| 1 | c Various support routines for perturbation related calculuations.
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| 2 | c------------------------------------------------------------------------
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| 3 | subroutine flushBuffer(k)
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| 4 | integer k
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| 5 |
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| 6 | c call flush(k) ! this works most places (including the pgi compiler)
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| 7 | call flush_(k) ! this works on nersc seaborg
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| 8 |
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| 9 | return
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| 10 | end
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| 11 | c------------------------------------------------------------------------
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| 12 |
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| 13 | function opnormOld(v1,v2,v3,weight)
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| 14 | include 'SIZE'
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| 15 | include 'INPUT'
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| 16 | c
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| 17 | real v1(1),v2(1),v3(1),weight(1)
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| 18 | real normsq1,normsq2,normsq3,opnormOld,opnorm
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| 19 | c
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| 20 | ntotv=lx1*ly1*lz1*nelv
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| 21 | normsq1=glsc3(v1,weight,v1,ntotv)
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| 22 | normsq2=glsc3(v2,weight,v2,ntotv)
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| 23 | if(if3d) then
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| 24 | normsq3=glsc3(v3,weight,v3,ntotv)
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| 25 | else
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| 26 | normsq3=0
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| 27 | endif
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| 28 |
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| 29 | opnorm=normsq1+normsq2+normsq3
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| 30 | if (opnorm.gt.0) opnormOld=sqrt(opnorm)
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| 31 | return
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| 32 | end
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| 33 | c-----------------------------------------------------------------------
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| 34 |
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| 35 | function opnorm2(v1,v2,v3)
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| 36 | include 'SIZE'
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| 37 | include 'TOTAL'
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| 38 | c
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| 39 | real v1(1) , v2(1), v3(1)
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| 40 | real normsq1,normsq2,normsq3,opnorm
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| 41 | c
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| 42 | ntotv=lx1*ly1*lz1*nelv
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| 43 | normsq1=glsc3(v1,bm1,v1,ntotv)
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| 44 | normsq2=glsc3(v2,bm1,v2,ntotv)
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| 45 | if(if3d) then
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| 46 | normsq3=glsc3(v3,bm1,v3,ntotv)
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| 47 | else
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| 48 | normsq3=0
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| 49 | endif
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| 50 |
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| 51 | opnorm2=normsq1+normsq2+normsq3
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| 52 | if (opnorm2.gt.0) opnorm2=sqrt(opnorm2/volvm1)
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| 53 | return
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| 54 | end
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| 55 | c-----------------------------------------------------------------------
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| 56 |
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| 57 | function Tnorm(temp)
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| 58 | include 'SIZE'
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| 59 | include 'TOTAL'
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| 60 |
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| 61 | real temp(*)
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| 62 | c
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| 63 | ntotv = lx1*ly1*lz1*nelv
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| 64 | Tnorm = sqrt( glsc3(temp,BM1,temp,ntotv) /voltm1)
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| 65 | c
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| 66 | return
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| 67 | end
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| 68 | c--------------------------------------------
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| 69 | function dmnorm(v1,v2,v3,temp)
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| 70 | c Norm weighted by mass matrix
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| 71 | include 'SIZE'
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| 72 | include 'TOTAL'
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| 73 |
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| 74 | real v1(1),v2(1),v3(1),temp(1)
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| 75 | real normsq1,normsq2,normsq3,normsqT,dMnorm
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| 76 | common/normset/pran, ray, rayc
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| 77 |
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| 78 | ntotv=lx1*ly1*lz1*nelv
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| 79 | normsq1=(rayc)*glsc3(v1,BM1,v1,ntotv)
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| 80 | normsq2=(rayc)*glsc3(v2,BM1,v2,ntotv)
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| 81 | if(if3d) then
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| 82 | normsq3=(rayc)*glsc3(v3,BM1,v3,ntotv)
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| 83 | else
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| 84 | normsq3=0
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| 85 | endif
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| 86 |
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| 87 | if(ifheat) then
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| 88 | normsqT = (pran*ray*ray)*glsc3(temp,BM1,temp,ntotv)
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| 89 | else
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| 90 | normsqT = 0
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| 91 | endif
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| 92 |
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| 93 | dmnorm=sqrt((normsq1+normsq2+normsq3+normsqT)/volvm1)
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| 94 |
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| 95 | return
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| 96 | end
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| 97 |
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| 98 | c---------------------------------------------------------------
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| 99 | subroutine opscale(v1,v2,v3,temp,alpha)
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| 100 | c v = alpha*v
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| 101 | include 'SIZE'
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| 102 | include 'INPUT'
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| 103 |
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| 104 | real alpha
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| 105 | real v1(1),v2(1),v3(1),temp(1)
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| 106 |
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| 107 | ltotv=lx1*ly1*lz1*lelv
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| 108 | ltott=lx1*ly1*lz1*lelt
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| 109 |
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| 110 | call cmult(v1,alpha,ltotv)
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| 111 | call cmult(v2,alpha,ltotv)
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| 112 | if (if3d) call cmult(v3,alpha,ltotv)
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| 113 | if (ifheat) call cmult(temp,alpha,ltott*ldimt)
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| 114 |
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| 115 | return
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| 116 | end
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| 117 |
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| 118 | c---------------------------------------------------------------
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| 119 | subroutine opscaleV(v1,v2,v3,alpha)
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| 120 | c v = alpha*v
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| 121 | include 'SIZE'
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| 122 | include 'INPUT'
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| 123 | real alpha
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| 124 | real v1(*),v2(*),v3(*)
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| 125 |
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| 126 | ntotv=lx1*ly1*lz1*nelv
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| 127 |
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| 128 | call cmult(v1,alpha,ntotv)
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| 129 | call cmult(v2,alpha,ntotv)
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| 130 |
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| 131 | if (if3d) call cmult(v3,alpha,ntotv)
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| 132 | c
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| 133 | return
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| 134 | end
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| 135 |
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| 136 | c-----------------------------------------------------------------------
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| 137 | subroutine computelyap
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| 138 | include 'SIZE'
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| 139 | include 'TOTAL'
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| 140 |
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| 141 | do jpp=1,npert ! Loop through each Lyapunov eigenvalue
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| 142 | call computelyap1
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| 143 | $ (vxp(1,jpp),vyp(1,jpp),vzp(1,jpp),tp(1,1,jpp),jpp)
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| 144 | enddo
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| 145 |
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| 146 | return
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| 147 | end
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| 148 | c-----------------------------------------------------------------------
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| 149 |
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| 150 | subroutine computelyap1(vxq,vyq,vzq,tq,jpp)
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| 151 | include 'SIZE'
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| 152 | include 'TOTAL'
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| 153 |
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| 154 | real vxq(1),vyq(1),vzq(1),tq(1)
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| 155 | real lyapsum,twt
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| 156 | common /pertsave/ timestart,tinitial
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| 157 |
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| 158 | integer icount
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| 159 | save icount
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| 160 | data icount /0/
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| 161 |
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| 162 | logical if_restart,if_ortho_lyap
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| 163 | common/restar/if_restart,if_ortho_lyap
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| 164 |
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| 165 | character*132 lyprestart
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| 166 | common/restflename/lyprestart !file for restart data
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| 167 |
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| 168 | twt = param(126) !time to wait to start computing exponents
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| 169 |
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| 170 | if (nio.eq.0)
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| 171 | $ write(6,8) istep,icount,time,twt,(lyap(k,jpp),k=1,3),jpp
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| 172 | 8 format(i9,i4,2f8.4,1p3e12.4,i3,'clyap')
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| 173 |
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| 174 | if(time.lt.twt) then
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| 175 | c
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| 176 | c For a fresh simulation, then we wait 5 vertical diffusion
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| 177 | c times before we start measuring, so in this case just rescale
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| 178 | c
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| 179 | pertnorm = dmnorm(vxq,vyq,vzq,tq)
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| 180 | pertinvnorm = 1.0/pertnorm
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| 181 | call rescalepert(pertnorm,pertinvnorm,jpp)
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| 182 | lyap(3,jpp) = pertnorm !store latest norm
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| 183 | timestart = time
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| 184 | tinitial = time
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| 185 | icount = 0
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| 186 | return
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| 187 | else
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| 188 | if (jpp.eq.1) icount = icount + 1
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| 189 | endif
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| 190 |
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| 191 | irescale = param(128)
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| 192 | if (icount.eq.irescale) then
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| 193 |
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| 194 | lyapsum = lyap(2,jpp)
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| 195 | oldpertnorm = lyap(3,jpp)
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| 196 | pertnorm=dmnorm(vxq,vyq,vzq,tq)
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| 197 | c
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| 198 | lyap(1,jpp) = log(pertnorm/oldpertnorm)/(time-timestart)
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| 199 | lyapsum = lyapSum + log(pertnorm/oldpertnorm)
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| 200 | lyap(2,jpp) = lyapSum
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| 201 |
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| 202 | if(nid.eq.0) then ! write out results to the .lyp file
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| 203 |
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| 204 | write(6 ,1) istep,time,lyap(1,jpp),lyapsum,pertnorm,jpp
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| 205 | write(79,2) time,lyap(1,jpp),lyapsum,pertporm,oldpertnorm,jpp
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| 206 | 1 format(i9,1p4e17.8,i4,'lyap')
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| 207 | 2 format(1p5e17.8,i4,'lyap')
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| 208 | call flushbuffer(79)
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| 209 |
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| 210 | if (jpp.eq.1) open(unit=96,file=lyprestart)
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| 211 | write(96,9) lyapsum,timestart,timeinit,jpp
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| 212 | 9 format(1p3e19.11,i9)
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| 213 | if (jpp.eq.npert) close(96)
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| 214 | endif
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| 215 |
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| 216 | pertinvnorm = 1.0/pertnorm
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| 217 | call rescalepert(pertnorm,pertinvnorm,jpp)
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| 218 | lyap(3,jpp) = pertnorm !save current pertnorm as old pertnorm
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| 219 |
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| 220 | if (jpp.eq.npert) then
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| 221 | icount = 0
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| 222 | timestart = time
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| 223 | endif
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| 224 |
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| 225 | if_ortho_lyap = .false.
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| 226 | if (param(125).gt.0) if_ortho_lyap = .true.
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| 227 | if (jpp.eq.npert .and. if_ortho_lyap) call pert_ortho_norm
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| 228 |
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| 229 | endif
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| 230 |
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| 231 | return
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| 232 | end
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| 233 | c-----------------------------------------------------------------------
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| 234 |
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| 235 | subroutine rescalepert(pertnorm,pertinvnorm,jpp)
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| 236 | include 'SIZE'
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| 237 | include 'TOTAL'
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| 238 |
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| 239 | ntotp = lx2*ly2*lz2*nelv
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| 240 |
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| 241 | call opscale !normalize vectors to unit norm
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| 242 | $ (vxp(1,jpp),vyp(1,jpp),vzp(1,jpp),tp(1,1,jpp),pertinvnorm)
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| 243 | call cmult(prp(1,jpp),pertinvnorm,ntotp)
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| 244 |
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| 245 | call opscale(exx1p(1,jpp),exy1p(1,jpp),exz1p(1,jpp)
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| 246 | $ ,vgradt1p(1,1,jpp),pertinvnorm)
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| 247 | call opscale(exx2p(1,jpp),exy2p(1,jpp),exz2p(1,jpp)
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| 248 | $ ,vgradt2p(1,1,jpp),pertinvnorm)
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| 249 |
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| 250 | ltotv = lx1*ly1*lz1*lelv
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| 251 | ltotp = lx2*ly2*lz2*lelv
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| 252 |
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| 253 | call cmult( tlagp(1,1,1,jpp),pertinvnorm,ltotv*(lorder-1)*ldimt)
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| 254 | call cmult(vxlagp(1,1,jpp),pertinvnorm,ltotv*(lorder-1))
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| 255 | call cmult(vylagp(1,1,jpp),pertinvnorm,ltotv*(lorder-1))
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| 256 | call cmult(vzlagp(1,1,jpp),pertinvnorm,ltotv*(lorder-1))
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| 257 | call cmult(prlagp(1,1,jpp),pertinvnorm,ltotp*(Lorder-2))
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| 258 |
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| 259 | if (nio.eq.0) write(6,1) istep,pertnorm,pertinvnorm,jpp,'PNORM'
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| 260 | 1 format(i4,1p2e12.4,i4,a5)
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| 261 | pertnorm = pertnorm*pertinvnorm
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| 262 |
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| 263 | return
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| 264 | end
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| 265 | c-----------------------------------------------------------------------
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| 266 | subroutine initialize
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| 267 | INCLUDE 'SIZE'
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| 268 | INCLUDE 'TOTAL'
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| 269 |
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| 270 | do jpp = 1,npert
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| 271 | call initialize1(jpp)
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| 272 | enddo
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| 273 |
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| 274 | return
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| 275 | end
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| 276 | c----------------------------------------------------------------------
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| 277 | subroutine initialize1(jpp)
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| 278 | INCLUDE 'SIZE'
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| 279 | INCLUDE 'TOTAL'
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| 280 |
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| 281 | real tmp(4),lyapSum,timeStart
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| 282 | common/pertsave/timeStart,tinitial
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| 283 | common/normset/pran,ray,rayc
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| 284 | character*1 lyp(4),sch(5)
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| 285 | character*4 lyp4
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| 286 | character*5 sch5
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| 287 | character*7 lypres,lypold
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| 288 | CHARACTER*1 SESS1(132),PATH1(132),NAM1(132)
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| 289 | EQUIVALENCE (SESSION,SESS1)
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| 290 | EQUIVALENCE (PATH,PATH1)
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| 291 | EQUIVALENCE (NAME,NAM1)
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| 292 | equivalence (lyp,lyp4)
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| 293 | equivalence (sch,sch5)
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| 294 | data lyp4 /'.lyp'/
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| 295 | data sch5 /'.schp'/
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| 296 | data lypold /'.lypold'/
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| 297 | data lypres /'.lypsum'/
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| 298 | character*132 lypfile,lypfileold,lyprestart,lypsch
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| 299 | common/restflename/lyprestart !file where restart data is written
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| 300 | logical if_restart
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| 301 | common/restar/if_restart
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| 302 | logical ifdebug
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| 303 | common/debug/ ifdebug
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| 304 |
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| 305 | ntotv = lx1*ly1*lz1*nelv
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| 306 | ntotp = lx2*ly2*lz2*nelv
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| 307 | nconv_max = nbdinp
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| 308 | nconv = nconv_max
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| 309 | nconv = 1
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| 310 | nprex = 0
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| 311 | nprex_max = max(0,nbdinp-2)
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| 312 |
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| 313 | nr = lx1-1
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| 314 | ns = ly1-1
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| 315 | nt = lz1-1
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| 316 |
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| 317 | if(param(31).eq.0) return !param(31) is number of exponents
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| 318 |
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| 319 | tinitial = time
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| 320 |
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| 321 | call opzero(bfxp(1,jpp),bfyp(1,jpp),bfzp(1,jpp))
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| 322 |
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| 323 | itmp = lx1*ly1*lz1*lelv*(lorder-1)
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| 324 |
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| 325 | call rzero(vxlagp(1,1,jpp),itmp)
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| 326 | call rzero(vylagp(1,1,jpp),itmp)
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| 327 | if(if3d) call rzero(vzlagp(1,1,jpp),itmp)
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| 328 | if(ifheat) call rzero(tlagp (1,1,1,jpp),itmp*LdimT)
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| 329 |
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| 330 | call opzero(exx1p(1,jpp),exy1p(1,jpp),exz1p(1,jpp))
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| 331 | call opzero(exx2p(1,jpp),exy2p(1,jpp),exz2p(1,jpp))
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| 332 |
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| 333 | pertvnorm = sqrt(rayc)*opnorm2(vxp(1,jpp),vyp(1,jpp),vzp(1,jpp))
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| 334 | perttnorm = sqrt(pran*ray*ray)*tnorm(tp(1,1,jpp))
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| 335 | pertnorm = sqrt(pertvnorm**2+perttnorm**2)
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| 336 |
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| 337 | if(param(64).ne.1) then !fresh start, param(64) is restart flag
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| 338 | call opzero(vxp(1,jpp),vyp(1,jpp),vzp(1,jpp))
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| 339 | call rzero(tp(1,1,jpp),ntotv)
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| 340 | call get_useric
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| 341 | if_restart = .false.
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| 342 | call rzero(lyap(1,jpp),3)
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| 343 | else
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| 344 | if(nio.eq.0) write(6,*)jpp,'norm of pert IC=',pertnorm
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| 345 | if_restart = .true.
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| 346 | pertInvNorm = 1.0/pertNorm
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| 347 | call rescalepert(pertnorm,pertinvnorm,jpp)
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| 348 | if(nio.eq.0) write(6,*) jpp,'Rescaled the perturbation'
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| 349 | call rzero(lyap(1,jpp),3)
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| 350 | lyap(3,jpp) = pertnorm
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| 351 | endif
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| 352 | c
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| 353 | ifdebug=.false.
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| 354 |
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| 355 | c opening the lyp file in unit=79
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| 356 |
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| 357 | call blank(lypfile,132)
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| 358 | call blank(lypfileold,132)
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| 359 | call blank(lyprestart,132)
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| 360 | call blank(lypsch,132)
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| 361 |
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| 362 | ls = ltrunc(session,132)
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| 363 | lpp = ltrunc(path,132)
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| 364 |
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| 365 | call chcopy(nam1( 1),path1,lpp)
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| 366 | call chcopy(nam1(lpp+1),sess1,ls )
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| 367 | l1 = lpp+ls+1
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| 368 | ln = lpp+ls+4
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| 369 |
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| 370 | call chcopy(nam1 (l1),lyp , 4)
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| 371 | call chcopy(lypfile ,nam1,ln)
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| 372 |
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| 373 | lns = lpp+ls+5
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| 374 | call chcopy(nam1 (l1),sch , 5)
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| 375 | call chcopy(lypsch ,nam1,lns)
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| 376 |
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| 377 | ln2 = lpp+ls+7
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| 378 | call chcopy(nam1 (l1),lypold , 7)
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| 379 | call chcopy(lypfileold ,nam1,ln2)
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| 380 |
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| 381 | call chcopy(nam1 (l1),lypres , 7)
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| 382 | call chcopy(lyprestart ,nam1,ln2)
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| 383 |
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| 384 | if(nid.eq.0.and.jpp.eq.1) then
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| 385 | write(6,*) 'opening file ',lypfile
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| 386 | open(unit=79,file=lypfile,status='UNKNOWN')
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| 387 | write(79,5757) ! put a header on the lyp file
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| 388 | 5757 format(1x,"time",5x,"lyap",5x,"lyapsum",5x,"pertnorm",
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| 389 | & 5x,"oldpertnorm")
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| 390 |
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| 391 | write(6,*) 'opening file ',lypsch
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| 392 | open(unit=146,file=lypsch)
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| 393 | endif
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| 394 |
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| 395 | if(if_restart) then
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| 396 | if(nid.eq.0) then
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| 397 | if (jpp.eq.1) then
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| 398 | print*,'opening file ',lypfileold
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| 399 | open(unit=86,file=lypfileold,status='OLD')
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| 400 | endif
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| 401 | read(86,*) tmp(1) !lyapsum
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| 402 | read(86,*) tmp(2) !timeStart
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| 403 | if (jpp.eq.npert) close(86)
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| 404 | endif
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| 405 | len = 4*wdsize
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| 406 | call bcast(tmp,len) !broadcast to all cpus
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| 407 | lyapSum = tmp(1)
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| 408 | timeStart = tmp(2)
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| 409 | lyap(2,jpp) = lyapsum
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| 410 | print*,'nid,lyapsum,timestart=',nid,lyapSum,timestart,jpp
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| 411 | if(timeStart.gt.time) then
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| 412 | write(6,*) nid,' reporting! timestart.gt.time! time=',time
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| 413 | call exitt
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| 414 | endif
|
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| 415 | endif
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| 416 |
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| 417 | return
|
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| 418 | end
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| 419 | c------------------------------------------------------------------------
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| 420 |
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| 421 | subroutine get_useric
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| 422 | c
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| 423 | include 'SIZE'
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| 424 | include 'TOTAL'
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| 425 | include 'NEKUSE'
|
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| 426 | c
|
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| 427 | integer e,eg
|
|---|
| 428 | c
|
|---|
| 429 | do jp=1,npert
|
|---|
| 430 | l = 0
|
|---|
| 431 | do iel=1,nelv
|
|---|
| 432 | ielg = lglel(iel) ! Global element number
|
|---|
| 433 | do k=1,lz1
|
|---|
| 434 | do j=1,ly1
|
|---|
| 435 | do i=1,lx1
|
|---|
| 436 | l = l+1
|
|---|
| 437 | c call set_nekuse (l)
|
|---|
| 438 | call nekasgnp (i,j,k,iel,l)
|
|---|
| 439 | call useric (i,j,k,ielg)
|
|---|
| 440 | vxP(l,jp) = ux
|
|---|
| 441 | vyP(l,jp) = uy
|
|---|
| 442 | vzP(l,jp) = uz
|
|---|
| 443 | tP (l,1,jp) = temp
|
|---|
| 444 | enddo
|
|---|
| 445 | enddo
|
|---|
| 446 | enddo
|
|---|
| 447 | enddo
|
|---|
| 448 | enddo
|
|---|
| 449 | c
|
|---|
| 450 | return
|
|---|
| 451 | end
|
|---|
| 452 | c-----------------------------------------------------------------------
|
|---|
| 453 | subroutine out_pert ! dump perturbation .fld files
|
|---|
| 454 | c
|
|---|
| 455 | include 'SIZE'
|
|---|
| 456 | include 'TOTAL'
|
|---|
| 457 | include 'NEKUSE'
|
|---|
| 458 | c
|
|---|
| 459 | character*3 s3
|
|---|
| 460 | c
|
|---|
| 461 | do jpp=1,npert
|
|---|
| 462 | write(s3,3) jpp
|
|---|
| 463 | 3 format('p',i2.2)
|
|---|
| 464 | call outpost2
|
|---|
| 465 | $ (vxp(1,jpp),vyp(1,jpp),vzp(1,jpp),prp(1,jpp),tp(1,1,jpp),
|
|---|
| 466 | $ 1,s3)
|
|---|
| 467 | enddo
|
|---|
| 468 | c
|
|---|
| 469 | return
|
|---|
| 470 | end
|
|---|
| 471 | c-----------------------------------------------------------------------
|
|---|
| 472 | subroutine pert_add2s2(i,j,scale) ! xi = xi + scale * xj
|
|---|
| 473 | include 'SIZE'
|
|---|
| 474 | include 'TOTAL'
|
|---|
| 475 |
|
|---|
| 476 | ntotp = lx2*ly2*lz2*nelv
|
|---|
| 477 | ntotv = lx1*ly1*lz1*nelv
|
|---|
| 478 | ntott = lx1*ly1*lz1*nelt
|
|---|
| 479 |
|
|---|
| 480 | call add2s2(vxp(1,i),vxp(1,j),scale,ntotv)
|
|---|
| 481 | call add2s2(vyp(1,i),vyp(1,j),scale,ntotv)
|
|---|
| 482 | if (if3d) call add2s2(vzp(1,i),vzp(1,j),scale,ntotv)
|
|---|
| 483 | call add2s2(prp(1,i),prp(1,j),scale,ntotp)
|
|---|
| 484 |
|
|---|
| 485 | do l=1,lorder-1
|
|---|
| 486 | call add2s2(vxlagp(1,l,i),vxlagp(1,l,j),scale,ntotv)
|
|---|
| 487 | call add2s2(vylagp(1,l,i),vylagp(1,l,j),scale,ntotv)
|
|---|
| 488 | if (if3d) call add2s2(vzlagp(1,l,i),vzlagp(1,l,j),scale,ntotv)
|
|---|
| 489 | call add2s2(prlagp(1,l,i),prlagp(1,l,j),scale,ntotp)
|
|---|
| 490 | enddo
|
|---|
| 491 |
|
|---|
| 492 | call add2s2(exx1p(1,i),exx1p(1,j),scale,ntotv)
|
|---|
| 493 | call add2s2(exy1p(1,i),exy1p(1,j),scale,ntotv)
|
|---|
| 494 | if (if3d) call add2s2(exz1p(1,i),exz1p(1,j),scale,ntotv)
|
|---|
| 495 |
|
|---|
| 496 | call add2s2(exx2p(1,i),exx2p(1,j),scale,ntotv)
|
|---|
| 497 | call add2s2(exy2p(1,i),exy2p(1,j),scale,ntotv)
|
|---|
| 498 | if (if3d) call add2s2(exz2p(1,i),exz2p(1,j),scale,ntotv)
|
|---|
| 499 |
|
|---|
| 500 | if (ifheat) then
|
|---|
| 501 | do k=0,npscal
|
|---|
| 502 | k1=k+1
|
|---|
| 503 | ntotk = lx1*ly1*lz1*nelfld(k+2)
|
|---|
| 504 | call add2s2(tp(1,k1,i),tp(1,k1,j),scale,ntotk)
|
|---|
| 505 | do l=1,lorder-1
|
|---|
| 506 | call add2s2(tlagp(1,l,k1,i),tlagp(1,l,k1,j),scale,ntotk)
|
|---|
| 507 | enddo
|
|---|
| 508 | call add2s2(vgradt1p(1,k1,i),vgradt1p(1,k1,j),scale,ntotk)
|
|---|
| 509 | call add2s2(vgradt2p(1,k1,i),vgradt2p(1,k1,j),scale,ntotk)
|
|---|
| 510 | enddo
|
|---|
| 511 | endif
|
|---|
| 512 |
|
|---|
| 513 | return
|
|---|
| 514 | end
|
|---|
| 515 | c-----------------------------------------------------------------------
|
|---|
| 516 | function pert_inner_prod(i,j) ! weighted inner product vi^T vj
|
|---|
| 517 | include 'SIZE'
|
|---|
| 518 | include 'TOTAL'
|
|---|
| 519 |
|
|---|
| 520 | common/normset/pran, ray, rayc
|
|---|
| 521 |
|
|---|
| 522 | ntotv=lx1*ly1*lz1*nelv
|
|---|
| 523 | ntott=lx1*ly1*lz1*nelt
|
|---|
| 524 |
|
|---|
| 525 | s1 = rayc*glsc3(vxp(1,i),bm1,vxp(1,j),ntotv)
|
|---|
| 526 | s2 = rayc*glsc3(vyp(1,i),bm1,vyp(1,j),ntotv)
|
|---|
| 527 | s3 = 0
|
|---|
| 528 | if (if3d) s3 = rayc*glsc3(vzp(1,i),bm1,vzp(1,j),ntotv)
|
|---|
| 529 |
|
|---|
| 530 | t1 = 0
|
|---|
| 531 | if (ifheat) t1=pran*ray*ray*glsc3(tp(1,1,i),bm1,tp(1,1,j),ntott)
|
|---|
| 532 |
|
|---|
| 533 | pert_inner_prod = (s1+s2+s3+t1)/volvm1
|
|---|
| 534 |
|
|---|
| 535 | return
|
|---|
| 536 | end
|
|---|
| 537 | c-----------------------------------------------------------------------
|
|---|
| 538 | subroutine pert_ortho_norm ! orthogonalize and rescale pert. arrays
|
|---|
| 539 | include 'SIZE'
|
|---|
| 540 | include 'TOTAL'
|
|---|
| 541 |
|
|---|
| 542 | do k=1,npert
|
|---|
| 543 | call pert_ortho_norm1(k)
|
|---|
| 544 | enddo
|
|---|
| 545 |
|
|---|
| 546 | return
|
|---|
| 547 | end
|
|---|
| 548 | c-----------------------------------------------------------------------
|
|---|
| 549 | subroutine pert_ortho_norm1 (k) ! orthogonalize k against 1...k-1
|
|---|
| 550 | include 'SIZE'
|
|---|
| 551 | include 'TOTAL'
|
|---|
| 552 |
|
|---|
| 553 | do j=1,k-1
|
|---|
| 554 | scale = -pert_inner_prod(j,k)
|
|---|
| 555 | call pert_add2s2(k,j,scale) ! xi = xi + scale * xj
|
|---|
| 556 | enddo
|
|---|
| 557 | scale = pert_inner_prod(k,k)
|
|---|
| 558 | if (scale.gt.0) scale = 1./scale
|
|---|
| 559 | call rescalepert(pertnorm,scale,k)
|
|---|
| 560 |
|
|---|
| 561 | return
|
|---|
| 562 | end
|
|---|
| 563 | c-----------------------------------------------------------------------
|
|---|