| 1 | C> @file ausm.f Riemann solvers and other rocflu miscellany
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| 2 | ! ******************************************************************************
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| 3 | !
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| 4 | ! Purpose: Compute convective fluxes using AUSM+ scheme.
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| 5 | !
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| 6 | ! Description: None.
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| 7 | !
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| 8 | ! Input:
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| 9 | ! nx x-component of face normal
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| 10 | ! ny y-component of face normal
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| 11 | ! nz z-component of face normal
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| 12 | ! nm Magnitude of face normal
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| 13 | ! fs Face speed
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| 14 | ! rl Density of left state
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| 15 | ! ul x-component of velocity of left state
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| 16 | ! vl y-component of velocity of left state
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| 17 | ! wl z-component of velocity of left state
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| 18 | ! Hl Total enthalpy of left state
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| 19 | ! al Speed of sound of left state
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| 20 | ! pl Pressure of left state
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| 21 | ! rr Density of right state
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| 22 | ! ur x-component of velocity of right state
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| 23 | ! vr y-component of velocity of right state
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| 24 | ! wr z-component of velocity of right state
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| 25 | ! pr Pressure of right state
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| 26 | ! Hr Total enthalpy of right state
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| 27 | ! ar Speed of sound of right state
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| 28 | !
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| 29 | ! Output:
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| 30 | ! flx Fluxes
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| 31 | ! vf Face velocities ! NOT USED IN CMT-NEK YET
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| 32 | !
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| 33 | ! Notes:
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| 34 | ! 1. Liou M.-S., Progress towards an improved CFD method: AUSM+, AIAA Paper
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| 35 | ! 95-1701, 1995
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| 36 | ! 2. Do not use computation of face speed of sound which leads to exact
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| 37 | ! capturing of isolated normal shock waves because of robustness problems
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| 38 | ! for unsteady flows and because that formulation is not applicable to
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| 39 | ! anything but calorically and thermally perfect gases.
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| 40 | !
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| 41 | ! ******************************************************************************
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| 42 |
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| 43 | C> \ingroup isurf
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| 44 | C> @{
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| 45 | C> Computes inviscid numerical surface flux from AUSM+ Riemann solver
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| 46 | SUBROUTINE AUSM_FluxFunction(ntot,nx,ny,nz,nm,fs,rl,ul,vl,wl,pl,
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| 47 | > al,tl,rr,ur,vr,wr,pr,ar,tr,flx,el,er)
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| 48 |
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| 49 | ! IMPLICIT NONE ! HAHAHHAHHAHA
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| 50 | ! ******************************************************************************
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| 51 | ! Definitions and declarations
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| 52 | ! ******************************************************************************
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| 53 | real MixtJWL_Enthalpy
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| 54 | external MixtJWL_Enthalpy
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| 55 |
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| 56 | ! ==============================================================================
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| 57 | ! Arguments
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| 58 | ! ==============================================================================
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| 59 | integer ntot
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| 60 | REAL al(ntot),ar(ntot),fs(ntot),nm(ntot),nx(ntot),ny(ntot),
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| 61 | > nz(ntot),pl(ntot),pr(ntot),rl(ntot),rr(ntot),ul(ntot),
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| 62 | > ur(ntot),vl(ntot),vr(ntot),wl(ntot),wr(ntot),el(ntot),
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| 63 | > er(ntot),tl(ntot),tr(ntot)! INTENT(IN) ::
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| 64 | REAL flx(ntot,5)!,vf(3) ! INTENT(OUT) ::
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| 65 |
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| 66 | ! ==============================================================================
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| 67 | ! Locals
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| 68 | ! ==============================================================================
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| 69 |
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| 70 | REAL af,mf,mfa,mfm,mfp,ml,mla,mlp,mr,mra,mrm,pf,ql,qr,vml,vmr,
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| 71 | > wtl,wtr,Hl,Hr
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| 72 |
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| 73 | ! ******************************************************************************
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| 74 | ! Start, compute face state
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| 75 | ! ******************************************************************************
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| 76 |
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| 77 | do i=1,ntot
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| 78 | ! Change the Enthalpy
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| 79 | Hl = MixtJWL_Enthalpy(rl(i),pl(i),ul(i),vl(i),wl(i),el(i))
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| 80 | Hr = MixtJWL_Enthalpy(rr(i),pr(i),ur(i),vr(i),wr(i),er(i))
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| 81 |
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| 82 | ql = ul(i)*nx(i) + vl(i)*ny(i) + wl(i)*nz(i) - fs(i)
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| 83 | qr = ur(i)*nx(i) + vr(i)*ny(i) + wr(i)*nz(i) - fs(i)
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| 84 |
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| 85 | af = 0.5*(al(i)+ar(i)) ! NOTE not using original formulation, see note
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| 86 | ml = ql/af
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| 87 | mla = ABS(ml)
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| 88 |
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| 89 | mr = qr/af
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| 90 | mra = ABS(mr)
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| 91 |
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| 92 | IF ( mla .le. 1.0 ) THEN
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| 93 | mlp = 0.25*(ml+1.0)*(ml+1.0) + 0.125*(ml*ml-1.0)*(ml*ml-1.0)
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| 94 | wtl = 0.25*(ml+1.0)*(ml+1.0)*(2.0-ml) +
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| 95 | > 0.1875*ml*(ml*ml-1.0)*(ml*ml-1.0)
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| 96 | ELSE
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| 97 | mlp = 0.5*(ml+mla)
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| 98 | wtl = 0.5*(1.0+ml/mla)
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| 99 | END IF ! mla
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| 100 |
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| 101 | IF ( mra .le. 1.0 ) THEN
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| 102 | mrm = -0.25*(mr-1.0)*(mr-1.0)-0.125*(mr*mr-1.0)*(mr*mr-1.0)
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| 103 | wtr = 0.25*(mr-1.0)*(mr-1.0)*(2.0+mr) -
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| 104 | > 0.1875*mr*(mr*mr-1.0)*(mr*mr-1.0)
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| 105 | ELSE
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| 106 | mrm = 0.5*(mr-mra)
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| 107 | wtr = 0.5*(1.0-mr/mra)
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| 108 | END IF ! mla
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| 109 |
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| 110 | mf = mlp + mrm
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| 111 | mfa = ABS(mf)
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| 112 | mfp = 0.5*(mf+mfa)
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| 113 | mfm = 0.5*(mf-mfa)
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| 114 |
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| 115 | pf = wtl*pl(i) + wtr*pr(i)
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| 116 |
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| 117 | ! ******************************************************************************
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| 118 | ! Compute fluxes
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| 119 | ! ******************************************************************************
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| 120 |
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| 121 | ! vf(1) = mfp*ul + mfm*ur ! I'm sure we'll need this someday
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| 122 | ! vf(2) = mfp*vl + mfm*vr
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| 123 | ! vf(3) = mfp*wl + mfm*wr
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| 124 |
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| 125 | flx(i,1)=(af*(mfp*rl(i) +mfm*rr(i) ) )*nm(i)
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| 126 | flx(i,2)=(af*(mfp*rl(i)*ul(i)+mfm*rr(i)*ur(i))+pf*nx(i))*
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| 127 | > nm(i)
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| 128 | flx(i,3)=(af*(mfp*rl(i)*vl(i)+mfm*rr(i)*vr(i))+pf*ny(i))*
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| 129 | > nm(i)
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| 130 | flx(i,4)=(af*(mfp*rl(i)*wl(i)+mfm*rr(i)*wr(i))+pf*nz(i))*
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| 131 | > nm(i)
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| 132 | flx(i,5)=(af*(mfp*rl(i)*Hl +mfm*rr(i)*Hr) + pf*fs(i))*
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| 133 | > nm(i)
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| 134 | enddo
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| 135 | C> @}
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| 136 | return
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| 137 | END
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| 138 |
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| 139 | !-----------------------------------------------------------------------
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| 140 | ! NOT LONG FOR THIS WORLD
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| 141 |
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| 142 | SUBROUTINE CentralInviscid_FluxFunction(ntot,nx,ny,nz,fs,ul,pl,
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| 143 | > ur,pr,flx)
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| 144 | ! JH081915 More general, more obvious
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| 145 | ! JH111815 HEY GENIUS THIS MAY BE SECOND ORDER AND THUS KILLING YOUR
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| 146 | ! CONVERGENCE. REPLACE WITH AUSM AND SHITCAN IT
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| 147 | ! JH112015 This isn't why walls aren't converging. There's something
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| 148 | ! inherently second-order about your wall pressure. Think!
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| 149 | real nx(ntot),ny(ntot),nz(ntot),fs(ntot),ul(ntot,5),pl(ntot),
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| 150 | > ur(ntot,5),pr(ntot) ! intent(in)
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| 151 | real flx(ntot,5)! intent(out),dimension(5) ::
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| 152 |
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| 153 | do i=1,ntot
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| 154 | rl =ul(i,1)
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| 155 | rul=ul(i,2)
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| 156 | rvl=ul(i,3)
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| 157 | rwl=ul(i,4)
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| 158 | rel=ul(i,5)
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| 159 |
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| 160 | rr =ur(i,1)
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| 161 | rur=ur(i,2)
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| 162 | rvr=ur(i,3)
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| 163 | rwr=ur(i,4)
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| 164 | rer=ur(i,5)
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| 165 |
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| 166 | ql = (rul*nx(i) + rvl*ny(i) + rwl*nz(i))/rl - fs(i)
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| 167 | qr = (rur*nx(i) + rvr*ny(i) + rwr*nz(i))/rr - fs(i)
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| 168 |
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| 169 | flx(i,1) = 0.5*(ql* rl+ qr*rr )
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| 170 | flx(i,2) = 0.5*(ql* rul+pl(i)*nx(i) + qr* rur +pr(i)*nx(i))
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| 171 | flx(i,3) = 0.5*(ql* rvl+pl(i)*ny(i) + qr* rvr +pr(i)*ny(i))
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| 172 | flx(i,4) = 0.5*(ql* rwl+pl(i)*nz(i) + qr* rwr +pr(i)*nz(i))
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| 173 | flx(i,5) = 0.5*(ql*(rel+pl(i))+pl(i)*fs(i)+qr*(rer+pr(i))+
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| 174 | > pr(i)*fs(i))
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| 175 | enddo
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| 176 |
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| 177 | return
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| 178 | end
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