| 1 | c=======================================================================
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| 2 | subroutine hmholtz(name,u,rhs,h1,h2,mask,mult,imsh,tli,maxit,isd)
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| 3 | include 'SIZE'
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| 4 | include 'TOTAL'
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| 5 | include 'FDMH1'
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| 6 | include 'CTIMER'
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| 7 |
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| 8 | CHARACTER NAME*4
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| 9 | REAL U (LX1,LY1,LZ1,1)
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| 10 | REAL RHS (LX1,LY1,LZ1,1)
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| 11 | REAL H1 (LX1,LY1,LZ1,1)
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| 12 | REAL H2 (LX1,LY1,LZ1,1)
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| 13 | REAL MASK (LX1,LY1,LZ1,1)
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| 14 | REAL MULT (LX1,LY1,LZ1,1)
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| 15 |
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| 16 | logical iffdm
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| 17 | character*3 nam3
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| 18 |
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| 19 | tol = abs(tli)
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| 20 |
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| 21 | iffdm = .false.
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| 22 | if (ifsplit) iffdm = .true.
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| 23 | if (icalld.eq.0.and.iffdm) call set_fdm_prec_h1A
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| 24 | icalld = icalld+1
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| 25 |
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| 26 | #ifdef TIMER
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| 27 | if (name.ne.'PRES') then
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| 28 | nhmhz = nhmhz + 1
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| 29 | etime1 = dnekclock()
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| 30 | endif
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| 31 | #endif
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| 32 |
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| 33 | ntot = lx1*ly1*lz1*nelfld(ifield)
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| 34 | if (imsh.eq.1) ntot = lx1*ly1*lz1*nelv
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| 35 | if (imsh.eq.2) ntot = lx1*ly1*lz1*nelt
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| 36 |
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| 37 | C Determine which field is being computed for FDM based preconditioner bc's
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| 38 | c
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| 39 | call chcopy(nam3,name,3)
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| 40 | c
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| 41 | kfldfdm = -1
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| 42 | c if (nam3.eq.'TEM' ) kfldfdm = 0
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| 43 | c if (name.eq.'TEM1') kfldfdm = 0 ! hardcode for temp only, for mpaul
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| 44 | c if (name.eq.'VELX') kfldfdm = 1
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| 45 | c if (name.eq.'VELY') kfldfdm = 2
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| 46 | c if (name.eq.'VELZ') kfldfdm = 3
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| 47 | if (name.eq.'PRES') kfldfdm = ldim+1
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| 48 | c if (.not.iffdm) kfldfdm=-1
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| 49 | C
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| 50 | call dssum (rhs,lx1,ly1,lz1)
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| 51 | call col2 (rhs,mask,ntot)
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| 52 | c if (nio.eq.0.and.istep.le.10)
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| 53 | c $ write(6,*) param(22),' p22 ',istep,imsh
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| 54 | if (param(22).eq.0.or.istep.le.10)
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| 55 | $ call chktcg1 (tol,rhs,h1,h2,mask,mult,imsh,isd)
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| 56 |
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| 57 | if (tli.lt.0) tol=tli ! caller-specified relative tolerance
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| 58 |
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| 59 | if (imsh.eq.1) call cggo
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| 60 | $ (u,rhs,h1,h2,mask,mult,imsh,tol,maxit,isd,binvm1,name)
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| 61 | if (imsh.eq.2) call cggo
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| 62 | $ (u,rhs,h1,h2,mask,mult,imsh,tol,maxit,isd,bintm1,name)
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| 63 |
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| 64 | #ifdef TIMER
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| 65 | if (name.ne.'PRES') thmhz=thmhz+(dnekclock()-etime1)
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| 66 | #endif
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| 67 |
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| 68 | return
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| 69 | END
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| 70 | C
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| 71 | c=======================================================================
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| 72 | subroutine axhelm (au,u,helm1,helm2,imesh,isd)
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| 73 | C------------------------------------------------------------------
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| 74 | C
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| 75 | C Compute the (Helmholtz) matrix-vector product,
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| 76 | C AU = helm1*[A]u + helm2*[B]u, for NEL elements.
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| 77 | C
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| 78 | C------------------------------------------------------------------
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| 79 | include 'SIZE'
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| 80 | include 'WZ'
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| 81 | include 'DXYZ'
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| 82 | include 'GEOM'
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| 83 | include 'MASS'
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| 84 | include 'INPUT'
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| 85 | include 'PARALLEL'
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| 86 | include 'CTIMER'
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| 87 | C
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| 88 | COMMON /FASTAX/ WDDX(LX1,LX1),WDDYT(LY1,LY1),WDDZT(LZ1,LZ1)
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| 89 | COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
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| 90 | LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
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| 91 | C
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| 92 | REAL AU (LX1,LY1,LZ1,1)
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| 93 | $ , U (LX1,LY1,LZ1,1)
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| 94 | $ , HELM1 (LX1,LY1,LZ1,1)
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| 95 | $ , HELM2 (LX1,LY1,LZ1,1)
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| 96 | COMMON /CTMP1/ DUDR (LX1,LY1,LZ1)
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| 97 | $ , DUDS (LX1,LY1,LZ1)
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| 98 | $ , DUDT (LX1,LY1,LZ1)
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| 99 | $ , TMP1 (LX1,LY1,LZ1)
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| 100 | $ , TMP2 (LX1,LY1,LZ1)
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| 101 | $ , TMP3 (LX1,LY1,LZ1)
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| 102 |
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| 103 | REAL TM1 (LX1,LY1,LZ1)
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| 104 | REAL TM2 (LX1,LY1,LZ1)
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| 105 | REAL TM3 (LX1,LY1,LZ1)
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| 106 | REAL DUAX (LX1)
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| 107 | REAL YSM1 (LX1)
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| 108 | EQUIVALENCE (DUDR,TM1),(DUDS,TM2),(DUDT,TM3)
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| 109 |
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| 110 | integer e
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| 111 |
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| 112 | naxhm = naxhm + 1
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| 113 | etime1 = dnekclock()
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| 114 |
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| 115 | nel=nelt
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| 116 | if (imesh.eq.1) nel=nelv
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| 117 |
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| 118 | NXY=lx1*ly1
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| 119 | NYZ=ly1*lz1
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| 120 | NXZ=lx1*lz1
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| 121 | NXYZ=lx1*ly1*lz1
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| 122 | NTOT=NXYZ*NEL
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| 123 |
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| 124 | IF (.NOT.IFSOLV) CALL SETFAST(HELM1,HELM2,IMESH)
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| 125 | CALL RZERO (AU,NTOT)
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| 126 |
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| 127 | do 100 e=1,nel
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| 128 | C
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| 129 | if (ifaxis) call setaxdy ( ifrzer(e) )
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| 130 | C
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| 131 | IF (ldim.EQ.2) THEN
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| 132 | C
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| 133 | C 2-d case ...............
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| 134 | C
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| 135 | if (iffast(e)) then
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| 136 | C
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| 137 | C Fast 2-d mode: constant properties and undeformed element
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| 138 | C
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| 139 | h1 = helm1(1,1,1,e)
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| 140 | call mxm (wddx,lx1,u(1,1,1,e),lx1,tm1,nyz)
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| 141 | call mxm (u(1,1,1,e),lx1,wddyt,ly1,tm2,ly1)
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| 142 | call col2 (tm1,g4m1(1,1,1,e),nxyz)
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| 143 | call col2 (tm2,g5m1(1,1,1,e),nxyz)
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| 144 | call add3 (au(1,1,1,e),tm1,tm2,nxyz)
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| 145 | call cmult (au(1,1,1,e),h1,nxyz)
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| 146 | C
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| 147 | else
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| 148 | C
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| 149 | C
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| 150 | call mxm (dxm1,lx1,u(1,1,1,e),lx1,dudr,nyz)
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| 151 | call mxm (u(1,1,1,e),lx1,dytm1,ly1,duds,ly1)
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| 152 | call col3 (tmp1,dudr,g1m1(1,1,1,e),nxyz)
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| 153 | call col3 (tmp2,duds,g2m1(1,1,1,e),nxyz)
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| 154 | if (ifdfrm(e)) then
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| 155 | call addcol3 (tmp1,duds,g4m1(1,1,1,e),nxyz)
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| 156 | call addcol3 (tmp2,dudr,g4m1(1,1,1,e),nxyz)
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| 157 | endif
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| 158 | call col2 (tmp1,helm1(1,1,1,e),nxyz)
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| 159 | call col2 (tmp2,helm1(1,1,1,e),nxyz)
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| 160 | call mxm (dxtm1,lx1,tmp1,lx1,tm1,nyz)
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| 161 | call mxm (tmp2,lx1,dym1,ly1,tm2,ly1)
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| 162 | call add2 (au(1,1,1,e),tm1,nxyz)
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| 163 | call add2 (au(1,1,1,e),tm2,nxyz)
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| 164 |
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| 165 | endif
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| 166 | C
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| 167 | else
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| 168 | C
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| 169 | C 3-d case ...............
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| 170 | C
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| 171 | if (iffast(e)) then
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| 172 | C
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| 173 | C Fast 3-d mode: constant properties and undeformed element
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| 174 | C
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| 175 | h1 = helm1(1,1,1,e)
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| 176 | call mxm (wddx,lx1,u(1,1,1,e),lx1,tm1,nyz)
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| 177 | do 5 iz=1,lz1
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| 178 | call mxm (u(1,1,iz,e),lx1,wddyt,ly1,tm2(1,1,iz),ly1)
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| 179 | 5 continue
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| 180 | call mxm (u(1,1,1,e),nxy,wddzt,lz1,tm3,lz1)
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| 181 | call col2 (tm1,g4m1(1,1,1,e),nxyz)
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| 182 | call col2 (tm2,g5m1(1,1,1,e),nxyz)
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| 183 | call col2 (tm3,g6m1(1,1,1,e),nxyz)
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| 184 | call add3 (au(1,1,1,e),tm1,tm2,nxyz)
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| 185 | call add2 (au(1,1,1,e),tm3,nxyz)
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| 186 | call cmult (au(1,1,1,e),h1,nxyz)
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| 187 | C
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| 188 | else
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| 189 | C
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| 190 | C
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| 191 | call mxm(dxm1,lx1,u(1,1,1,e),lx1,dudr,nyz)
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| 192 | do 10 iz=1,lz1
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| 193 | call mxm(u(1,1,iz,e),lx1,dytm1,ly1,duds(1,1,iz),ly1)
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| 194 | 10 continue
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| 195 | call mxm (u(1,1,1,e),nxy,dztm1,lz1,dudt,lz1)
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| 196 | call col3 (tmp1,dudr,g1m1(1,1,1,e),nxyz)
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| 197 | call col3 (tmp2,duds,g2m1(1,1,1,e),nxyz)
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| 198 | call col3 (tmp3,dudt,g3m1(1,1,1,e),nxyz)
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| 199 | if (ifdfrm(e)) then
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| 200 | call addcol3 (tmp1,duds,g4m1(1,1,1,e),nxyz)
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| 201 | call addcol3 (tmp1,dudt,g5m1(1,1,1,e),nxyz)
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| 202 | call addcol3 (tmp2,dudr,g4m1(1,1,1,e),nxyz)
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| 203 | call addcol3 (tmp2,dudt,g6m1(1,1,1,e),nxyz)
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| 204 | call addcol3 (tmp3,dudr,g5m1(1,1,1,e),nxyz)
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| 205 | call addcol3 (tmp3,duds,g6m1(1,1,1,e),nxyz)
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| 206 | endif
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| 207 | call col2 (tmp1,helm1(1,1,1,e),nxyz)
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| 208 | call col2 (tmp2,helm1(1,1,1,e),nxyz)
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| 209 | call col2 (tmp3,helm1(1,1,1,e),nxyz)
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| 210 | call mxm (dxtm1,lx1,tmp1,lx1,tm1,nyz)
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| 211 | do 20 iz=1,lz1
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| 212 | call mxm(tmp2(1,1,iz),lx1,dym1,ly1,tm2(1,1,iz),ly1)
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| 213 | 20 continue
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| 214 | call mxm (tmp3,nxy,dzm1,lz1,tm3,lz1)
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| 215 | call add2 (au(1,1,1,e),tm1,nxyz)
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| 216 | call add2 (au(1,1,1,e),tm2,nxyz)
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| 217 | call add2 (au(1,1,1,e),tm3,nxyz)
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| 218 | C
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| 219 | endif
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| 220 | c
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| 221 | endif
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| 222 | C
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| 223 | 100 continue
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| 224 | C
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| 225 | if (ifh2) call addcol4 (au,helm2,bm1,u,ntot)
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| 226 | C
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| 227 | C If axisymmetric, add a diagonal term in the radial direction (ISD=2)
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| 228 | C
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| 229 | if (ifaxis.and.(isd.eq.2)) then
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| 230 | do 200 e=1,nel
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| 231 | C
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| 232 | if (ifrzer(e)) then
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| 233 | call mxm(u (1,1,1,e),lx1,datm1,ly1,duax,1)
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| 234 | call mxm(ym1(1,1,1,e),lx1,datm1,ly1,ysm1,1)
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| 235 | endif
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| 236 | c
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| 237 | do 190 j=1,ly1
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| 238 | do 190 i=1,lx1
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| 239 | C if (ym1(i,j,1,e).ne.0.) then
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| 240 | if (ifrzer(e)) then
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| 241 | term1 = 0.0
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| 242 | if(j.ne.1)
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| 243 | $ term1 = bm1(i,j,1,e)*u(i,j,1,e)/ym1(i,j,1,e)**2
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| 244 | term2 = wxm1(i)*wam1(1)*dam1(1,j)*duax(i)
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| 245 | $ *jacm1(i,1,1,e)/ysm1(i)
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| 246 | else
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| 247 | term1 = bm1(i,j,1,e)*u(i,j,1,e)/ym1(i,j,1,e)**2
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| 248 | term2 = 0.
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| 249 | endif
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| 250 | au(i,j,1,e) = au(i,j,1,e)
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| 251 | $ + helm1(i,j,1,e)*(term1+term2)
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| 252 | C endif
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| 253 | 190 continue
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| 254 | 200 continue
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| 255 | endif
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| 256 |
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| 257 | taxhm=taxhm+(dnekclock()-etime1)
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| 258 | return
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| 259 | end
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| 260 | C
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| 261 | c=======================================================================
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| 262 | subroutine setfast (helm1,helm2,imesh)
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| 263 | C-------------------------------------------------------------------
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| 264 | C
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| 265 | C Set logicals for fast evaluation of A*x
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| 266 | C
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| 267 | C-------------------------------------------------------------------
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| 268 | include 'SIZE'
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| 269 | include 'INPUT'
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| 270 | COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
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| 271 | LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
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| 272 | REAL HELM1(lx1,ly1,lz1,1), HELM2(lx1,ly1,lz1,1)
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| 273 | C
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| 274 | IF (IMESH.EQ.1) NEL=NELV
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| 275 | IF (IMESH.EQ.2) NEL=NELT
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| 276 | NXYZ = lx1*ly1*lz1
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| 277 | NTOT = NXYZ*NEL
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| 278 | C
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| 279 | DELTA = 1.E-9
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| 280 | X = 1.+DELTA
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| 281 | Y = 1.
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| 282 | DIFF = ABS(X-Y)
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| 283 | IF (DIFF.EQ.0.0) EPSM = 1.E-6
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| 284 | IF (DIFF.GT.0.0) EPSM = 1.E-13
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| 285 | C
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| 286 | DO 100 ie=1,NEL
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| 287 | IFFAST(ie) = .FALSE.
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| 288 | IF (IFDFRM(ie).OR.IFAXIS) THEN
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| 289 | IFFAST(ie) = .FALSE.
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| 290 | ELSE
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| 291 | H1MIN = VLMIN(HELM1(1,1,1,ie),NXYZ)
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| 292 | H1MAX = VLMAX(HELM1(1,1,1,ie),NXYZ)
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| 293 | den = abs(h1max)+abs(h1min)
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| 294 | if (den.gt.0) then
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| 295 | TESTH1 = ABS((H1MAX-H1MIN)/(H1MAX+H1MIN))
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| 296 | IF (TESTH1.LT.EPSM) IFFAST(ie) = .TRUE.
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| 297 | else
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| 298 | iffast(ie) = .true.
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| 299 | endif
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| 300 | ENDIF
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| 301 | 100 CONTINUE
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| 302 | c
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| 303 | IFH2 = .FALSE.
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| 304 | TESTH2 = VLAMAX(HELM2,NTOT)
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| 305 | IF (TESTH2.GT.0.) IFH2 = .TRUE.
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| 306 | return
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| 307 | END
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| 308 | C
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| 309 | c=======================================================================
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| 310 | subroutine sfastax
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| 311 | C----------------------------------------------------------------------
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| 312 | C
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| 313 | C For undeformed elements, set up appropriate elemental matrices
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| 314 | C and geometric factors for fast evaluation of Ax.
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| 315 | C
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| 316 | C----------------------------------------------------------------------
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| 317 | include 'SIZE'
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| 318 | include 'WZ'
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| 319 | include 'DXYZ'
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| 320 | include 'GEOM'
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| 321 | COMMON /FASTAX/ WDDX(LX1,LY1),WDDYT(LY1,LY1),WDDZT(LZ1,LZ1)
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| 322 | COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
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| 323 | LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
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| 324 | LOGICAL IFIRST
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| 325 | SAVE IFIRST
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| 326 | DATA IFIRST /.TRUE./
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| 327 | C
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| 328 | NXX=lx1*lx1
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| 329 | IF (IFIRST) THEN
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| 330 | CALL RZERO(WDDX,NXX)
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| 331 | DO 100 I=1,lx1
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| 332 | DO 100 J=1,lx1
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| 333 | DO 100 IP=1,lx1
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| 334 | WDDX(I,J) = WDDX(I,J) + WXM1(IP)*DXM1(IP,I)*DXM1(IP,J)
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| 335 | 100 CONTINUE
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| 336 | NYY=ly1*ly1
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| 337 | CALL RZERO(WDDYT,NYY)
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| 338 | DO 200 I=1,ly1
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| 339 | DO 200 J=1,ly1
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| 340 | DO 200 IP=1,ly1
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| 341 | WDDYT(J,I) = WDDYT(J,I) + WYM1(IP)*DYM1(IP,I)*DYM1(IP,J)
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| 342 | 200 CONTINUE
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| 343 | NZZ=lz1*lz1
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| 344 | CALL RZERO(WDDZT,NZZ)
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| 345 | DO 300 I=1,lz1
|
|---|
| 346 | DO 300 J=1,lz1
|
|---|
| 347 | DO 300 IP=1,lz1
|
|---|
| 348 | WDDZT(J,I) = WDDZT(J,I) + WZM1(IP)*DZM1(IP,I)*DZM1(IP,J)
|
|---|
| 349 | 300 CONTINUE
|
|---|
| 350 | IFIRST=.FALSE.
|
|---|
| 351 | ENDIF
|
|---|
| 352 | C
|
|---|
| 353 | IF (ldim.EQ.3) THEN
|
|---|
| 354 | DO 1001 IE=1,NELT
|
|---|
| 355 | IF (.NOT.IFDFRM(IE)) THEN
|
|---|
| 356 | DO 1000 IZ=1,lz1
|
|---|
| 357 | DO 1000 IY=1,ly1
|
|---|
| 358 | DO 1000 IX=1,lx1
|
|---|
| 359 | G4M1(IX,IY,IZ,IE)=G1M1(IX,IY,IZ,IE)/WXM1(IX)
|
|---|
| 360 | G5M1(IX,IY,IZ,IE)=G2M1(IX,IY,IZ,IE)/WYM1(IY)
|
|---|
| 361 | G6M1(IX,IY,IZ,IE)=G3M1(IX,IY,IZ,IE)/WZM1(IZ)
|
|---|
| 362 | 1000 CONTINUE
|
|---|
| 363 | ENDIF
|
|---|
| 364 | 1001 CONTINUE
|
|---|
| 365 | ELSE
|
|---|
| 366 | DO 2001 IE=1,NELT
|
|---|
| 367 | IF (.NOT.IFDFRM(IE)) THEN
|
|---|
| 368 | DO 2000 IY=1,ly1
|
|---|
| 369 | DO 2000 IX=1,lx1
|
|---|
| 370 | G4M1(IX,IY,1,IE)=G1M1(IX,IY,1,IE)/WXM1(IX)
|
|---|
| 371 | G5M1(IX,IY,1,IE)=G2M1(IX,IY,1,IE)/WYM1(IY)
|
|---|
| 372 | 2000 CONTINUE
|
|---|
| 373 | ENDIF
|
|---|
| 374 | 2001 CONTINUE
|
|---|
| 375 | ENDIF
|
|---|
| 376 | return
|
|---|
| 377 | END
|
|---|
| 378 | C
|
|---|
| 379 | c=======================================================================
|
|---|
| 380 | subroutine setprec (dpcm1,helm1,helm2,imsh,isd)
|
|---|
| 381 | C-------------------------------------------------------------------
|
|---|
| 382 | C
|
|---|
| 383 | C Generate diagonal preconditioner for the Helmholtz operator.
|
|---|
| 384 | C
|
|---|
| 385 | C-------------------------------------------------------------------
|
|---|
| 386 | include 'SIZE'
|
|---|
| 387 | include 'WZ'
|
|---|
| 388 | include 'DXYZ'
|
|---|
| 389 | include 'GEOM'
|
|---|
| 390 | include 'INPUT'
|
|---|
| 391 | include 'TSTEP'
|
|---|
| 392 | include 'MASS'
|
|---|
| 393 | REAL DPCM1 (LX1,LY1,LZ1,1)
|
|---|
| 394 | COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
|
|---|
| 395 | LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
|
|---|
| 396 | REAL HELM1(lx1,ly1,lz1,1), HELM2(lx1,ly1,lz1,1)
|
|---|
| 397 | REAL YSM1(LY1)
|
|---|
| 398 |
|
|---|
| 399 | nel=nelt
|
|---|
| 400 | if (imsh.eq.1) nel=nelv
|
|---|
| 401 |
|
|---|
| 402 | ntot = nel*lx1*ly1*lz1
|
|---|
| 403 |
|
|---|
| 404 | c The following lines provide a convenient debugging option
|
|---|
| 405 | c call rone(dpcm1,ntot)
|
|---|
| 406 | c if (ifield.eq.1) call copy(dpcm1,binvm1,ntot)
|
|---|
| 407 | c if (ifield.eq.2) call copy(dpcm1,bintm1,ntot)
|
|---|
| 408 | c return
|
|---|
| 409 |
|
|---|
| 410 | CALL RZERO(DPCM1,NTOT)
|
|---|
| 411 | DO 1000 IE=1,NEL
|
|---|
| 412 |
|
|---|
| 413 | IF (IFAXIS) CALL SETAXDY ( IFRZER(IE) )
|
|---|
| 414 |
|
|---|
| 415 | DO 320 IQ=1,lx1
|
|---|
| 416 | DO 320 IZ=1,lz1
|
|---|
| 417 | DO 320 IY=1,ly1
|
|---|
| 418 | DO 320 IX=1,lx1
|
|---|
| 419 | DPCM1(IX,IY,IZ,IE) = DPCM1(IX,IY,IZ,IE) +
|
|---|
| 420 | $ G1M1(IQ,IY,IZ,IE) * DXTM1(IX,IQ)**2
|
|---|
| 421 | 320 CONTINUE
|
|---|
| 422 | DO 340 IQ=1,ly1
|
|---|
| 423 | DO 340 IZ=1,lz1
|
|---|
| 424 | DO 340 IY=1,ly1
|
|---|
| 425 | DO 340 IX=1,lx1
|
|---|
| 426 | DPCM1(IX,IY,IZ,IE) = DPCM1(IX,IY,IZ,IE) +
|
|---|
| 427 | $ G2M1(IX,IQ,IZ,IE) * DYTM1(IY,IQ)**2
|
|---|
| 428 | 340 CONTINUE
|
|---|
| 429 | IF (LDIM.EQ.3) THEN
|
|---|
| 430 | DO 360 IQ=1,lz1
|
|---|
| 431 | DO 360 IZ=1,lz1
|
|---|
| 432 | DO 360 IY=1,ly1
|
|---|
| 433 | DO 360 IX=1,lx1
|
|---|
| 434 | DPCM1(IX,IY,IZ,IE) = DPCM1(IX,IY,IZ,IE) +
|
|---|
| 435 | $ G3M1(IX,IY,IQ,IE) * DZTM1(IZ,IQ)**2
|
|---|
| 436 | 360 CONTINUE
|
|---|
| 437 | C
|
|---|
| 438 | C Add cross terms if element is deformed.
|
|---|
| 439 | C
|
|---|
| 440 | IF (IFDFRM(IE)) THEN
|
|---|
| 441 | DO 600 IY=1,ly1,ly1-1
|
|---|
| 442 | DO 600 IZ=1,lz1,max(1,lz1-1)
|
|---|
| 443 | DPCM1(1,IY,IZ,IE) = DPCM1(1,IY,IZ,IE)
|
|---|
| 444 | $ + G4M1(1,IY,IZ,IE) * DXTM1(1,1)*DYTM1(IY,IY)
|
|---|
| 445 | $ + G5M1(1,IY,IZ,IE) * DXTM1(1,1)*DZTM1(IZ,IZ)
|
|---|
| 446 | DPCM1(lx1,IY,IZ,IE) = DPCM1(lx1,IY,IZ,IE)
|
|---|
| 447 | $ + G4M1(lx1,IY,IZ,IE) * DXTM1(lx1,lx1)*DYTM1(IY,IY)
|
|---|
| 448 | $ + G5M1(lx1,IY,IZ,IE) * DXTM1(lx1,lx1)*DZTM1(IZ,IZ)
|
|---|
| 449 | 600 CONTINUE
|
|---|
| 450 | DO 700 IX=1,lx1,lx1-1
|
|---|
| 451 | DO 700 IZ=1,lz1,max(1,lz1-1)
|
|---|
| 452 | DPCM1(IX,1,IZ,IE) = DPCM1(IX,1,IZ,IE)
|
|---|
| 453 | $ + G4M1(IX,1,IZ,IE) * DYTM1(1,1)*DXTM1(IX,IX)
|
|---|
| 454 | $ + G6M1(IX,1,IZ,IE) * DYTM1(1,1)*DZTM1(IZ,IZ)
|
|---|
| 455 | DPCM1(IX,ly1,IZ,IE) = DPCM1(IX,ly1,IZ,IE)
|
|---|
| 456 | $ + G4M1(IX,ly1,IZ,IE) * DYTM1(ly1,ly1)*DXTM1(IX,IX)
|
|---|
| 457 | $ + G6M1(IX,ly1,IZ,IE) * DYTM1(ly1,ly1)*DZTM1(IZ,IZ)
|
|---|
| 458 | 700 CONTINUE
|
|---|
| 459 | DO 800 IX=1,lx1,lx1-1
|
|---|
| 460 | DO 800 IY=1,ly1,ly1-1
|
|---|
| 461 | DPCM1(IX,IY,1,IE) = DPCM1(IX,IY,1,IE)
|
|---|
| 462 | $ + G5M1(IX,IY,1,IE) * DZTM1(1,1)*DXTM1(IX,IX)
|
|---|
| 463 | $ + G6M1(IX,IY,1,IE) * DZTM1(1,1)*DYTM1(IY,IY)
|
|---|
| 464 | DPCM1(IX,IY,lz1,IE) = DPCM1(IX,IY,lz1,IE)
|
|---|
| 465 | $ + G5M1(IX,IY,lz1,IE) * DZTM1(lz1,lz1)*DXTM1(IX,IX)
|
|---|
| 466 | $ + G6M1(IX,IY,lz1,IE) * DZTM1(lz1,lz1)*DYTM1(IY,IY)
|
|---|
| 467 | 800 CONTINUE
|
|---|
| 468 | ENDIF
|
|---|
| 469 |
|
|---|
| 470 | ELSE ! 2D
|
|---|
| 471 |
|
|---|
| 472 | IZ=1
|
|---|
| 473 | IF (IFDFRM(IE)) THEN
|
|---|
| 474 | DO 602 IY=1,ly1,ly1-1
|
|---|
| 475 | DPCM1(1,IY,IZ,IE) = DPCM1(1,IY,IZ,IE)
|
|---|
| 476 | $ + G4M1(1,IY,IZ,IE) * DXTM1(1,1)*DYTM1(IY,IY)
|
|---|
| 477 | DPCM1(lx1,IY,IZ,IE) = DPCM1(lx1,IY,IZ,IE)
|
|---|
| 478 | $ + G4M1(lx1,IY,IZ,IE) * DXTM1(lx1,lx1)*DYTM1(IY,IY)
|
|---|
| 479 | 602 CONTINUE
|
|---|
| 480 | DO 702 IX=1,lx1,lx1-1
|
|---|
| 481 | DPCM1(IX,1,IZ,IE) = DPCM1(IX,1,IZ,IE)
|
|---|
| 482 | $ + G4M1(IX,1,IZ,IE) * DYTM1(1,1)*DXTM1(IX,IX)
|
|---|
| 483 | DPCM1(IX,ly1,IZ,IE) = DPCM1(IX,ly1,IZ,IE)
|
|---|
| 484 | $ + G4M1(IX,ly1,IZ,IE) * DYTM1(ly1,ly1)*DXTM1(IX,IX)
|
|---|
| 485 | 702 CONTINUE
|
|---|
| 486 | ENDIF
|
|---|
| 487 |
|
|---|
| 488 | ENDIF
|
|---|
| 489 | 1000 CONTINUE
|
|---|
| 490 | C
|
|---|
| 491 | CALL COL2 (DPCM1,HELM1,NTOT)
|
|---|
| 492 | CALL ADDCOL3 (DPCM1,HELM2,BM1,NTOT)
|
|---|
| 493 | C
|
|---|
| 494 | C If axisymmetric, add a diagonal term in the radial direction (ISD=2)
|
|---|
| 495 | C
|
|---|
| 496 | IF (IFAXIS.AND.(ISD.EQ.2)) THEN
|
|---|
| 497 | DO 1200 IEL=1,NEL
|
|---|
| 498 | C
|
|---|
| 499 | IF (IFRZER(IEL)) THEN
|
|---|
| 500 | CALL MXM(YM1(1,1,1,IEL),lx1,DATM1,ly1,YSM1,1)
|
|---|
| 501 | ENDIF
|
|---|
| 502 | C
|
|---|
| 503 | DO 1190 J=1,ly1
|
|---|
| 504 | DO 1190 I=1,lx1
|
|---|
| 505 | IF (YM1(I,J,1,IEL).NE.0.) THEN
|
|---|
| 506 | TERM1 = BM1(I,J,1,IEL)/YM1(I,J,1,IEL)**2
|
|---|
| 507 | IF (IFRZER(IEL)) THEN
|
|---|
| 508 | TERM2 = WXM1(I)*WAM1(1)*DAM1(1,J)
|
|---|
| 509 | $ *JACM1(I,1,1,IEL)/YSM1(I)
|
|---|
| 510 | ELSE
|
|---|
| 511 | TERM2 = 0.
|
|---|
| 512 | ENDIF
|
|---|
| 513 | DPCM1(I,J,1,IEL) = DPCM1(I,J,1,IEL)
|
|---|
| 514 | $ + HELM1(I,J,1,IEL)*(TERM1+TERM2)
|
|---|
| 515 | ENDIF
|
|---|
| 516 | 1190 CONTINUE
|
|---|
| 517 | 1200 CONTINUE
|
|---|
| 518 | ENDIF
|
|---|
| 519 | C
|
|---|
| 520 | CALL DSSUM (DPCM1,lx1,ly1,lz1)
|
|---|
| 521 | CALL INVCOL1 (DPCM1,NTOT)
|
|---|
| 522 | C
|
|---|
| 523 | return
|
|---|
| 524 | END
|
|---|
| 525 | C
|
|---|
| 526 | c=======================================================================
|
|---|
| 527 | subroutine chktcg1 (tol,res,h1,h2,mask,mult,imesh,isd)
|
|---|
| 528 | C-------------------------------------------------------------------
|
|---|
| 529 | C
|
|---|
| 530 | C Check that the tolerances are not too small for the CG-solver.
|
|---|
| 531 | C Important when calling the CG-solver (Gauss-Lobatto mesh) with
|
|---|
| 532 | C zero Neumann b.c.
|
|---|
| 533 | C
|
|---|
| 534 | C-------------------------------------------------------------------
|
|---|
| 535 | include 'SIZE'
|
|---|
| 536 | include 'INPUT'
|
|---|
| 537 | include 'MASS'
|
|---|
| 538 | include 'EIGEN'
|
|---|
| 539 | COMMON /CPRINT/ IFPRINT
|
|---|
| 540 | LOGICAL IFPRINT
|
|---|
| 541 | COMMON /CTMP0/ W1 (LX1,LY1,LZ1,LELT)
|
|---|
| 542 | $ , W2 (LX1,LY1,LZ1,LELT)
|
|---|
| 543 | REAL RES (LX1,LY1,LZ1,1)
|
|---|
| 544 | REAL H1 (LX1,LY1,LZ1,1)
|
|---|
| 545 | REAL H2 (LX1,LY1,LZ1,1)
|
|---|
| 546 | REAL MULT (LX1,LY1,LZ1,1)
|
|---|
| 547 | REAL MASK (LX1,LY1,LZ1,1)
|
|---|
| 548 | C
|
|---|
| 549 | IF (EIGAA.NE.0.) THEN
|
|---|
| 550 | ACONDNO = EIGGA/EIGAA
|
|---|
| 551 | ELSE
|
|---|
| 552 | ACONDNO = 10.
|
|---|
| 553 | ENDIF
|
|---|
| 554 | C
|
|---|
| 555 | C Single or double precision???
|
|---|
| 556 | C
|
|---|
| 557 | DELTA = 1.E-9
|
|---|
| 558 | X = 1.+DELTA
|
|---|
| 559 | Y = 1.
|
|---|
| 560 | DIFF = ABS(X-Y)
|
|---|
| 561 | IF (DIFF.EQ.0.) EPS = 1.E-6
|
|---|
| 562 | IF (DIFF.GT.0.) EPS = 1.E-13
|
|---|
| 563 | C
|
|---|
| 564 | IF (IMESH.EQ.1) THEN
|
|---|
| 565 | NL = NELV
|
|---|
| 566 | VOL = VOLVM1
|
|---|
| 567 | ELSEIF (IMESH.EQ.2) THEN
|
|---|
| 568 | NL = NELT
|
|---|
| 569 | VOL = VOLTM1
|
|---|
| 570 | ENDIF
|
|---|
| 571 | NTOT1 = lx1*ly1*lz1*NL
|
|---|
| 572 | CALL COPY (W1,RES,NTOT1)
|
|---|
| 573 | C
|
|---|
| 574 | IF (IMESH.EQ.1) THEN
|
|---|
| 575 | CALL COL3 (W2,BINVM1,W1,NTOT1)
|
|---|
| 576 | RINIT = SQRT(GLSC3 (W2,W1,MULT,NTOT1)/VOLVM1)
|
|---|
| 577 | ELSE
|
|---|
| 578 | CALL COL3 (W2,BINTM1,W1,NTOT1)
|
|---|
| 579 | RINIT = SQRT(GLSC3 (W2,W1,MULT,NTOT1)/VOLTM1)
|
|---|
| 580 | ENDIF
|
|---|
| 581 | RMIN = EPS*RINIT
|
|---|
| 582 | IF (TOL.LT.RMIN) THEN
|
|---|
| 583 | IF (NIO.EQ.0.AND.IFPRINT)
|
|---|
| 584 | $ WRITE (6,*) 'New CG1-tolerance (RINIT*epsm) = ',RMIN,TOL
|
|---|
| 585 | TOL = RMIN
|
|---|
| 586 | ENDIF
|
|---|
| 587 | C
|
|---|
| 588 | CALL RONE (W1,NTOT1)
|
|---|
| 589 | BCNEU1 = GLSC3(W1,MASK,MULT,NTOT1)
|
|---|
| 590 | BCNEU2 = GLSC3(W1,W1 ,MULT,NTOT1)
|
|---|
| 591 | BCTEST = ABS(BCNEU1-BCNEU2)
|
|---|
| 592 | C
|
|---|
| 593 | CALL AXHELM (W2,W1,H1,H2,IMESH,ISD)
|
|---|
| 594 | CALL COL2 (W2,W2,NTOT1)
|
|---|
| 595 | CALL COL2 (W2,BM1,NTOT1)
|
|---|
| 596 | BCROB = SQRT(GLSUM(W2,NTOT1)/VOL)
|
|---|
| 597 | C
|
|---|
| 598 | IF ((BCTEST .LT. .1).AND.(BCROB.LT.(EPS*ACONDNO))) THEN
|
|---|
| 599 | C OTR = GLSC3 (W1,RES,MULT,NTOT1)
|
|---|
| 600 | TOLMIN = RINIT*EPS*10.
|
|---|
| 601 | IF (TOL .LT. TOLMIN) THEN
|
|---|
| 602 | TOL = TOLMIN
|
|---|
| 603 | IF (NIO.EQ.0.AND.IFPRINT)
|
|---|
| 604 | $ WRITE(6,*) 'New CG1-tolerance (Neumann) = ',TOLMIN
|
|---|
| 605 | ENDIF
|
|---|
| 606 | ENDIF
|
|---|
| 607 | C
|
|---|
| 608 | return
|
|---|
| 609 | end
|
|---|
| 610 | c=======================================================================
|
|---|
| 611 | subroutine cggo(x,f,h1,h2,mask,mult,imsh,tin,maxit,isd,binv,name)
|
|---|
| 612 | C-------------------------------------------------------------------------
|
|---|
| 613 | C
|
|---|
| 614 | C Solve the Helmholtz equation, H*U = RHS,
|
|---|
| 615 | C using preconditioned conjugate gradient iteration.
|
|---|
| 616 | C Preconditioner: diag(H).
|
|---|
| 617 | C
|
|---|
| 618 | C------------------------------------------------------------------------
|
|---|
| 619 | include 'SIZE'
|
|---|
| 620 | include 'TOTAL'
|
|---|
| 621 | include 'FDMH1'
|
|---|
| 622 |
|
|---|
| 623 | COMMON /CPRINT/ IFPRINT, IFHZPC
|
|---|
| 624 | LOGICAL IFPRINT, IFHZPC
|
|---|
| 625 |
|
|---|
| 626 | common /fastmd/ ifdfrm(lelt), iffast(lelt), ifh2, ifsolv
|
|---|
| 627 | logical ifdfrm, iffast, ifh2, ifsolv
|
|---|
| 628 |
|
|---|
| 629 | logical ifmcor,ifprint_hmh
|
|---|
| 630 |
|
|---|
| 631 | real x(1),f(1),h1(1),h2(1),mask(1),mult(1),binv(1)
|
|---|
| 632 | parameter (lg=lx1*ly1*lz1*lelt)
|
|---|
| 633 | COMMON /SCRCG/ d (lg) , scalar(2)
|
|---|
| 634 | common /SCRMG/ r (lg) , w (lg) , p (lg) , z (lg)
|
|---|
| 635 | c
|
|---|
| 636 | parameter (maxcg=900)
|
|---|
| 637 | common /tdarray/ diagt(maxcg),upper(maxcg)
|
|---|
| 638 | common /iterhm/ niterhm
|
|---|
| 639 | character*4 name
|
|---|
| 640 | c
|
|---|
| 641 | if (ifsplit.and.name.eq.'PRES') then
|
|---|
| 642 | if (param(42).eq.0) then
|
|---|
| 643 | n = lx1*ly1*lz1*nelv
|
|---|
| 644 | call copy (x,f,n)
|
|---|
| 645 | iter = maxit
|
|---|
| 646 | call hmh_gmres (x,h1,h2,mult,iter)
|
|---|
| 647 | niterhm = iter
|
|---|
| 648 | return
|
|---|
| 649 | elseif(param(42).eq.2) then
|
|---|
| 650 | n = lx1*ly1*lz1*nelv
|
|---|
| 651 | call copy (x,f,n)
|
|---|
| 652 | iter = maxit
|
|---|
| 653 | call hmh_flex_cg(x,h1,h2,mult,iter)
|
|---|
| 654 | niterhm = iter
|
|---|
| 655 | return
|
|---|
| 656 | endif
|
|---|
| 657 | endif
|
|---|
| 658 |
|
|---|
| 659 | c ** zero out stuff for Lanczos eigenvalue estimator
|
|---|
| 660 | call rzero(diagt,maxcg)
|
|---|
| 661 | call rzero(upper,maxcg)
|
|---|
| 662 | rho = 0.00
|
|---|
| 663 | C
|
|---|
| 664 | C Initialization
|
|---|
| 665 | C
|
|---|
| 666 | NXYZ = lx1*ly1*lz1
|
|---|
| 667 | NEL = NELV
|
|---|
| 668 | VOL = VOLVM1
|
|---|
| 669 | IF (IMSH.EQ.2) NEL=NELT
|
|---|
| 670 | IF (IMSH.EQ.2) VOL=VOLTM1
|
|---|
| 671 | n = NEL*NXYZ
|
|---|
| 672 |
|
|---|
| 673 | tol=abs(tin)
|
|---|
| 674 |
|
|---|
| 675 | c overrule input tolerance
|
|---|
| 676 | if (restol(ifield).ne.0) tol=restol(ifield)
|
|---|
| 677 | if (name.eq.'PRES'.and.param(21).ne.0) tol=abs(param(21))
|
|---|
| 678 |
|
|---|
| 679 | if (tin.lt.0) tol=abs(tin)
|
|---|
| 680 | niter = min(maxit,maxcg)
|
|---|
| 681 |
|
|---|
| 682 | if (.not.ifsolv) then
|
|---|
| 683 | call setfast(h1,h2,imsh)
|
|---|
| 684 | ifsolv = .true.
|
|---|
| 685 | endif
|
|---|
| 686 | C
|
|---|
| 687 | C Set up diag preconditioner.
|
|---|
| 688 | C
|
|---|
| 689 | if (kfldfdm.lt.0) then
|
|---|
| 690 | call setprec(D,h1,h2,imsh,isd)
|
|---|
| 691 | elseif(param(100).ne.2) then
|
|---|
| 692 | call set_fdm_prec_h1b(d,h1,h2,nel)
|
|---|
| 693 | endif
|
|---|
| 694 |
|
|---|
| 695 | call copy (r,f,n)
|
|---|
| 696 | call rzero(x,n)
|
|---|
| 697 | call rzero(p,n)
|
|---|
| 698 |
|
|---|
| 699 | fmax = glamax(f,n)
|
|---|
| 700 | if (fmax.eq.0.0) return
|
|---|
| 701 |
|
|---|
| 702 | c Check for non-trivial null-space
|
|---|
| 703 |
|
|---|
| 704 | ifmcor = .false.
|
|---|
| 705 | h2max = glmax(h2 ,n)
|
|---|
| 706 | skmin = glmin(mask,n)
|
|---|
| 707 | if (skmin.gt.0.and.h2max.eq.0) ifmcor = .true.
|
|---|
| 708 | C
|
|---|
| 709 | if (name.eq.'PRES') then
|
|---|
| 710 | c call ortho (r) ! Commented out March 15, 2011,pff
|
|---|
| 711 | elseif (ifmcor) then
|
|---|
| 712 |
|
|---|
| 713 | smean = -1./glsum(bm1,n) ! Modified 5/4/12 pff
|
|---|
| 714 | rmean = smean*glsc2(r,mult,n)
|
|---|
| 715 | call copy(x,bm1,n)
|
|---|
| 716 | call dssum(x,lx1,ly1,lz1)
|
|---|
| 717 | call add2s2(r,x,rmean,n)
|
|---|
| 718 | call rzero(x,n)
|
|---|
| 719 | endif
|
|---|
| 720 | C
|
|---|
| 721 | krylov = 0
|
|---|
| 722 | rtz1=1.0
|
|---|
| 723 | niterhm = 0
|
|---|
| 724 |
|
|---|
| 725 | do iter=1,niter
|
|---|
| 726 | C
|
|---|
| 727 | if (kfldfdm.lt.0) then ! Jacobi Preconditioner
|
|---|
| 728 | c call copy(z,r,n)
|
|---|
| 729 | call col3(z,r,d,n)
|
|---|
| 730 | else ! Schwarz Preconditioner
|
|---|
| 731 | if (name.eq.'PRES'.and.param(100).eq.2) then
|
|---|
| 732 | call h1_overlap_2(z,r,mask)
|
|---|
| 733 | call crs_solve_h1 (w,r) ! Currently, crs grd only for P
|
|---|
| 734 | call add2 (z,w,n)
|
|---|
| 735 | else
|
|---|
| 736 | call fdm_h1(z,r,d,mask,mult,nel,ktype(1,1,kfldfdm),w)
|
|---|
| 737 | if (name.eq.'PRES') then
|
|---|
| 738 | call crs_solve_h1 (w,r) ! Currently, crs grd only for P
|
|---|
| 739 | call add2 (z,w,n)
|
|---|
| 740 | endif
|
|---|
| 741 | endif
|
|---|
| 742 | endif
|
|---|
| 743 | c
|
|---|
| 744 | if (name.eq.'PRES') then
|
|---|
| 745 | call ortho (z)
|
|---|
| 746 | elseif (ifmcor) then
|
|---|
| 747 | rmean = smean*glsc2(z,bm1,n)
|
|---|
| 748 | call cadd(z,rmean,n)
|
|---|
| 749 | endif
|
|---|
| 750 | c write(6,*) rmean,ifmcor,' ifmcor'
|
|---|
| 751 | c
|
|---|
| 752 | rtz2=rtz1
|
|---|
| 753 | scalar(1)=vlsc3 (z,r,mult,n)
|
|---|
| 754 | if(param(18).eq.1) then
|
|---|
| 755 | scalar(2)=vlsc3(r,r,mult,n)
|
|---|
| 756 | else
|
|---|
| 757 | scalar(2)=vlsc32(r,mult,binv,n)
|
|---|
| 758 | endif
|
|---|
| 759 | call gop(scalar,w,'+ ',2)
|
|---|
| 760 | rtz1=scalar(1)
|
|---|
| 761 | rbn2=sqrt(scalar(2)/vol)
|
|---|
| 762 | if (iter.eq.1) rbn0 = rbn2
|
|---|
| 763 | if (param(22).lt.0) tol=abs(param(22))*rbn0
|
|---|
| 764 | if (tin.lt.0) tol=abs(tin)*rbn0
|
|---|
| 765 |
|
|---|
| 766 | ifprint_hmh = .false.
|
|---|
| 767 | if (nio.eq.0.and.ifprint.and.param(74).ne.0) ifprint_hmh=.true.
|
|---|
| 768 | if (nio.eq.0.and.istep.eq.1) ifprint_hmh=.true.
|
|---|
| 769 |
|
|---|
| 770 | if (ifprint_hmh)
|
|---|
| 771 | & write(6,3002) istep,' Hmholtz ' // name,
|
|---|
| 772 | & iter,rbn2,h1(1),tol,h2(1),ifmcor
|
|---|
| 773 |
|
|---|
| 774 |
|
|---|
| 775 | c Always take at least one iteration (for projection) pff 11/23/98
|
|---|
| 776 | #ifndef FIXITER
|
|---|
| 777 | IF (rbn2.LE.TOL.and.(iter.gt.1 .or. istep.le.5)) THEN
|
|---|
| 778 | #else
|
|---|
| 779 | iter_max = param(150)
|
|---|
| 780 | if (name.eq.'PRES') iter_max = param(151)
|
|---|
| 781 | if (iter.gt.iter_max) then
|
|---|
| 782 | #endif
|
|---|
| 783 | c IF (rbn2.LE.TOL) THEN
|
|---|
| 784 | NITER = ITER-1
|
|---|
| 785 | c IF(NID.EQ.0.AND.((.NOT.IFHZPC).OR.IFPRINT))
|
|---|
| 786 | if (nio.eq.0)
|
|---|
| 787 | & write(6,3000) istep,' Hmholtz ' // name,
|
|---|
| 788 | & niter,rbn2,rbn0,tol
|
|---|
| 789 | goto 9999
|
|---|
| 790 | ENDIF
|
|---|
| 791 | c
|
|---|
| 792 | beta = rtz1/rtz2
|
|---|
| 793 | if (iter.eq.1) beta=0.0
|
|---|
| 794 | call add2s1 (p,z,beta,n)
|
|---|
| 795 | call axhelm (w,p,h1,h2,imsh,isd)
|
|---|
| 796 | call dssum (w,lx1,ly1,lz1)
|
|---|
| 797 | call col2 (w,mask,n)
|
|---|
| 798 | c
|
|---|
| 799 | rho0 = rho
|
|---|
| 800 | rho = glsc3(w,p,mult,n)
|
|---|
| 801 | alpha=rtz1/rho
|
|---|
| 802 | alphm=-alpha
|
|---|
| 803 | call add2s2(x,p ,alpha,n)
|
|---|
| 804 | call add2s2(r,w ,alphm,n)
|
|---|
| 805 | c
|
|---|
| 806 | c Generate tridiagonal matrix for Lanczos scheme
|
|---|
| 807 | if (iter.eq.1) then
|
|---|
| 808 | krylov = krylov+1
|
|---|
| 809 | diagt(iter) = rho/rtz1
|
|---|
| 810 | elseif (iter.le.maxcg) then
|
|---|
| 811 | krylov = krylov+1
|
|---|
| 812 | diagt(iter) = (beta**2 * rho0 + rho ) / rtz1
|
|---|
| 813 | upper(iter-1) = -beta * rho0 / sqrt(rtz2 * rtz1)
|
|---|
| 814 | endif
|
|---|
| 815 | 1000 enddo
|
|---|
| 816 | niter = iter-1
|
|---|
| 817 | c
|
|---|
| 818 | if (nio.eq.0) write (6,3001) istep, ' Error Hmholtz ' // name,
|
|---|
| 819 | & niter,rbn2,rbn0,tol
|
|---|
| 820 |
|
|---|
| 821 |
|
|---|
| 822 | 3000 format(i11,a,1x,I7,1p4E13.4)
|
|---|
| 823 | 3001 format(i11,a,1x,I7,1p4E13.4)
|
|---|
| 824 | 3002 format(i11,a,1x,I7,1p4E13.4,l4)
|
|---|
| 825 | 9999 continue
|
|---|
| 826 | niterhm = niter
|
|---|
| 827 | ifsolv = .false.
|
|---|
| 828 | c
|
|---|
| 829 | c
|
|---|
| 830 | c Call eigenvalue routine for Lanczos scheme:
|
|---|
| 831 | c two work arrays are req'd if you want to save "diag & upper"
|
|---|
| 832 | c
|
|---|
| 833 | c if (iter.ge.3) then
|
|---|
| 834 | c niter = iter-1
|
|---|
| 835 | c call calc (diagt,upper,w,z,krylov,dmax,dmin)
|
|---|
| 836 | c cond = dmax/dmin
|
|---|
| 837 | c if (nid.eq.0) write(6,6) istep,cond,dmin,dmax,' lambda'
|
|---|
| 838 | c endif
|
|---|
| 839 | c 6 format(i9,1p3e12.4,4x,a7)
|
|---|
| 840 | c
|
|---|
| 841 | c if (n.gt.0) write(6,*) 'quit in cggo'
|
|---|
| 842 | c if (n.gt.0) call exitt
|
|---|
| 843 | c call exitt
|
|---|
| 844 | return
|
|---|
| 845 | end
|
|---|
| 846 | c=======================================================================
|
|---|
| 847 | function vlsc32(r,b,m,n)
|
|---|
| 848 | real r(1),b(1),m(1)
|
|---|
| 849 | s = 0.
|
|---|
| 850 | do i=1,n
|
|---|
| 851 | s = s + b(i)*m(i)*r(i)*r(i)
|
|---|
| 852 | enddo
|
|---|
| 853 | vlsc32 = s
|
|---|
| 854 | return
|
|---|
| 855 | end
|
|---|
| 856 | c=======================================================================
|
|---|
| 857 | subroutine calc (diag,upper,d,e,n,dmax,dmin)
|
|---|
| 858 | c
|
|---|
| 859 | dimension diag(n),upper(n)
|
|---|
| 860 | dimension d(n),e(n)
|
|---|
| 861 | c
|
|---|
| 862 | call copy (d,diag ,n)
|
|---|
| 863 | call copy (e,upper,n)
|
|---|
| 864 | c
|
|---|
| 865 | do 15 l=1,n
|
|---|
| 866 | iter = 0
|
|---|
| 867 | c
|
|---|
| 868 | 1 do 12 m=l,n-1
|
|---|
| 869 | dd = abs( d(m) ) + abs( d(m+1) )
|
|---|
| 870 | if ( abs(e(m)) + dd .eq. dd ) goto 2
|
|---|
| 871 | 12 continue
|
|---|
| 872 | c
|
|---|
| 873 | m = n
|
|---|
| 874 | 2 if ( m .ne. l ) then
|
|---|
| 875 | c
|
|---|
| 876 | if ( iter .eq. 30 ) then
|
|---|
| 877 | write (6,*) 'too many iterations'
|
|---|
| 878 | return
|
|---|
| 879 | endif
|
|---|
| 880 | c
|
|---|
| 881 | iter = iter + 1
|
|---|
| 882 | g = ( d(l+1) - d(l) ) / ( 2.0 * e(l) )
|
|---|
| 883 | r = sqrt( g**2 + 1.0 )
|
|---|
| 884 | c
|
|---|
| 885 | c sign is defined as a(2) * abs( a(1) )
|
|---|
| 886 | c
|
|---|
| 887 | g = d(m) - d(l) + e(l)/(g+sign(r,g))
|
|---|
| 888 | s = 1.0
|
|---|
| 889 | c = 1.0
|
|---|
| 890 | p = 0.0
|
|---|
| 891 | c
|
|---|
| 892 | do 14 i = m-1,l,-1
|
|---|
| 893 | f = s * e(i)
|
|---|
| 894 | b = c * e(i)
|
|---|
| 895 | if ( abs(f) .ge. abs(g) ) then
|
|---|
| 896 | c = g/f
|
|---|
| 897 | r = sqrt( c**2 + 1.0 )
|
|---|
| 898 | e(i+1) = f*r
|
|---|
| 899 | s = 1.0/r
|
|---|
| 900 | c = c*s
|
|---|
| 901 | else
|
|---|
| 902 | s = f/g
|
|---|
| 903 | r = sqrt( s**2 + 1.0 )
|
|---|
| 904 | e(i+1) = g*r
|
|---|
| 905 | c = 1.0 / r
|
|---|
| 906 | s = s * c
|
|---|
| 907 | endif
|
|---|
| 908 | c
|
|---|
| 909 | g = d(i+1) - p
|
|---|
| 910 | r = ( d(i) - g ) * s + 2.0 * c * b
|
|---|
| 911 | p = s * r
|
|---|
| 912 | d(i+1) = g + p
|
|---|
| 913 | g = c*r - b
|
|---|
| 914 | 14 continue
|
|---|
| 915 | c
|
|---|
| 916 | d(l) = d(l) - p
|
|---|
| 917 | e(l) = g
|
|---|
| 918 | e(m) = 0.0
|
|---|
| 919 | goto 1
|
|---|
| 920 | c
|
|---|
| 921 | endif
|
|---|
| 922 | c
|
|---|
| 923 | 15 continue
|
|---|
| 924 | c
|
|---|
| 925 | dmax = 0.0
|
|---|
| 926 | dmin = d(1)
|
|---|
| 927 | c
|
|---|
| 928 | do 40 i = 1 , n
|
|---|
| 929 | dmax = abs( max( d(i) , dmax ) )
|
|---|
| 930 | dmin = abs( min( d(i) , dmin ) )
|
|---|
| 931 | 40 continue
|
|---|
| 932 | c
|
|---|
| 933 | return
|
|---|
| 934 | end
|
|---|
| 935 | c-----------------------------------------------------------------------
|
|---|
| 936 | subroutine fdm_h1(z,r,d,mask,mult,nel,kt,rr)
|
|---|
| 937 | include 'SIZE'
|
|---|
| 938 | include 'TOTAL'
|
|---|
| 939 | c
|
|---|
| 940 | common /ctmp0/ w(lx1,ly1,lz1)
|
|---|
| 941 | c
|
|---|
| 942 | include 'FDMH1'
|
|---|
| 943 | c
|
|---|
| 944 | c Overlapping Schwarz, FDM based
|
|---|
| 945 | c
|
|---|
| 946 | real z(lx1,ly1,lz1,1)
|
|---|
| 947 | real r(lx1,ly1,lz1,1)
|
|---|
| 948 | real d(lx1,ly1,lz1,1)
|
|---|
| 949 | real mask(lx1,ly1,lz1,1)
|
|---|
| 950 | real mult(lx1,ly1,lz1,1)
|
|---|
| 951 | real rr(lx1,ly1,lz1,1)
|
|---|
| 952 | c
|
|---|
| 953 | integer kt(lelt,3)
|
|---|
| 954 | c
|
|---|
| 955 | integer icalld
|
|---|
| 956 | save icalld
|
|---|
| 957 | data icalld /0/
|
|---|
| 958 | c
|
|---|
| 959 | n1 = lx1
|
|---|
| 960 | n2 = lx1*lx1
|
|---|
| 961 | n3 = lx1*lx1*lx1
|
|---|
| 962 | ntot = lx1*ly1*lz1*nel
|
|---|
| 963 | c
|
|---|
| 964 | if (ifbhalf) then
|
|---|
| 965 | call col3(rr,r,bhalf,ntot)
|
|---|
| 966 | else
|
|---|
| 967 | call copy(rr,r,ntot)
|
|---|
| 968 | c call col2(rr,mult,ntot)
|
|---|
| 969 | endif
|
|---|
| 970 | c if (nid.eq.0.and.icalld.eq.0) write(6,*) 'In fdm_h1',nel
|
|---|
| 971 | icalld = icalld+1
|
|---|
| 972 | c
|
|---|
| 973 | c
|
|---|
| 974 | do ie=1,nel
|
|---|
| 975 | if (if3d) then
|
|---|
| 976 | c Transfer to wave space:
|
|---|
| 977 | call mxm(fdst(1,kt(ie,1)),n1,rr(1,1,1,ie),n1,w,n2)
|
|---|
| 978 | do iz=1,n1
|
|---|
| 979 | call mxm(w(1,1,iz),n1,fds (1,kt(ie,2)),n1,z(1,1,iz,ie),n1)
|
|---|
| 980 | enddo
|
|---|
| 981 | call mxm(z(1,1,1,ie),n2,fds (1,kt(ie,3)),n1,w,n1)
|
|---|
| 982 | c
|
|---|
| 983 | c fdsolve:
|
|---|
| 984 | c
|
|---|
| 985 | call col2(w,d(1,1,1,ie),n3)
|
|---|
| 986 | c
|
|---|
| 987 | c Transfer to physical space:
|
|---|
| 988 | c
|
|---|
| 989 | call mxm(w,n2,fdst(1,kt(ie,3)),n1,z(1,1,1,ie),n1)
|
|---|
| 990 | do iz=1,n1
|
|---|
| 991 | call mxm(z(1,1,iz,ie),n1,fdst(1,kt(ie,2)),n1,w(1,1,iz),n1)
|
|---|
| 992 | enddo
|
|---|
| 993 | call mxm(fds (1,kt(ie,1)),n1,w,n1,z(1,1,1,ie),n2)
|
|---|
| 994 | c
|
|---|
| 995 | else
|
|---|
| 996 | c Transfer to wave space:
|
|---|
| 997 | call mxm(fdst(1,kt(ie,1)),n1,rr(1,1,1,ie),n1,w,n1)
|
|---|
| 998 | call mxm(w,n1,fds (1,kt(ie,2)),n1,z(1,1,1,ie),n1)
|
|---|
| 999 | c
|
|---|
| 1000 | c fdsolve:
|
|---|
| 1001 | c
|
|---|
| 1002 | call col2(z(1,1,1,ie),d(1,1,1,ie),n2)
|
|---|
| 1003 | c
|
|---|
| 1004 | c Transfer to physical space:
|
|---|
| 1005 | c
|
|---|
| 1006 | call mxm(z(1,1,1,ie),n1,fdst(1,kt(ie,2)),n1,w,n1)
|
|---|
| 1007 | call mxm(fds (1,kt(ie,1)),n1,w,n1,z(1,1,1,ie),n1)
|
|---|
| 1008 | c
|
|---|
| 1009 | endif
|
|---|
| 1010 | enddo
|
|---|
| 1011 | c
|
|---|
| 1012 | c call copy(vx,rr,ntot)
|
|---|
| 1013 | c call copy(vy,z,ntot)
|
|---|
| 1014 | c call prepost(.true.)
|
|---|
| 1015 | c write(6,*) 'quit in fdm'
|
|---|
| 1016 | c call exitt
|
|---|
| 1017 | c
|
|---|
| 1018 | if (ifbhalf) call col2(z,bhalf,ntot)
|
|---|
| 1019 | c
|
|---|
| 1020 | c call col2 (z,mult,ntot)
|
|---|
| 1021 | call dssum(z,lx1,ly1,lz1)
|
|---|
| 1022 | call col2 (z,mask,ntot)
|
|---|
| 1023 | c
|
|---|
| 1024 | return
|
|---|
| 1025 | end
|
|---|
| 1026 | c-----------------------------------------------------------------------
|
|---|
| 1027 | subroutine set_fdm_prec_h1A_gen
|
|---|
| 1028 | c
|
|---|
| 1029 | include 'SIZE'
|
|---|
| 1030 | include 'DXYZ'
|
|---|
| 1031 | include 'INPUT'
|
|---|
| 1032 | include 'MASS'
|
|---|
| 1033 | include 'WZ'
|
|---|
| 1034 | c
|
|---|
| 1035 | include 'FDMH1'
|
|---|
| 1036 | c
|
|---|
| 1037 | COMMON /CTMP0/ W(LX1,LX1),aa(lx1,lx1),bb(lx1,lx1)
|
|---|
| 1038 | c
|
|---|
| 1039 | integer left,right
|
|---|
| 1040 | c
|
|---|
| 1041 | c Set up generic operators for fdm applied to H1 operator (Helmholtz)
|
|---|
| 1042 | c
|
|---|
| 1043 | c 3 cases: E (or P), "D" or "N" for E-E bc, Dirichlet, or Neuamann.
|
|---|
| 1044 | c
|
|---|
| 1045 | c Since there are 2 endpoints, there are a total of 9 types.
|
|---|
| 1046 | c
|
|---|
| 1047 | c
|
|---|
| 1048 | n = lx1
|
|---|
| 1049 | n2 = lx1*lx1
|
|---|
| 1050 | c
|
|---|
| 1051 | delta = abs( zgm1(2,1) - zgm1(1,1) )
|
|---|
| 1052 | bbh = 0.5*delta
|
|---|
| 1053 | aah = 1./delta
|
|---|
| 1054 | c
|
|---|
| 1055 | l = 0
|
|---|
| 1056 | do right = 1,3
|
|---|
| 1057 | do left = 1,3
|
|---|
| 1058 | l = l+1
|
|---|
| 1059 | c
|
|---|
| 1060 | call rzero(bb,n2)
|
|---|
| 1061 | do i=1,lx1
|
|---|
| 1062 | bb(i,i) = wxm1(i)
|
|---|
| 1063 | enddo
|
|---|
| 1064 | c
|
|---|
| 1065 | c A = D^T B D
|
|---|
| 1066 | c
|
|---|
| 1067 | call mxm(BB,n,Dxm1 ,n,w,n)
|
|---|
| 1068 | call mxm(Dxtm1,n,w,n,AA,n)
|
|---|
| 1069 | if (left.eq.1) then
|
|---|
| 1070 | c Internal
|
|---|
| 1071 | bb(1,1) = bb(1,1) + bbh
|
|---|
| 1072 | aa(1,1) = aa(1,1) + aah
|
|---|
| 1073 | elseif (left.eq.2) then
|
|---|
| 1074 | c Dirichlet
|
|---|
| 1075 | bb(1,1) = 1.
|
|---|
| 1076 | do i=1,n
|
|---|
| 1077 | aa(i,1) = 0.
|
|---|
| 1078 | aa(1,i) = 0.
|
|---|
| 1079 | enddo
|
|---|
| 1080 | aa(1,1) = 1.
|
|---|
| 1081 | endif
|
|---|
| 1082 | c
|
|---|
| 1083 | if (right.eq.1) then
|
|---|
| 1084 | c Internal
|
|---|
| 1085 | bb(n,n) = bb(n,n) + bbh
|
|---|
| 1086 | aa(n,n) = aa(n,n) + aah
|
|---|
| 1087 | elseif (right.eq.2) then
|
|---|
| 1088 | c Dirichlet
|
|---|
| 1089 | bb(n,n) = 1.
|
|---|
| 1090 | do i=1,n
|
|---|
| 1091 | aa(i,n) = 0.
|
|---|
| 1092 | aa(n,i) = 0.
|
|---|
| 1093 | enddo
|
|---|
| 1094 | aa(n,n) = 1.
|
|---|
| 1095 | endif
|
|---|
| 1096 | c
|
|---|
| 1097 | c Scale out mass matrix, so we can precondition w/ binvhf.
|
|---|
| 1098 | c
|
|---|
| 1099 | c ifbhalf = .true.
|
|---|
| 1100 |
|
|---|
| 1101 | ifbhalf = .false.
|
|---|
| 1102 | if (ifbhalf) call rescale_abhalf (aa,bb,w,n)
|
|---|
| 1103 | c
|
|---|
| 1104 | c Now, compute eigenvectors/eigenvalues
|
|---|
| 1105 | c
|
|---|
| 1106 | call generalev(aa,bb,dd(1,l),n,w)
|
|---|
| 1107 | call copy(fds(1,l),aa,n*n)
|
|---|
| 1108 | call transpose(fdst(1,l),n,fds(1,l),n)
|
|---|
| 1109 | c
|
|---|
| 1110 | enddo
|
|---|
| 1111 | enddo
|
|---|
| 1112 | ntot = lx1*ly1*lz1*nelv
|
|---|
| 1113 | if (ifbhalf) call copy (bhalf,binvm1,ntot)
|
|---|
| 1114 | if (ifbhalf) call vsqrt(bhalf,ntot)
|
|---|
| 1115 | c
|
|---|
| 1116 | return
|
|---|
| 1117 | end
|
|---|
| 1118 | c-----------------------------------------------------------------------
|
|---|
| 1119 | subroutine set_fdm_prec_h1A_els
|
|---|
| 1120 | c
|
|---|
| 1121 | include 'SIZE'
|
|---|
| 1122 | include 'DXYZ'
|
|---|
| 1123 | include 'FDMH1'
|
|---|
| 1124 | include 'GEOM'
|
|---|
| 1125 | include 'INPUT'
|
|---|
| 1126 | include 'SOLN'
|
|---|
| 1127 | include 'TOPOL'
|
|---|
| 1128 | include 'WZ'
|
|---|
| 1129 | c
|
|---|
| 1130 | COMMON /CTMP0/ W(LX1,LX1),aa(lx1,lx1),bb(lx1,lx1)
|
|---|
| 1131 | $ , mask(lx1,ly1,lz1,lelt)
|
|---|
| 1132 | real mask
|
|---|
| 1133 | character*3 cb
|
|---|
| 1134 | c
|
|---|
| 1135 | c
|
|---|
| 1136 | c Set up element specific information
|
|---|
| 1137 | c
|
|---|
| 1138 | c 3 cases: E (or P), "D" or "N" for E-E bc, Dirichlet, or Neuamann.
|
|---|
| 1139 | c
|
|---|
| 1140 | c Since there are 2 endpoints, there are a total of 9 types.
|
|---|
| 1141 | c
|
|---|
| 1142 | c
|
|---|
| 1143 | ntot = lx1*ly1*lz1*nelt
|
|---|
| 1144 | kf0 = 1
|
|---|
| 1145 | kf1 = 0
|
|---|
| 1146 | if (ifheat) kf0 = 0
|
|---|
| 1147 | if (ifflow) kf1 = ldim
|
|---|
| 1148 | if (ifsplit) kf1 = ldim+1
|
|---|
| 1149 | do kfld=kf0,kf1
|
|---|
| 1150 | ifld = 1
|
|---|
| 1151 | if (kfld.eq.0) ifld = 2
|
|---|
| 1152 | c
|
|---|
| 1153 | if (kfld.eq.0) call copy(mask, tmask,ntot)
|
|---|
| 1154 | if (kfld.eq.1) call copy(mask,v1mask,ntot)
|
|---|
| 1155 | if (kfld.eq.2) call copy(mask,v2mask,ntot)
|
|---|
| 1156 | if (kfld.eq.3) call copy(mask,v3mask,ntot)
|
|---|
| 1157 | if (kfld.eq.ldim+1) call copy(mask, pmask,ntot)
|
|---|
| 1158 | c
|
|---|
| 1159 | do ie=1,nelv
|
|---|
| 1160 | do ifacedim = 1,ldim
|
|---|
| 1161 | c
|
|---|
| 1162 | c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
|
|---|
| 1163 | c Mask pointers
|
|---|
| 1164 | c
|
|---|
| 1165 | ii = 2
|
|---|
| 1166 | jj = 2
|
|---|
| 1167 | kk = 2
|
|---|
| 1168 | c
|
|---|
| 1169 | if (ifacedim.eq.1) ii = 1
|
|---|
| 1170 | if (ifacedim.eq.2) jj = 1
|
|---|
| 1171 | if (ifacedim.eq.3) kk = 1
|
|---|
| 1172 | k1 = ii+lx1*(jj-1)
|
|---|
| 1173 | if (if3d) k1 = ii+lx1*(jj-1) + lx1*lx1*(kk-1)
|
|---|
| 1174 | c
|
|---|
| 1175 | if (ifacedim.eq.1) ii = lx1
|
|---|
| 1176 | if (ifacedim.eq.2) jj = lx1
|
|---|
| 1177 | if (ifacedim.eq.3) kk = lx1
|
|---|
| 1178 | k2 = ii+lx1*(jj-1)
|
|---|
| 1179 | if (if3d) k2 = ii+lx1*(jj-1) + lx1*lx1*(kk-1)
|
|---|
| 1180 | c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
|
|---|
| 1181 | c
|
|---|
| 1182 | iface = 2*ifacedim-1
|
|---|
| 1183 | jface = iface+1
|
|---|
| 1184 | c
|
|---|
| 1185 | c Convert to preproc :(
|
|---|
| 1186 | iface = eface(iface)
|
|---|
| 1187 | jface = eface(jface)
|
|---|
| 1188 | c
|
|---|
| 1189 | c "left" bc
|
|---|
| 1190 | c
|
|---|
| 1191 | cb = cbc(iface,ie,ifld)
|
|---|
| 1192 | if (cb.eq.'E '.or.cb.eq.'P '.or.cb.eq.'p ') then
|
|---|
| 1193 | c Internal
|
|---|
| 1194 | ic1 = 1
|
|---|
| 1195 | elseif (mask(k1,1,1,ie).eq.0) then
|
|---|
| 1196 | c Dirichlet
|
|---|
| 1197 | ic1 = 2
|
|---|
| 1198 | else
|
|---|
| 1199 | c Neumann
|
|---|
| 1200 | ic1 = 3
|
|---|
| 1201 | endif
|
|---|
| 1202 | c write(6,*) ie,iface,'cbl: ',cb,ic1,k1,mask(k1,1,1,ie)
|
|---|
| 1203 | c
|
|---|
| 1204 | c "right" bc
|
|---|
| 1205 | c
|
|---|
| 1206 | cb = cbc(jface,ie,ifld)
|
|---|
| 1207 | if (cb.eq.'E '.or.cb.eq.'P '.or.cb.eq.'p ') then
|
|---|
| 1208 | c Internal
|
|---|
| 1209 | jc1 = 1
|
|---|
| 1210 | elseif (mask(k2,1,1,ie).eq.0) then
|
|---|
| 1211 | c Dirichlet
|
|---|
| 1212 | jc1 = 2
|
|---|
| 1213 | else
|
|---|
| 1214 | c Neumann
|
|---|
| 1215 | jc1 = 3
|
|---|
| 1216 | endif
|
|---|
| 1217 | c write(6,*) ie,jface,'cbr: ',cb,jc1,k2,mask(k2,1,1,ie)
|
|---|
| 1218 | c
|
|---|
| 1219 | ijc = ic1 + 3*(jc1-1)
|
|---|
| 1220 | ktype(ie,ifacedim,kfld) = ijc
|
|---|
| 1221 | c
|
|---|
| 1222 | enddo
|
|---|
| 1223 | enddo
|
|---|
| 1224 | enddo
|
|---|
| 1225 | c
|
|---|
| 1226 | c Boundary condition issues resolved... now resolve length scales
|
|---|
| 1227 | c
|
|---|
| 1228 | c
|
|---|
| 1229 | c
|
|---|
| 1230 | do ie = 1,nelt
|
|---|
| 1231 | do idim=1,ldim
|
|---|
| 1232 | k1 = 1
|
|---|
| 1233 | k2 = lz1
|
|---|
| 1234 | if (idim.eq.3.or.ldim.eq.2) k2=1
|
|---|
| 1235 | j1 = 1
|
|---|
| 1236 | j2 = ly1
|
|---|
| 1237 | if (idim.eq.2) j2=1
|
|---|
| 1238 | i1 = 1
|
|---|
| 1239 | i2 = lx1
|
|---|
| 1240 | if (idim.eq.1) i2=1
|
|---|
| 1241 | c
|
|---|
| 1242 | c l -- face 1, l+jump = face 2
|
|---|
| 1243 | c
|
|---|
| 1244 | jump = (lx1-1)*lx1**(idim-1)
|
|---|
| 1245 | l = 0
|
|---|
| 1246 | dlm = 0
|
|---|
| 1247 | wgt = 0
|
|---|
| 1248 | do k=k1,k2
|
|---|
| 1249 | do j=j1,j2
|
|---|
| 1250 | do i=i1,i2
|
|---|
| 1251 | l = l+1
|
|---|
| 1252 | dl2 = (xm1(i+jump,j,k,ie)-xm1(i,j,k,ie))**2
|
|---|
| 1253 | $ + (ym1(i+jump,j,k,ie)-ym1(i,j,k,ie))**2
|
|---|
| 1254 | $ + (zm1(i+jump,j,k,ie)-zm1(i,j,k,ie))**2
|
|---|
| 1255 | dlm = dlm + dl2*wxm1(i)*wxm1(j)*wxm1(k)
|
|---|
| 1256 | wgt = wgt + wxm1(i)*wxm1(j)*wxm1(k)
|
|---|
| 1257 | c
|
|---|
| 1258 | enddo
|
|---|
| 1259 | enddo
|
|---|
| 1260 | enddo
|
|---|
| 1261 | c
|
|---|
| 1262 | dlm = sqrt(dlm/wgt)
|
|---|
| 1263 | elsize(idim,ie) = dlm/2.
|
|---|
| 1264 | c
|
|---|
| 1265 | enddo
|
|---|
| 1266 | c write(6,1) ie,' elsize:',(elsize(k,ie),k=1,ldim)
|
|---|
| 1267 | enddo
|
|---|
| 1268 | 1 format(i8,a8,1p3e15.4)
|
|---|
| 1269 | c
|
|---|
| 1270 | return
|
|---|
| 1271 | end
|
|---|
| 1272 | c-----------------------------------------------------------------------
|
|---|
| 1273 | subroutine set_fdm_prec_h1b(d,h1,h2,nel)
|
|---|
| 1274 | include 'SIZE'
|
|---|
| 1275 | include 'FDMH1'
|
|---|
| 1276 | include 'INPUT'
|
|---|
| 1277 | include 'GEOM'
|
|---|
| 1278 | real d (lx1,ly1,lz1,1)
|
|---|
| 1279 | real h1(lx1,ly1,lz1,1)
|
|---|
| 1280 | real h2(lx1,ly1,lz1,1)
|
|---|
| 1281 | c
|
|---|
| 1282 | c Set up diagonal for FDM for each spectral element
|
|---|
| 1283 | c
|
|---|
| 1284 | nxyz = lx1*ly1*lz1
|
|---|
| 1285 | if (if3d) then
|
|---|
| 1286 | do ie=1,nel
|
|---|
| 1287 | h1b = vlsum(h1(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1288 | h2b = vlsum(h2(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1289 | k1 = ktype(ie,1,kfldfdm)
|
|---|
| 1290 | k2 = ktype(ie,2,kfldfdm)
|
|---|
| 1291 | k3 = ktype(ie,3,kfldfdm)
|
|---|
| 1292 | vol = elsize(1,ie)*elsize(2,ie)*elsize(3,ie)
|
|---|
| 1293 | vl1 = elsize(2,ie)*elsize(3,ie)/elsize(1,ie)
|
|---|
| 1294 | vl2 = elsize(1,ie)*elsize(3,ie)/elsize(2,ie)
|
|---|
| 1295 | vl3 = elsize(1,ie)*elsize(2,ie)/elsize(3,ie)
|
|---|
| 1296 | do i3=1,lz1
|
|---|
| 1297 | do i2=1,ly1
|
|---|
| 1298 | do i1=1,lx1
|
|---|
| 1299 | den = h1b*(vl1*dd(i1,k1) + vl2*dd(i2,k2) + vl3*dd(i3,k3))
|
|---|
| 1300 | $ + h2b*vol
|
|---|
| 1301 | if (ifbhalf) den = den/vol
|
|---|
| 1302 | if (den.ne.0) then
|
|---|
| 1303 | d(i1,i2,i3,ie) = 1./den
|
|---|
| 1304 | else
|
|---|
| 1305 | d(i1,i2,i3,ie) = 0.
|
|---|
| 1306 | c
|
|---|
| 1307 | c write(6,3) 'd=0:'
|
|---|
| 1308 | c $ ,h1(i1,i2,i3,ie),dd(i1,k1),dd(i2,k2),dd(i3,k3)
|
|---|
| 1309 | c $ ,i1,i2,i3,ie,kfldfdm,k1,k2,k3
|
|---|
| 1310 | 3 format(a4,1p4e12.4,8i8)
|
|---|
| 1311 | c
|
|---|
| 1312 | endif
|
|---|
| 1313 | enddo
|
|---|
| 1314 | enddo
|
|---|
| 1315 | enddo
|
|---|
| 1316 | enddo
|
|---|
| 1317 | else
|
|---|
| 1318 | do ie=1,nel
|
|---|
| 1319 | if (ifaxis) then
|
|---|
| 1320 | h1b = vlsc2(h1(1,1,1,ie),ym1(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1321 | h2b = vlsc2(h2(1,1,1,ie),ym1(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1322 | else
|
|---|
| 1323 | h1b = vlsum(h1(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1324 | h2b = vlsum(h2(1,1,1,ie),nxyz)/nxyz
|
|---|
| 1325 | endif
|
|---|
| 1326 | k1 = ktype(ie,1,kfldfdm)
|
|---|
| 1327 | k2 = ktype(ie,2,kfldfdm)
|
|---|
| 1328 | vol = elsize(1,ie)*elsize(2,ie)
|
|---|
| 1329 | vl1 = elsize(2,ie)/elsize(1,ie)
|
|---|
| 1330 | vl2 = elsize(1,ie)/elsize(2,ie)
|
|---|
| 1331 | i3=1
|
|---|
| 1332 | do i2=1,ly1
|
|---|
| 1333 | do i1=1,lx1
|
|---|
| 1334 | den = h1b*( vl1*dd(i1,k1) + vl2*dd(i2,k2) )
|
|---|
| 1335 | $ + h2b*vol
|
|---|
| 1336 | if (ifbhalf) den = den/vol
|
|---|
| 1337 | if (den.ne.0) then
|
|---|
| 1338 | d(i1,i2,i3,ie) = 1./den
|
|---|
| 1339 | c write(6,3) 'dn0:'
|
|---|
| 1340 | c $ ,d(i1,i2,i3,ie),dd(i1,k1),dd(i2,k2)
|
|---|
| 1341 | c $ ,i1,i2,i3,ie,kfldfdm,k1,k2
|
|---|
| 1342 | else
|
|---|
| 1343 | d(i1,i2,i3,ie) = 0.
|
|---|
| 1344 | c write(6,3) 'd=0:'
|
|---|
| 1345 | c $ ,h1(i1,i2,i3,ie),dd(i1,k1),dd(i2,k2)
|
|---|
| 1346 | c $ ,i1,i2,i3,ie,kfldfdm,k1,k2
|
|---|
| 1347 | 2 format(a4,1p3e12.4,8i8)
|
|---|
| 1348 | endif
|
|---|
| 1349 | c write(6,1) ie,i1,i2,k1,k2,'d:',d(i1,i2,i3,ie),vol,vl1,vl2
|
|---|
| 1350 | c 1 format(5i3,2x,a2,1p4e12.4)
|
|---|
| 1351 | enddo
|
|---|
| 1352 | enddo
|
|---|
| 1353 | enddo
|
|---|
| 1354 | endif
|
|---|
| 1355 | c
|
|---|
| 1356 | return
|
|---|
| 1357 | end
|
|---|
| 1358 | c-----------------------------------------------------------------------
|
|---|
| 1359 | subroutine set_fdm_prec_h1A
|
|---|
| 1360 | include 'SIZE'
|
|---|
| 1361 | c
|
|---|
| 1362 | call set_fdm_prec_h1A_gen
|
|---|
| 1363 | call set_fdm_prec_h1A_els
|
|---|
| 1364 | c
|
|---|
| 1365 | return
|
|---|
| 1366 | end
|
|---|
| 1367 | c-----------------------------------------------------------------------
|
|---|
| 1368 | subroutine generalev(a,b,lam,n,w)
|
|---|
| 1369 | c
|
|---|
| 1370 | c Solve the generalized eigenvalue problem A x = lam B x
|
|---|
| 1371 | c
|
|---|
| 1372 | c A -- symm.
|
|---|
| 1373 | c B -- symm., pos. definite
|
|---|
| 1374 | c
|
|---|
| 1375 | c "SIZE" is included here only to deduce WDSIZE, the working
|
|---|
| 1376 | c precision, in bytes, so as to know whether dsygv or ssygv
|
|---|
| 1377 | c should be called.
|
|---|
| 1378 | c
|
|---|
| 1379 | include 'SIZE'
|
|---|
| 1380 | include 'PARALLEL'
|
|---|
| 1381 | c
|
|---|
| 1382 | real a(n,n),b(n,n),lam(n),w(n,n)
|
|---|
| 1383 | real aa(100),bb(100)
|
|---|
| 1384 | c
|
|---|
| 1385 | parameter (lbw=4*lx1*ly1*lz1*lelv)
|
|---|
| 1386 | common /bigw/ bw(lbw)
|
|---|
| 1387 | c
|
|---|
| 1388 | lw = n*n
|
|---|
| 1389 | c write(6,*) 'in generalev, =',info,n,ninf
|
|---|
| 1390 | c
|
|---|
| 1391 | c call outmat2(a,n,n,n,'aa ')
|
|---|
| 1392 | c call outmat2(b,n,n,n,'bb ')
|
|---|
| 1393 | c
|
|---|
| 1394 | call copy(aa,a,100)
|
|---|
| 1395 | call copy(bb,b,100)
|
|---|
| 1396 | c
|
|---|
| 1397 | call dsygv(1,'V','U',n,a,n,b,n,lam,bw,lbw,info)
|
|---|
| 1398 | c
|
|---|
| 1399 | c call outmat2(a,n,n,n,'Aeig')
|
|---|
| 1400 | c call outmat2(lam,1,n,n,'Deig')
|
|---|
| 1401 | c
|
|---|
| 1402 | if (info.ne.0) then
|
|---|
| 1403 | c
|
|---|
| 1404 | if (nid.eq.0) then
|
|---|
| 1405 | call outmat2(aa ,n,n,n,'aa ')
|
|---|
| 1406 | call outmat2(bb ,n,n,n,'bb ')
|
|---|
| 1407 | call outmat2(a ,n,n,n,'Aeig')
|
|---|
| 1408 | call outmat2(lam,1,n,n,'Deig')
|
|---|
| 1409 | endif
|
|---|
| 1410 | c
|
|---|
| 1411 | ninf = n-info
|
|---|
| 1412 | write(6,*) 'Error in generalev, info=',info,n,ninf
|
|---|
| 1413 | call exitt
|
|---|
| 1414 | endif
|
|---|
| 1415 | c
|
|---|
| 1416 | return
|
|---|
| 1417 | end
|
|---|
| 1418 | c-----------------------------------------------------------------------
|
|---|
| 1419 | subroutine outmat2(a,m,n,k,name)
|
|---|
| 1420 | include 'SIZE'
|
|---|
| 1421 | real a(m,n)
|
|---|
| 1422 | character*4 name
|
|---|
| 1423 | c
|
|---|
| 1424 | n2 = min(n,8)
|
|---|
| 1425 | write(6,2) nid,name,m,n,k
|
|---|
| 1426 | do i=1,m
|
|---|
| 1427 | write(6,1) nid,name,(a(i,j),j=1,n2)
|
|---|
| 1428 | enddo
|
|---|
| 1429 | c 1 format(i3,1x,a4,16f6.2)
|
|---|
| 1430 | 1 format(i3,1x,a4,1p8e14.5)
|
|---|
| 1431 | 2 format(/,'Matrix: ',i3,1x,a4,3i8)
|
|---|
| 1432 | return
|
|---|
| 1433 | end
|
|---|
| 1434 | c-----------------------------------------------------------------------
|
|---|
| 1435 | subroutine rescale_abhalf (a,b,w,n)
|
|---|
| 1436 | real a(n,n),b(n,n),w(n)
|
|---|
| 1437 | c
|
|---|
| 1438 | c -1/2 -1/2
|
|---|
| 1439 | c Set A = B A B
|
|---|
| 1440 | c
|
|---|
| 1441 | c
|
|---|
| 1442 | c NOTE: B is *diagonal*
|
|---|
| 1443 | c
|
|---|
| 1444 | c
|
|---|
| 1445 | do i=1,n
|
|---|
| 1446 | w(i) = 1./sqrt(b(i,i))
|
|---|
| 1447 | enddo
|
|---|
| 1448 | c
|
|---|
| 1449 | do j=1,n
|
|---|
| 1450 | do i=1,n
|
|---|
| 1451 | a(i,j) = a(i,j)*w(i)*w(j)
|
|---|
| 1452 | enddo
|
|---|
| 1453 | enddo
|
|---|
| 1454 | c
|
|---|
| 1455 | c duh.... don't forget to change B ... duh...
|
|---|
| 1456 | c
|
|---|
| 1457 | call ident(b,n)
|
|---|
| 1458 | c
|
|---|
| 1459 | return
|
|---|
| 1460 | end
|
|---|
| 1461 | c-----------------------------------------------------------------------
|
|---|
| 1462 | subroutine hmholtz_dg(name,u,rhs,h1,h2,mask,tol,maxit)
|
|---|
| 1463 | include 'SIZE'
|
|---|
| 1464 | include 'CTIMER'
|
|---|
| 1465 | include 'INPUT'
|
|---|
| 1466 | include 'MASS'
|
|---|
| 1467 | include 'SOLN'
|
|---|
| 1468 | include 'TSTEP'
|
|---|
| 1469 | C
|
|---|
| 1470 | character name*4
|
|---|
| 1471 | real u (lx1,ly1,lz1,1)
|
|---|
| 1472 | real rhs (lx1,ly1,lz1,1)
|
|---|
| 1473 | real h1 (lx1,ly1,lz1,1)
|
|---|
| 1474 | real h2 (lx1,ly1,lz1,1)
|
|---|
| 1475 | real mask (lx1,ly1,lz1,1)
|
|---|
| 1476 |
|
|---|
| 1477 | icalld=icalld+1
|
|---|
| 1478 | nhmhz=icalld
|
|---|
| 1479 | etime1=dnekclock()
|
|---|
| 1480 |
|
|---|
| 1481 | if (ifield.eq.2) then
|
|---|
| 1482 | call cggo_dg (u,rhs,h1,h2,bintm1,mask,name,tol,maxit)
|
|---|
| 1483 | else
|
|---|
| 1484 | call cggo_dg (u,rhs,h1,h2,binvm1,mask,name,tol,maxit)
|
|---|
| 1485 | endif
|
|---|
| 1486 |
|
|---|
| 1487 | thmhz=thmhz+(dnekclock()-etime1)
|
|---|
| 1488 |
|
|---|
| 1489 | return
|
|---|
| 1490 | end
|
|---|
| 1491 | C
|
|---|
| 1492 | c=======================================================================
|
|---|
| 1493 | subroutine cggo_dg(x,f,h1,h2,binv,mask,name,tin,maxit)
|
|---|
| 1494 | C-------------------------------------------------------------------------
|
|---|
| 1495 | C
|
|---|
| 1496 | C Solve the Helmholtz equation, H*U = RHS,
|
|---|
| 1497 | C using preconditioned conjugate gradient iteration.
|
|---|
| 1498 | C Preconditioner: diag(H).
|
|---|
| 1499 | C
|
|---|
| 1500 | C------------------------------------------------------------------------
|
|---|
| 1501 | include 'SIZE'
|
|---|
| 1502 | include 'TOTAL'
|
|---|
| 1503 |
|
|---|
| 1504 |
|
|---|
| 1505 | real x(1),f(1),h1(1),h2(1),binv(1),mask(1)
|
|---|
| 1506 | parameter (lg=lx1*ly1*lz1*lelt)
|
|---|
| 1507 | common /scrcg/ d (lg) , scalar(2)
|
|---|
| 1508 | common /scrmg/ r (lg) , w (lg) , p (lg) , z (lg)
|
|---|
| 1509 |
|
|---|
| 1510 | parameter (maxcg=900)
|
|---|
| 1511 | common /tdarray/ diagt(maxcg),upper(maxcg)
|
|---|
| 1512 | common /iterhm/ niterhm
|
|---|
| 1513 | character*4 name
|
|---|
| 1514 |
|
|---|
| 1515 | common /fastmd/ ifdfrm(lelt), iffast(lelt), ifh2, ifsolv
|
|---|
| 1516 | logical ifdfrm, iffast, ifh2, ifsolv
|
|---|
| 1517 |
|
|---|
| 1518 | common /cprint/ ifprint, ifhzpc
|
|---|
| 1519 | logical ifprint, ifhzpc
|
|---|
| 1520 |
|
|---|
| 1521 | logical ifmcor
|
|---|
| 1522 |
|
|---|
| 1523 |
|
|---|
| 1524 | c ** zero out stuff for Lanczos eigenvalue estimator
|
|---|
| 1525 | call rzero(diagt,maxcg)
|
|---|
| 1526 | call rzero(upper,maxcg)
|
|---|
| 1527 |
|
|---|
| 1528 | c Initialization
|
|---|
| 1529 |
|
|---|
| 1530 | nxyz = lx1*ly1*lz1
|
|---|
| 1531 | nel = nelv
|
|---|
| 1532 | vol = volvm1
|
|---|
| 1533 | if (ifield.eq.2) nel=nelt
|
|---|
| 1534 | if (ifield.eq.2) vol=voltm1
|
|---|
| 1535 | n = nel*nxyz
|
|---|
| 1536 |
|
|---|
| 1537 | tol=tin
|
|---|
| 1538 | if (param(22).ne.0) tol=abs(param(22))
|
|---|
| 1539 | niter = min(maxit,maxcg)
|
|---|
| 1540 |
|
|---|
| 1541 | imsh = ifield
|
|---|
| 1542 | call setprec_dg(d,h1,h2,imsh,1) ! diag preconditioner
|
|---|
| 1543 | c call invers2 (d,bm1,n) ! diag preconditioner
|
|---|
| 1544 |
|
|---|
| 1545 | call copy (r,f,n)
|
|---|
| 1546 | call rzero(x,n)
|
|---|
| 1547 | call rzero(p,n)
|
|---|
| 1548 |
|
|---|
| 1549 | c Check for non-trivial null-space
|
|---|
| 1550 |
|
|---|
| 1551 | ifmcor = .false.
|
|---|
| 1552 | h2max = glmax(h2 ,n)
|
|---|
| 1553 | skmin = glmin(mask,n)
|
|---|
| 1554 | if (skmin.gt.0.and.h2max.eq.0) ifmcor = .true.
|
|---|
| 1555 |
|
|---|
| 1556 | if (ifmcor) then
|
|---|
| 1557 | rmean = glsum(r,n)
|
|---|
| 1558 | call cadd(r,rmean,n)
|
|---|
| 1559 | endif
|
|---|
| 1560 |
|
|---|
| 1561 | krylov = 0
|
|---|
| 1562 | rtz1=1.0
|
|---|
| 1563 | niterhm = 0
|
|---|
| 1564 | do 1000 iter=1,niter
|
|---|
| 1565 |
|
|---|
| 1566 | c call copy(z,r,n) ! No preconditioner
|
|---|
| 1567 | call col3(z,r,d,n) ! Jacobi Preconditioner
|
|---|
| 1568 |
|
|---|
| 1569 | rtz2=rtz1
|
|---|
| 1570 | scalar(1)=vlsc2 (z,r,n)
|
|---|
| 1571 | scalar(2)=vlsc3 (r,r,binv,n)
|
|---|
| 1572 | call gop(scalar,w,'+ ',2)
|
|---|
| 1573 | rtz1=scalar(1)
|
|---|
| 1574 | rbn2=sqrt(scalar(2)/vol)
|
|---|
| 1575 | if (iter.eq.1) rbn0 = rbn2
|
|---|
| 1576 | if (param(22).lt.0) tol=abs(param(22))*rbn0
|
|---|
| 1577 |
|
|---|
| 1578 | if (ifprint.and.nid.eq.0.and.param(74).ne.0) then
|
|---|
| 1579 | write(6,3002) istep,iter,name,ifmcor,rbn2,TOL,h1(1),h2(1)
|
|---|
| 1580 | endif
|
|---|
| 1581 |
|
|---|
| 1582 | if (rbn2.le.tol) then
|
|---|
| 1583 | niter = iter-1
|
|---|
| 1584 | if(nid.eq.0.and.((.not.ifhzpc).or.ifprint))
|
|---|
| 1585 | $ write(6,3000) ISTEP,NAME,niter,RBN2,RBN0,tol
|
|---|
| 1586 | go to 9999
|
|---|
| 1587 | endif
|
|---|
| 1588 |
|
|---|
| 1589 | beta = rtz1/rtz2
|
|---|
| 1590 | if (iter.eq.1) beta=0.0
|
|---|
| 1591 | call add2s1 (p,z,beta,n)
|
|---|
| 1592 | call hxdg (w,p,h1,h2)
|
|---|
| 1593 |
|
|---|
| 1594 | rho0 = rho
|
|---|
| 1595 | rho = glsc2(w,p,n)
|
|---|
| 1596 | alpha=rtz1/rho
|
|---|
| 1597 | alphm=-alpha
|
|---|
| 1598 | call add2s2(x,p ,alpha,n)
|
|---|
| 1599 | call add2s2(r,w ,alphm,n)
|
|---|
| 1600 |
|
|---|
| 1601 | c Generate tridiagonal matrix for Lanczos scheme
|
|---|
| 1602 | if (iter.eq.1) then
|
|---|
| 1603 | krylov = krylov+1
|
|---|
| 1604 | diagt(iter) = rho/rtz1
|
|---|
| 1605 | elseif (iter.le.maxcg) then
|
|---|
| 1606 | krylov = krylov+1
|
|---|
| 1607 | diagt(iter) = (beta**2 * rho0 + rho ) / rtz1
|
|---|
| 1608 | upper(iter-1) = -beta * rho0 / sqrt(rtz2 * rtz1)
|
|---|
| 1609 | endif
|
|---|
| 1610 | 1000 continue
|
|---|
| 1611 | niter = iter-1
|
|---|
| 1612 | c
|
|---|
| 1613 | if (nid.eq.0) write (6,3001) istep,niter,name,rbn2,rbn0,tol
|
|---|
| 1614 | 3000 format(i9,4x,'hmh dg ',a4,': ',I6,1p6E13.4)
|
|---|
| 1615 | 3001 format(2i6,' **ERROR**: Failed in hmh_dg: ',a4,1p6E13.4)
|
|---|
| 1616 | 3002 format(i3,i6,' HMH dg ',a4,1x,l4,':',1p6E13.4)
|
|---|
| 1617 | 9999 continue
|
|---|
| 1618 | niterhm = niter
|
|---|
| 1619 | ifsolv = .false.
|
|---|
| 1620 | c
|
|---|
| 1621 | c
|
|---|
| 1622 | c Call eigenvalue routine for Lanczos scheme:
|
|---|
| 1623 | c two work arrays are req'd if you want to save "diag & upper"
|
|---|
| 1624 | c
|
|---|
| 1625 | c if (iter.ge.3) then
|
|---|
| 1626 | c niter = iter-1
|
|---|
| 1627 | c call calc (diagt,upper,w,z,krylov,dmax,dmin)
|
|---|
| 1628 | c cond = dmax/dmin
|
|---|
| 1629 | c if (nid.eq.0) write(6,6) istep,cond,dmin,dmax,' lambda'
|
|---|
| 1630 | c endif
|
|---|
| 1631 | c 6 format(i9,1p3e12.4,4x,a7)
|
|---|
| 1632 | c
|
|---|
| 1633 | c if (n.gt.0) write(6,*) 'quit in cggo'
|
|---|
| 1634 | c if (n.gt.0) call exitt
|
|---|
| 1635 | c call exitt
|
|---|
| 1636 | return
|
|---|
| 1637 | end
|
|---|
| 1638 | c-----------------------------------------------------------------------
|
|---|
| 1639 | subroutine outmax(a,m,n,name6,ie)
|
|---|
| 1640 | real a(m,n)
|
|---|
| 1641 | character*6 name6
|
|---|
| 1642 | c
|
|---|
| 1643 | n18 = min(n,18)
|
|---|
| 1644 | write(6,*)
|
|---|
| 1645 | write(6,*) ie,' matrix: ',name6,m,n
|
|---|
| 1646 | do i=1,m
|
|---|
| 1647 | write(6,6) ie,name6,(a(i,j),j=1,n18)
|
|---|
| 1648 | enddo
|
|---|
| 1649 | 6 format(i3,1x,a6,18f7.2)
|
|---|
| 1650 | write(6,*)
|
|---|
| 1651 | return
|
|---|
| 1652 | end
|
|---|
| 1653 | c-----------------------------------------------------------------------
|
|---|
| 1654 | subroutine outmat4(a,l,m,n,nel,name6,ie)
|
|---|
| 1655 | real a(l,m,n,nel)
|
|---|
| 1656 | character*6 name6
|
|---|
| 1657 | c
|
|---|
| 1658 | n18 = min(n,18)
|
|---|
| 1659 | write(6,*)
|
|---|
| 1660 | write(6,*) ie,' matrix: ',name6,m,n
|
|---|
| 1661 | do ll=1,l
|
|---|
| 1662 | do k=1,nel
|
|---|
| 1663 | write(6,*) ie,' matrix: ',name6,ll,k
|
|---|
| 1664 | do j=1,4
|
|---|
| 1665 | write(6,6) ie,name6,(a(ll,i,j,k),i=1,m)
|
|---|
| 1666 | enddo
|
|---|
| 1667 | enddo
|
|---|
| 1668 | enddo
|
|---|
| 1669 | 6 format(i3,1x,a6,18f7.2)
|
|---|
| 1670 | write(6,*)
|
|---|
| 1671 | return
|
|---|
| 1672 | end
|
|---|
| 1673 | c-----------------------------------------------------------------------
|
|---|
| 1674 | subroutine ioutmat4(a,l,m,n,nel,name6,ie)
|
|---|
| 1675 | integer a(l,m,n,nel)
|
|---|
| 1676 | character*6 name6
|
|---|
| 1677 | c
|
|---|
| 1678 | n18 = min(n,18)
|
|---|
| 1679 | write(6,*)
|
|---|
| 1680 | write(6,*) ie,' matrix: ',name6,m,n
|
|---|
| 1681 | do ll=1,l
|
|---|
| 1682 | do k=1,nel
|
|---|
| 1683 | write(6,*) ie,' matrix: ',name6,ll,k
|
|---|
| 1684 | do j=1,n
|
|---|
| 1685 | write(6,6) ie,name6,(a(ll,i,j,k),i=1,m)
|
|---|
| 1686 | enddo
|
|---|
| 1687 | enddo
|
|---|
| 1688 | enddo
|
|---|
| 1689 | 6 format(i3,1x,a6,18i7)
|
|---|
| 1690 | write(6,*)
|
|---|
| 1691 | return
|
|---|
| 1692 | end
|
|---|
| 1693 | c-----------------------------------------------------------------------
|
|---|
| 1694 | subroutine ioutfld(a,m,n,nel,name6,ie)
|
|---|
| 1695 | integer a(m,n,nel)
|
|---|
| 1696 | character*6 name6
|
|---|
| 1697 |
|
|---|
| 1698 | n18 = min(n,18)
|
|---|
| 1699 | write(6,*)
|
|---|
| 1700 | write(6,*) ie,' matrix: ',name6,m,n
|
|---|
| 1701 | do j=1,n
|
|---|
| 1702 | if (m.eq.3) write(6,3) ie,name6,((a(i,j,k),i=1,m),k=1,2)
|
|---|
| 1703 | if (m.eq.4) write(6,4) ie,name6,((a(i,j,k),i=1,m),k=1,2)
|
|---|
| 1704 | if (m.eq.5) write(6,5) ie,name6,((a(i,j,k),i=1,m),k=1,2)
|
|---|
| 1705 | if (m.eq.6) write(6,6) ie,name6,((a(i,j,k),i=1,m),k=1,2)
|
|---|
| 1706 | enddo
|
|---|
| 1707 | 3 format(i3,1x,a6,2(3i7,2x))
|
|---|
| 1708 | 4 format(i3,1x,a6,2(4i7,2x))
|
|---|
| 1709 | 5 format(i3,1x,a6,2(5i7,2x))
|
|---|
| 1710 | 6 format(i3,1x,a6,2(6i7,2x))
|
|---|
| 1711 | write(6,*)
|
|---|
| 1712 | return
|
|---|
| 1713 | end
|
|---|
| 1714 | c-----------------------------------------------------------------------
|
|---|
| 1715 | subroutine gradr(ur,us,ut,u,Dr,Dst,Dtt,nr,ns,nt,if3d)
|
|---|
| 1716 | c
|
|---|
| 1717 | c Output: ur,us,ut Input: u
|
|---|
| 1718 | c
|
|---|
| 1719 | real ur(nr,ns,nt),us(nr,ns,nt),ut(nr,ns,nt)
|
|---|
| 1720 | real u (nr,ns,nt)
|
|---|
| 1721 | real Dr(nr,nr),Dst(ns,ns),Dtt(nt,nt)
|
|---|
| 1722 | c
|
|---|
| 1723 | logical if3d
|
|---|
| 1724 | c
|
|---|
| 1725 | nst = ns*nt
|
|---|
| 1726 | nrs = nr*ns
|
|---|
| 1727 | c
|
|---|
| 1728 | if (if3d) then
|
|---|
| 1729 | call mxm(Dr,nr,u,nr,ur,nst)
|
|---|
| 1730 | do k=1,nt
|
|---|
| 1731 | call mxm(u(1,1,k),nr,Dst,ns,us(1,1,k),nt)
|
|---|
| 1732 | enddo
|
|---|
| 1733 | call mxm(u,nrs,Dtt,nt,ut,nt)
|
|---|
| 1734 | else
|
|---|
| 1735 | call mxm(Dr,nr,u ,nr,ur,ns)
|
|---|
| 1736 | call mxm(u ,nr,Dst,ns,us,ns)
|
|---|
| 1737 | endif
|
|---|
| 1738 | c
|
|---|
| 1739 | return
|
|---|
| 1740 | end
|
|---|
| 1741 | c-----------------------------------------------------------------------
|
|---|
| 1742 | subroutine gradrta(u,ur,us,ut,Drt,Ds,Dt,nr,ns,nt,if3d)
|
|---|
| 1743 | c
|
|---|
| 1744 | c T T T
|
|---|
| 1745 | c Output: u = u + D ur + D us + D ut Input: ur,us,ut
|
|---|
| 1746 | c r s t
|
|---|
| 1747 | c
|
|---|
| 1748 | real u (nr,ns,nt)
|
|---|
| 1749 | real ur(nr,ns,nt),us(nr,ns,nt),ut(nr,ns,nt)
|
|---|
| 1750 | real Dr(nr,nr),Dst(ns,ns),Dtt(nt,nt)
|
|---|
| 1751 | c
|
|---|
| 1752 | logical if3d
|
|---|
| 1753 | c
|
|---|
| 1754 | nst = ns*nt
|
|---|
| 1755 | nrs = nr*ns
|
|---|
| 1756 | c
|
|---|
| 1757 | if (if3d) then
|
|---|
| 1758 | call mxma(Drt,nr,ur,nr,u,nst)
|
|---|
| 1759 | do k=1,nt
|
|---|
| 1760 | call mxma(us(1,1,k),nr,Ds,ns,u(1,1,k),nt)
|
|---|
| 1761 | enddo
|
|---|
| 1762 | call mxma(ut,nrs,Dt,nt,u,nt)
|
|---|
| 1763 | else
|
|---|
| 1764 | call mxma(Drt,nr,ur,nr,u,ns)
|
|---|
| 1765 | call mxma(us ,nr,Ds,ns,u,ns)
|
|---|
| 1766 | endif
|
|---|
| 1767 | c
|
|---|
| 1768 | return
|
|---|
| 1769 | end
|
|---|
| 1770 | c-----------------------------------------------------------------------
|
|---|
| 1771 | subroutine face_diff (u,d,gsh_loc,w) ! difference: e_f - e'_f
|
|---|
| 1772 |
|
|---|
| 1773 | include 'SIZE'
|
|---|
| 1774 | include 'TOPOL'
|
|---|
| 1775 | include 'PARALLEL'
|
|---|
| 1776 |
|
|---|
| 1777 | integer d,gsh_loc
|
|---|
| 1778 | real u(lx1*lz1*2*ldim*lelt,2)
|
|---|
| 1779 | real w(lx1*lz1*2*ldim*lelt,2)
|
|---|
| 1780 |
|
|---|
| 1781 | n = 2*ldim*lx1*lz1*nelt
|
|---|
| 1782 |
|
|---|
| 1783 | do j=1,d
|
|---|
| 1784 | do i=1,n
|
|---|
| 1785 | w(i,j) = u(i,j)
|
|---|
| 1786 | enddo
|
|---|
| 1787 | call fgslib_gs_op (gsh_loc,w(1,j),1,1,0) ! 1 ==> +
|
|---|
| 1788 |
|
|---|
| 1789 | do i=1,n
|
|---|
| 1790 | u(i,j) = 2*u(i,j)-w(i,j)
|
|---|
| 1791 | enddo
|
|---|
| 1792 |
|
|---|
| 1793 | enddo
|
|---|
| 1794 |
|
|---|
| 1795 | return
|
|---|
| 1796 | end
|
|---|
| 1797 | c-----------------------------------------------------------------------
|
|---|
| 1798 | subroutine setprec_dg (d,h1,h2,imsh,isd)
|
|---|
| 1799 | C-------------------------------------------------------------------
|
|---|
| 1800 | C
|
|---|
| 1801 | C Generate diagonal preconditioner for the DG Helmholtz operator.
|
|---|
| 1802 | C
|
|---|
| 1803 | C-------------------------------------------------------------------
|
|---|
| 1804 | include 'SIZE'
|
|---|
| 1805 | include 'TOTAL'
|
|---|
| 1806 | real d(lx1,ly1,lz1,1)
|
|---|
| 1807 | common /fastmd/ ifdfrm(lelt), iffast(lelt), ifh2, ifsolv
|
|---|
| 1808 | logical ifdfrm, iffast, ifh2, ifsolv
|
|---|
| 1809 | real h1(lx1*ly1*lz1,1), h2(lx1*ly1*lz1,1)
|
|---|
| 1810 | real ysm1(ly1)
|
|---|
| 1811 | integer e,f,pf
|
|---|
| 1812 |
|
|---|
| 1813 | nel=nelt
|
|---|
| 1814 | if (imsh.eq.1) nel=nelv
|
|---|
| 1815 |
|
|---|
| 1816 | call dsset(lx1,ly1,lz1)
|
|---|
| 1817 |
|
|---|
| 1818 | n = nel*lx1*ly1*lz1
|
|---|
| 1819 | nxyz = lx1*ly1*lz1
|
|---|
| 1820 | nface = 2*ldim
|
|---|
| 1821 |
|
|---|
| 1822 | do 1000 e=1,nel
|
|---|
| 1823 |
|
|---|
| 1824 | call rzero(d(1,1,1,e),nxyz)
|
|---|
| 1825 |
|
|---|
| 1826 | if (ldim.eq.3) then
|
|---|
| 1827 |
|
|---|
| 1828 | do 320 iz=1,lz1
|
|---|
| 1829 | do 320 iy=1,ly1
|
|---|
| 1830 | do 320 ix=1,lx1
|
|---|
| 1831 | do 320 iq=1,lx1
|
|---|
| 1832 | d(ix,iy,iz,e) = d(ix,iy,iz,e)
|
|---|
| 1833 | $ + g1m1(iq,iy,iz,e) * dxm1(iq,ix)**2
|
|---|
| 1834 | $ + g2m1(ix,iq,iz,e) * dxm1(iq,iy)**2
|
|---|
| 1835 | $ + g3m1(ix,iy,iq,e) * dxm1(iq,iz)**2
|
|---|
| 1836 | 320 continue
|
|---|
| 1837 | c
|
|---|
| 1838 | c Add cross terms if element is deformed.
|
|---|
| 1839 | c
|
|---|
| 1840 | if (ifdfrm(e)) then
|
|---|
| 1841 |
|
|---|
| 1842 | do i2=1,ly1,ly1-1
|
|---|
| 1843 | do i1=1,lx1,lx1-1
|
|---|
| 1844 | d(1,i1,i2,e) = d(1,i1,i2,e)
|
|---|
| 1845 | $ + g4m1(1,i1,i2,e) * dxtm1(1,1)*dytm1(i1,i1)
|
|---|
| 1846 | $ + g5m1(1,i1,i2,e) * dxtm1(1,1)*dztm1(i2,i2)
|
|---|
| 1847 | d(lx1,i1,i2,e) = d(lx1,i1,i2,e)
|
|---|
| 1848 | $ + g4m1(lx1,i1,i2,e) * dxtm1(lx1,lx1)*dytm1(i1,i1)
|
|---|
| 1849 | $ + g5m1(lx1,i1,i2,e) * dxtm1(lx1,lx1)*dztm1(i2,i2)
|
|---|
| 1850 | d(i1,1,i2,e) = d(i1,1,i2,e)
|
|---|
| 1851 | $ + g4m1(i1,1,i2,e) * dytm1(1,1)*dxtm1(i1,i1)
|
|---|
| 1852 | $ + g6m1(i1,1,i2,e) * dytm1(1,1)*dztm1(i2,i2)
|
|---|
| 1853 | d(i1,ly1,i2,e) = d(i1,ly1,i2,e)
|
|---|
| 1854 | $ + g4m1(i1,ly1,i2,e) * dytm1(ly1,ly1)*dxtm1(i1,i1)
|
|---|
| 1855 | $ + g6m1(i1,ly1,i2,e) * dytm1(ly1,ly1)*dztm1(i2,i2)
|
|---|
| 1856 | d(i1,i2,1,e) = d(i1,i2,1,e)
|
|---|
| 1857 | $ + g5m1(i1,i2,1,e) * dztm1(1,1)*dxtm1(i1,i1)
|
|---|
| 1858 | $ + g6m1(i1,i2,1,e) * dztm1(1,1)*dytm1(i2,i2)
|
|---|
| 1859 | d(i1,i2,lz1,e) = d(i1,i2,lz1,e)
|
|---|
| 1860 | $ + g5m1(i1,i2,lz1,e) * dztm1(lz1,lz1)*dxtm1(i1,i1)
|
|---|
| 1861 | $ + g6m1(i1,i2,lz1,e) * dztm1(lz1,lz1)*dytm1(i2,i2)
|
|---|
| 1862 |
|
|---|
| 1863 | enddo
|
|---|
| 1864 | enddo
|
|---|
| 1865 | endif
|
|---|
| 1866 |
|
|---|
| 1867 | else ! 2d
|
|---|
| 1868 |
|
|---|
| 1869 | iz=1
|
|---|
| 1870 | if (ifaxis) call setaxdy ( ifrzer(e) )
|
|---|
| 1871 |
|
|---|
| 1872 | do 220 iy=1,ly1
|
|---|
| 1873 | do 220 ix=1,lx1
|
|---|
| 1874 | do 220 iq=1,lx1
|
|---|
| 1875 | d(ix,iy,iz,e) = d(ix,iy,iz,e)
|
|---|
| 1876 | $ + g1m1(iq,iy,iz,e) * dxm1(iq,ix)**2
|
|---|
| 1877 | $ + g2m1(ix,iq,iz,e) * dxm1(iq,iy)**2
|
|---|
| 1878 | 220 continue
|
|---|
| 1879 | c
|
|---|
| 1880 |
|
|---|
| 1881 | if (ifdfrm(e)) then
|
|---|
| 1882 |
|
|---|
| 1883 | do i1=1,ly1,ly1-1
|
|---|
| 1884 | d(1,i1,iz,e) = d(1,i1,iz,e)
|
|---|
| 1885 | $ + g4m1(1,i1,iz,e) * dxm1(1,1)*dym1(i1,i1)
|
|---|
| 1886 | d(lx1,i1,iz,e) = d(lx1,i1,iz,e)
|
|---|
| 1887 | $ + g4m1(lx1,i1,iz,e) * dxm1(lx1,lx1)*dym1(i1,i1)
|
|---|
| 1888 | d(i1,1,iz,e) = d(i1,1,iz,e)
|
|---|
| 1889 | $ + g4m1(i1,1,iz,e) * dym1(1,1)*dxm1(i1,i1)
|
|---|
| 1890 | d(i1,ly1,iz,e) = d(i1,ly1,iz,e)
|
|---|
| 1891 | $ + g4m1(i1,ly1,iz,e) * dym1(ly1,ly1)*dxm1(i1,i1)
|
|---|
| 1892 | enddo
|
|---|
| 1893 | endif
|
|---|
| 1894 |
|
|---|
| 1895 | endif
|
|---|
| 1896 |
|
|---|
| 1897 | c Here, we add DG surface terms (11/06/16)
|
|---|
| 1898 |
|
|---|
| 1899 | do f=1,nface
|
|---|
| 1900 | pf = eface1(f)
|
|---|
| 1901 | js1 = skpdat(1,pf)
|
|---|
| 1902 | jf1 = skpdat(2,pf)
|
|---|
| 1903 | jskip1 = skpdat(3,pf)
|
|---|
| 1904 | js2 = skpdat(4,pf)
|
|---|
| 1905 | jf2 = skpdat(5,pf)
|
|---|
| 1906 | jskip2 = skpdat(6,pf)
|
|---|
| 1907 |
|
|---|
| 1908 | i = 0
|
|---|
| 1909 | do j2=js2,jf2,jskip2
|
|---|
| 1910 | do j1=js1,jf1,jskip1
|
|---|
| 1911 | i = i+1
|
|---|
| 1912 | d(j1,j2,1,e) = d(j1,j2,1,e) + etalph(i,f,e)
|
|---|
| 1913 | enddo
|
|---|
| 1914 | enddo
|
|---|
| 1915 | enddo
|
|---|
| 1916 |
|
|---|
| 1917 | i=0
|
|---|
| 1918 | nx=lx1
|
|---|
| 1919 | if (ldim.eq.3) then
|
|---|
| 1920 | do i2=1,ly1
|
|---|
| 1921 | do i1=1,lx1
|
|---|
| 1922 | i=i+1
|
|---|
| 1923 | d( 1,i1,i2,e)=d( 1,i1,i2,e)-2*fw(4,e)*unr(i,4,e)*dxm1( 1, 1)
|
|---|
| 1924 | d(nx,i1,i2,e)=d(nx,i1,i2,e)-2*fw(2,e)*unr(i,2,e)*dxm1(nx,nx)
|
|---|
| 1925 | d(i1, 1,i2,e)=d(i1, 1,i2,e)-2*fw(1,e)*uns(i,1,e)*dym1( 1, 1)
|
|---|
| 1926 | d(i1,nx,i2,e)=d(i1,nx,i2,e)-2*fw(3,e)*uns(i,3,e)*dym1(nx,nx)
|
|---|
| 1927 | d(i1,i2, 1,e)=d(i1,i2, 1,e)-2*fw(5,e)*unt(i,5,e)*dzm1( 1, 1)
|
|---|
| 1928 | d(i1,i2,nx,e)=d(i1,i2,nx,e)-2*fw(6,e)*unt(i,6,e)*dzm1(nx,nx)
|
|---|
| 1929 | enddo
|
|---|
| 1930 | enddo
|
|---|
| 1931 | else ! 2D
|
|---|
| 1932 | do i1=1,lx1
|
|---|
| 1933 | i=i+1
|
|---|
| 1934 | d( 1,i1,1,e)=d( 1,i1,1,e)-2*fw(4,e)*unr(i,4,e)*dxm1( 1, 1)
|
|---|
| 1935 | d(nx,i1,1,e)=d(nx,i1,1,e)-2*fw(2,e)*unr(i,2,e)*dxm1(nx,nx)
|
|---|
| 1936 | d(i1, 1,1,e)=d(i1, 1,1,e)-2*fw(1,e)*uns(i,1,e)*dym1( 1, 1)
|
|---|
| 1937 | d(i1,nx,1,e)=d(i1,nx,1,e)-2*fw(3,e)*uns(i,3,e)*dym1(nx,nx)
|
|---|
| 1938 | enddo
|
|---|
| 1939 | endif
|
|---|
| 1940 |
|
|---|
| 1941 | do i=1,nxyz
|
|---|
| 1942 | d(i,1,1,e)=1./(d(i,1,1,e)*h1(i,e)+h2(i,e)*bm1(i,1,1,e))
|
|---|
| 1943 | enddo
|
|---|
| 1944 |
|
|---|
| 1945 | 1000 continue ! element loop
|
|---|
| 1946 |
|
|---|
| 1947 | c If axisymmetric, add a diagonal term in the radial direction (ISD=2)
|
|---|
| 1948 |
|
|---|
| 1949 | if (ifaxis.and.(isd.eq.2)) then
|
|---|
| 1950 | call invcol1 (d,n)
|
|---|
| 1951 | do 1200 e=1,nel
|
|---|
| 1952 |
|
|---|
| 1953 | if (ifrzer(e)) call mxm(ym1(1,1,1,e),lx1,datm1,ly1,ysm1,1)
|
|---|
| 1954 |
|
|---|
| 1955 | k=0
|
|---|
| 1956 | do 1190 j=1,ly1
|
|---|
| 1957 | do 1190 i=1,lx1
|
|---|
| 1958 | k=k+1
|
|---|
| 1959 | if (ym1(i,j,1,e).ne.0.) then
|
|---|
| 1960 | term1 = bm1(i,j,1,e)/ym1(i,j,1,e)**2
|
|---|
| 1961 | if (ifrzer(e)) then
|
|---|
| 1962 | term2 = wxm1(i)*wam1(1)*dam1(1,j)
|
|---|
| 1963 | $ *jacm1(i,1,1,e)/ysm1(i)
|
|---|
| 1964 | else
|
|---|
| 1965 | term2 = 0.
|
|---|
| 1966 | endif
|
|---|
| 1967 | d(i,j,1,e) = d(i,j,1,e)
|
|---|
| 1968 | $ + h1(k,e)*(term1+term2)
|
|---|
| 1969 | endif
|
|---|
| 1970 | 1190 continue
|
|---|
| 1971 | 1200 continue
|
|---|
| 1972 |
|
|---|
| 1973 | call invcol1 (d,n)
|
|---|
| 1974 |
|
|---|
| 1975 | endif
|
|---|
| 1976 |
|
|---|
| 1977 | return
|
|---|
| 1978 | end
|
|---|
| 1979 | c-----------------------------------------------------------------------
|
|---|
| 1980 | subroutine hxdg_surfa(au,u,h1,h2)
|
|---|
| 1981 |
|
|---|
| 1982 | c Helmholtz matrix-vector product: Au = Au + surface term
|
|---|
| 1983 |
|
|---|
| 1984 | include 'SIZE'
|
|---|
| 1985 | include 'TOTAL'
|
|---|
| 1986 |
|
|---|
| 1987 | parameter (lxyz=lx1*ly1*lz1)
|
|---|
| 1988 |
|
|---|
| 1989 | real au(lx1,ly1,lz1,lelt),u(lx1,ly1,lz1,lelt)
|
|---|
| 1990 | real h1(lx1,ly1,lz1,lelt),h2(1)
|
|---|
| 1991 |
|
|---|
| 1992 | common /ytmp9/ qr(lx1,ly1,lz1),qs(lx1,ly1,lz1),qt(lx1,ly1,lz1)
|
|---|
| 1993 |
|
|---|
| 1994 | integer e,f,pf
|
|---|
| 1995 |
|
|---|
| 1996 |
|
|---|
| 1997 | call dsset(lx1,ly1,lz1)
|
|---|
| 1998 | nface = 2*ldim
|
|---|
| 1999 | n = lx1*ly1*lz1*nelfld(ifield)
|
|---|
| 2000 |
|
|---|
| 2001 | do e=1,nelfld(ifield)
|
|---|
| 2002 | iflag=0
|
|---|
| 2003 | do f=1,nface
|
|---|
| 2004 | if (fw(f,e).gt.0.6) iflag=1
|
|---|
| 2005 | enddo
|
|---|
| 2006 | if (iflag.gt.0) then
|
|---|
| 2007 |
|
|---|
| 2008 | if (ifaxis) call setaxdy(ifrzer(e))
|
|---|
| 2009 |
|
|---|
| 2010 | do i=1,lxyz
|
|---|
| 2011 | qr(i,1,1)=0
|
|---|
| 2012 | qs(i,1,1)=0
|
|---|
| 2013 | qt(i,1,1)=0
|
|---|
| 2014 | enddo
|
|---|
| 2015 |
|
|---|
| 2016 | do f=1,nface
|
|---|
| 2017 | if (fw(f,e).gt.0.6) then
|
|---|
| 2018 | pf = eface1(f)
|
|---|
| 2019 | js1 = skpdat(1,pf)
|
|---|
| 2020 | jf1 = skpdat(2,pf)
|
|---|
| 2021 | jskip1 = skpdat(3,pf)
|
|---|
| 2022 | js2 = skpdat(4,pf)
|
|---|
| 2023 | jf2 = skpdat(5,pf)
|
|---|
| 2024 | jskip2 = skpdat(6,pf)
|
|---|
| 2025 |
|
|---|
| 2026 | fwtbc=1.
|
|---|
| 2027 | if (cbc(f,e,ifield).eq.'O '.or.cbc(f,e,ifield).eq.'I ')
|
|---|
| 2028 | $ fwtbc=0
|
|---|
| 2029 |
|
|---|
| 2030 | i = 0
|
|---|
| 2031 | do j2=js2,jf2,jskip2
|
|---|
| 2032 | do j1=js1,jf1,jskip1
|
|---|
| 2033 | i = i+1
|
|---|
| 2034 | fwt = fwtbc * h1(j1,j2,1,e)*u(j1,j2,1,e)
|
|---|
| 2035 | et1 = etalph(i,f,e)*h1(j1,j2,1,e)*u(j1,j2,1,e)
|
|---|
| 2036 | qr(j1,j2,1) = qr(j1,j2,1)-fwt*unr(i,f,e)
|
|---|
| 2037 | qs(j1,j2,1) = qs(j1,j2,1)-fwt*uns(i,f,e)
|
|---|
| 2038 | qt(j1,j2,1) = qt(j1,j2,1)-fwt*unt(i,f,e)
|
|---|
| 2039 | au(j1,j2,1,e) = au(j1,j2,1,e)+et1*fwtbc
|
|---|
| 2040 | enddo
|
|---|
| 2041 | enddo
|
|---|
| 2042 | endif
|
|---|
| 2043 | enddo
|
|---|
| 2044 |
|
|---|
| 2045 | call gradrta(au(1,1,1,e),qr,qs,qt ! NOTE FIX in gradr()! 3D!
|
|---|
| 2046 | $ ,dxtm1,dym1,dzm1,lx1,ly1,lz1,if3d)
|
|---|
| 2047 | endif
|
|---|
| 2048 | enddo
|
|---|
| 2049 |
|
|---|
| 2050 | return
|
|---|
| 2051 | end
|
|---|
| 2052 | c-----------------------------------------------------------------------
|
|---|
| 2053 | subroutine hxdg (au,u,h1,h2)
|
|---|
| 2054 |
|
|---|
| 2055 | c Helmholtz matrix-vector product: Au = h1*[A]u + h2*[B]u
|
|---|
| 2056 |
|
|---|
| 2057 | include 'SIZE'
|
|---|
| 2058 | include 'TOTAL'
|
|---|
| 2059 |
|
|---|
| 2060 | parameter(lxyz=lx1*ly1*lz1)
|
|---|
| 2061 | real au(lx1,ly1,lz1,1),u(lx1,ly1,lz1,1),h1(lx1,ly1,lz1,1),h2(1)
|
|---|
| 2062 |
|
|---|
| 2063 | common /ctmp0/ w(2*lx1*lz1*2*ldim*lelt)
|
|---|
| 2064 | common /ctmp1/ ur(lx1,ly1,lz1,lelt),us(lx1,ly1,lz1,lelt)
|
|---|
| 2065 | $ ,ut(lx1,ly1,lz1,lelt)
|
|---|
| 2066 | common /ytmp9/ qr(lx1,ly1,lz1),qs(lx1,ly1,lz1),qt(lx1,ly1,lz1)
|
|---|
| 2067 | common /ytmp0/ uf(lx1*lz1,2*ldim,lelt,2)
|
|---|
| 2068 |
|
|---|
| 2069 | integer e,f,pf
|
|---|
| 2070 |
|
|---|
| 2071 | n = lx1*ly1*lz1*nelfld(ifield)
|
|---|
| 2072 | nface = 2*ldim
|
|---|
| 2073 |
|
|---|
| 2074 | call dsset(lx1,ly1,lz1)
|
|---|
| 2075 |
|
|---|
| 2076 | call col4(au,h2,bm1,u,n) ! au = h2 B u
|
|---|
| 2077 |
|
|---|
| 2078 | do e=1,nelfld(ifield)
|
|---|
| 2079 |
|
|---|
| 2080 | if (ifaxis) call setaxdy(ifrzer(e))
|
|---|
| 2081 |
|
|---|
| 2082 | call gradr(ur(1,1,1,e),us(1,1,1,e),ut(1,1,1,e) ! NOTE FIX in gradr()! 3D!
|
|---|
| 2083 | $ ,u (1,1,1,e),dxm1,dytm1,dztm1,lx1,ly1,lz1,if3d)
|
|---|
| 2084 |
|
|---|
| 2085 | do f=1,nface
|
|---|
| 2086 | pf = eface1(f)
|
|---|
| 2087 | js1 = skpdat(1,pf)
|
|---|
| 2088 | jf1 = skpdat(2,pf)
|
|---|
| 2089 | jskip1 = skpdat(3,pf)
|
|---|
| 2090 | js2 = skpdat(4,pf)
|
|---|
| 2091 | jf2 = skpdat(5,pf)
|
|---|
| 2092 | jskip2 = skpdat(6,pf)
|
|---|
| 2093 |
|
|---|
| 2094 | i = 0
|
|---|
| 2095 | do j2=js2,jf2,jskip2
|
|---|
| 2096 | do j1=js1,jf1,jskip1
|
|---|
| 2097 | i = i+1
|
|---|
| 2098 | c Normally, we'd store this as a 2-vector: uf(2,...)
|
|---|
| 2099 | uf(i,f,e,1) = u(j1,j2,1,e)*h1(j1,j2,1,e)
|
|---|
| 2100 | uf(i,f,e,2) = (unr(i,f,e)*ur(j1,j2,1,e)
|
|---|
| 2101 | $ + uns(i,f,e)*us(j1,j2,1,e)
|
|---|
| 2102 | $ + unt(i,f,e)*ut(j1,j2,1,e))*h1(j1,j2,1,e)
|
|---|
| 2103 | enddo
|
|---|
| 2104 | enddo
|
|---|
| 2105 | enddo
|
|---|
| 2106 | enddo
|
|---|
| 2107 |
|
|---|
| 2108 | call face_diff (uf,2,dg_hndlx,w) ! difference: e_f - e'_f
|
|---|
| 2109 |
|
|---|
| 2110 | do e=1,nelfld(ifield)
|
|---|
| 2111 | if (ifaxis) call setaxdy(ifrzer(e))
|
|---|
| 2112 | do i=1,lxyz
|
|---|
| 2113 | qr(i,1,1) = (g1m1(i,1,1,e)*ur(i,1,1,e)
|
|---|
| 2114 | $ +g4m1(i,1,1,e)*us(i,1,1,e)
|
|---|
| 2115 | $ +g5m1(i,1,1,e)*ut(i,1,1,e))*h1(i,1,1,e)
|
|---|
| 2116 | qs(i,1,1) = (g4m1(i,1,1,e)*ur(i,1,1,e)
|
|---|
| 2117 | $ +g2m1(i,1,1,e)*us(i,1,1,e)
|
|---|
| 2118 | $ +g6m1(i,1,1,e)*ut(i,1,1,e))*h1(i,1,1,e)
|
|---|
| 2119 | qt(i,1,1) = (g5m1(i,1,1,e)*ur(i,1,1,e)
|
|---|
| 2120 | $ +g6m1(i,1,1,e)*us(i,1,1,e)
|
|---|
| 2121 | $ +g3m1(i,1,1,e)*ut(i,1,1,e))*h1(i,1,1,e)
|
|---|
| 2122 | enddo
|
|---|
| 2123 |
|
|---|
| 2124 | do f=1,nface
|
|---|
| 2125 |
|
|---|
| 2126 | fwtbc=1.
|
|---|
| 2127 | if (cbc(f,e,ifield).eq.'O '.or.cbc(f,e,ifield).eq.'I ')
|
|---|
| 2128 | $ fwtbc=0
|
|---|
| 2129 | pf = eface1(f)
|
|---|
| 2130 | js1 = skpdat(1,pf)
|
|---|
| 2131 | jf1 = skpdat(2,pf)
|
|---|
| 2132 | jskip1 = skpdat(3,pf)
|
|---|
| 2133 | js2 = skpdat(4,pf)
|
|---|
| 2134 | jf2 = skpdat(5,pf)
|
|---|
| 2135 | jskip2 = skpdat(6,pf)
|
|---|
| 2136 |
|
|---|
| 2137 |
|
|---|
| 2138 | i = 0
|
|---|
| 2139 | do j2=js2,jf2,jskip2
|
|---|
| 2140 | do j1=js1,jf1,jskip1
|
|---|
| 2141 | i = i+1
|
|---|
| 2142 | fwt = fw(f,e)*fwtbc
|
|---|
| 2143 | qr(j1,j2,1)=qr(j1,j2,1)-fwt*unr(i,f,e)*uf(i,f,e,1)
|
|---|
| 2144 | qs(j1,j2,1)=qs(j1,j2,1)-fwt*uns(i,f,e)*uf(i,f,e,1)
|
|---|
| 2145 | qt(j1,j2,1)=qt(j1,j2,1)-fwt*unt(i,f,e)*uf(i,f,e,1)
|
|---|
| 2146 | au(j1,j2,1,e) = au(j1,j2,1,e)-fwt*uf(i,f,e,2)
|
|---|
| 2147 | $ + etalph(i,f,e)*uf(i,f,e,1)*fwtbc
|
|---|
| 2148 | enddo
|
|---|
| 2149 | enddo
|
|---|
| 2150 |
|
|---|
| 2151 | enddo
|
|---|
| 2152 |
|
|---|
| 2153 | call gradrta(au(1,1,1,e),qr,qs,qt ! NOTE FIX in gradr()! 3D!
|
|---|
| 2154 | $ ,dxtm1,dym1,dzm1,lx1,ly1,lz1,if3d)
|
|---|
| 2155 | enddo
|
|---|
| 2156 |
|
|---|
| 2157 | return
|
|---|
| 2158 | end
|
|---|
| 2159 | c-----------------------------------------------------------------------
|
|---|
| 2160 | subroutine hmh_flex_cg(res,h1,h2,wt,iter)
|
|---|
| 2161 |
|
|---|
| 2162 | c Solve the Helmholtz equation by right-preconditioned
|
|---|
| 2163 | c GMRES iteration.
|
|---|
| 2164 |
|
|---|
| 2165 |
|
|---|
| 2166 | include 'SIZE'
|
|---|
| 2167 | include 'TOTAL'
|
|---|
| 2168 | include 'FDMH1'
|
|---|
| 2169 | include 'GMRES'
|
|---|
| 2170 | common /ctolpr/ divex
|
|---|
| 2171 | common /cprint/ ifprint
|
|---|
| 2172 | logical ifprint
|
|---|
| 2173 | real res (lx1*ly1*lz1*lelv)
|
|---|
| 2174 | real h1 (lx1,ly1,lz1,lelv)
|
|---|
| 2175 | real h2 (lx1,ly1,lz1,lelv)
|
|---|
| 2176 | real wt (lx1,ly1,lz1,lelv)
|
|---|
| 2177 |
|
|---|
| 2178 | parameter (lt=lx1*ly1*lz1*lelt)
|
|---|
| 2179 | common /scrcg/ r(lt),z(lt),p(lt),w(lt)
|
|---|
| 2180 | common /scrmg/ r1(lt)
|
|---|
| 2181 |
|
|---|
| 2182 | common /cgmres1/ y(lgmres)
|
|---|
| 2183 | common /ctmp0/ wk1(lgmres),wk2(lgmres)
|
|---|
| 2184 | real alpha, l, temp
|
|---|
| 2185 | integer outer
|
|---|
| 2186 |
|
|---|
| 2187 | logical iflag,if_hyb
|
|---|
| 2188 | save iflag,if_hyb
|
|---|
| 2189 | c data iflag,if_hyb /.false. , .true. /
|
|---|
| 2190 | data iflag,if_hyb /.false. , .false. /
|
|---|
| 2191 | real norm_fac
|
|---|
| 2192 | save norm_fac
|
|---|
| 2193 |
|
|---|
| 2194 | real*8 etime1,dnekclock
|
|---|
| 2195 |
|
|---|
| 2196 | n = lx1*ly1*lz1*nelv
|
|---|
| 2197 |
|
|---|
| 2198 | div0 = gamma_gmres(1)*norm_fac
|
|---|
| 2199 |
|
|---|
| 2200 | etime1 = dnekclock()
|
|---|
| 2201 | etime_p = 0.
|
|---|
| 2202 | divex = 0.
|
|---|
| 2203 | maxit = iter
|
|---|
| 2204 | iter = 0
|
|---|
| 2205 |
|
|---|
| 2206 |
|
|---|
| 2207 | call chktcg1(tolps,res,h1,h2,pmask,vmult,1,1)
|
|---|
| 2208 | if (param(21).gt.0.and.tolps.gt.abs(param(21)))
|
|---|
| 2209 | $ tolps = abs(param(21))
|
|---|
| 2210 | if (istep.eq.0) tolps = 1.e-4
|
|---|
| 2211 | tolpss = tolps
|
|---|
| 2212 |
|
|---|
| 2213 | iconv = 0
|
|---|
| 2214 | call copy (r,res,n) ! Residual
|
|---|
| 2215 | call rzero(r1 ,n) ! Lagged residual for flexible CG
|
|---|
| 2216 | call rzero(p,n) ! Search direction
|
|---|
| 2217 | call rzero(res,n) ! Solution vector
|
|---|
| 2218 | rho1 = 1
|
|---|
| 2219 | ! ______
|
|---|
| 2220 | div0 = sqrt(glsc3(r,wt,r,n)/volvm1) ! gamma = \/ (r,r)
|
|---|
| 2221 |
|
|---|
| 2222 | if (param(21).lt.0) tolpss=abs(param(21))*div0
|
|---|
| 2223 |
|
|---|
| 2224 |
|
|---|
| 2225 | do k=1,maxit
|
|---|
| 2226 |
|
|---|
| 2227 | if (param(40).ge.0 .and. param(40).le.2) then
|
|---|
| 2228 | call h1mg_solve(z,r,if_hyb) ! z = M w
|
|---|
| 2229 | else if (param(40).eq.3) then
|
|---|
| 2230 | call fem_amg_solve(z,r)
|
|---|
| 2231 | endif
|
|---|
| 2232 |
|
|---|
| 2233 | call sub2(r1,r,n)
|
|---|
| 2234 | rho0 = rho1
|
|---|
| 2235 | rho1 = glsc3(z,wt,r,n) ! Inner product weighted by multiplicity
|
|---|
| 2236 | rho2 = -glsc3(z,wt,r1,n) ! Inner product weighted by multiplicity
|
|---|
| 2237 | beta = rho2/rho0 ! Flexible GMRES
|
|---|
| 2238 |
|
|---|
| 2239 | call copy(r1,r,n) ! Save prior residual
|
|---|
| 2240 | call add2s1(p,z,beta,n)
|
|---|
| 2241 |
|
|---|
| 2242 | call ax(w,p,h1,h2,n) ! w = A p
|
|---|
| 2243 | den = glsc3(w,wt,p,n)
|
|---|
| 2244 | alpha = rho1/den
|
|---|
| 2245 | rnorm = 0.0
|
|---|
| 2246 | do i = 1,n
|
|---|
| 2247 | res(i) = res(i) + alpha*p(i)
|
|---|
| 2248 | r(i) = r(i) - alpha*w(i)
|
|---|
| 2249 | rnorm = rnorm + r(i)*r(i)*wt(i,1,1,1)
|
|---|
| 2250 | enddo
|
|---|
| 2251 | call gop(rnorm,temp,'+ ',1)
|
|---|
| 2252 |
|
|---|
| 2253 | c rnorm = sqrt(glsc3(r,wt,r,n)/volvm1) ! gamma = \/ (r,r)
|
|---|
| 2254 | rnorm = sqrt(rnorm/volvm1) ! gamma = \/ (r,r)
|
|---|
| 2255 | ratio = rnorm/div0
|
|---|
| 2256 |
|
|---|
| 2257 | iter=iter+1
|
|---|
| 2258 | if (ifprint.and.nio.eq.0)
|
|---|
| 2259 | $ write (6,66) iter,tolpss,rnorm,div0,ratio,istep
|
|---|
| 2260 | 66 format(i5,1p4e12.5,i8,' Divergence')
|
|---|
| 2261 |
|
|---|
| 2262 | if (rnorm .lt. tolpss) goto 900 !converged
|
|---|
| 2263 |
|
|---|
| 2264 | enddo
|
|---|
| 2265 |
|
|---|
| 2266 | 900 iconv = 1
|
|---|
| 2267 | divex = rnorm
|
|---|
| 2268 | call ortho (res) ! Orthogonalize wrt null space, if present
|
|---|
| 2269 | etime1 = dnekclock()-etime1
|
|---|
| 2270 | if (nio.eq.0) write(6,9999) istep,iter,divex,div0,tolpss,etime_p,
|
|---|
| 2271 | & etime1,if_hyb
|
|---|
| 2272 | 9999 format(4x,i7,' PRES cgflex',4x,i5,1p5e13.4,1x,l4)
|
|---|
| 2273 |
|
|---|
| 2274 | if (outer.le.2) if_hyb = .false.
|
|---|
| 2275 |
|
|---|
| 2276 | return
|
|---|
| 2277 | end
|
|---|
| 2278 | c-----------------------------------------------------------------------
|
|---|
