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ADVTKD.F
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C############################################################################
c #
c SUBROUTINE PROGRAM #
C VERSION 1.0 (16/02/2011) #
C AUTHORIZED BY ZHANG JINGXIN #
C SHANGHAI JIAO TONG UNIVERSITY #
C SHANGHAI, CHINA #
c---------------------------------------------------------------------------#
c computes the advective,Coriolis,horizontal dispersive terms in the #
c momentum equation of u #
c #
c############################################################################
Subroutine ADVTKD(SGS,F1,S1,GRADX,GRADY,GRADZ)
Include './Include/OCERM_INF'
Common/VISW/VISSOURCE(IJM,KB),DISSMARK(IJM,KB)
Parameter (TINT = 0.05, DESTYPE = 1, CW = 0.15)
Parameter(BETASTAR=0.09,FKAPA=0.41)
Parameter(SIGMAK1=0.85, SIGMAO1=0.5, BETA1=0.075, A1=0.31,
& GAMA1=BETA1/BETASTAR-SIGMAO1*FKAPA**2./Sqrt(BETASTAR))
Parameter(SIGMAK2=1.0, SIGMAO2=0.856, BETA2=0.0828,
& GAMA2=BETA2/BETASTAR-SIGMAO2*FKAPA**2./Sqrt(BETASTAR))
Parameter(CFW=3.5,AIFA=5./9.)
Dimension HQ(IJE,KB),VQ(IJM,KB),SGS(IJM,KB),F1(IJM,KB),S1(IJM,KB)
Dimension TEMP(KBM),VISCOE(IJM,KB),VAR_T(IJM,-1:KB+1)
Dimension GRADX(IJM,KB),GRADY(IJM,KB),GRADZ(IJM,KB)
c===========================================================================c
c initialiing arrays c
c===========================================================================c
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(I,K)
Do K = 1, KB
!$OMP DO
Do I = 1, IJM
VISF(I,K) = 0.0
VISCOE(I,K) = F1(I,K) * SIGMAO1 + (1. - F1(I,K)) * SIGMAO2
VISSOURCE(I,K) = 0.0
DISSMARK(I,K) = 1.0
Enddo
!$OMP END DO NOWAIT
!$OMP DO
Do I = 1, IJE
HQ(I,K) = 0.0
Enddo
!$OMP END DO NOWAIT
!$OMP DO
Do I = 1, IJM
VQ(I,K) = 0.0
Enddo
!$OMP END DO NOWAIT
Enddo
!$OMP DO
Do I = 1, IJM
Do K = 1, KBM
VAR_T(I,K) = TDISS(I,K)
Enddo
VAR_T(I,0) = 2. * TDISS(I,1) - TDISS(I,2)
VAR_T(I,-1) = VAR_T(I,0)
C VAR_T(I,KB) = TDISS(I,KBM)
VAR_T(I,KB) = 60. * UMOL / BETA1 /
& (DC(I) * DZZ(KBM)) ** 2.
VAR_T(I,KB+1) = TDISS(I,KBM)
Enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
If(IWENOSCHEME .NE. 0) Then
Do K = 1, KBM
Do I = -1, NUM_GHOST, -1
QGHOST(I,K) = TDISS(INDEX_GHOST(I),K)
Enddo
Enddo
Endif
C============================================================================c
c TVD schemes for the calculation of convective fluxes c
c============================================================================c
Call TVDSCHEMEH(HQ,TDISS,GRADX,GRADY,IH_TVD)
Call TVDSCHEMEV(VQ,TDISS,VAR_T,GRADZ,IV_TVD)
c============================================================================c
C Advection Descrization by 2nd Order TVD c
c============================================================================c
!$OMP PARALLEL DEFAULT(SHARED)
!$OMP& PRIVATE(I,J,K,XX,FV1,FV2,FV3,FT2,D1,D2,HMAX,HWN,M,N,
!$OMP& SLOWERPART1,SLOWERPART2,SLOWER,DTIDLE,STIDLE,R,DIVXVIS,
!$OMP& DIVYVIS,DIVZVIS,AAMF,FLUX1,FLUX2,FD,RDT,FT,FL,FE2,
!$OMP& ALF1,FE1,FE,FB,FDT,FDITDLE,G,FW,ID,IS,ZDES,D2MAX,TTTT,
!$OMP& TW_STAR, UW_STAR, RKS_PLUS, TDISS_PLUS,YP,TDIFF_WALL)
If (ADVECT.EQ.'NON-LINEAR') Then
c----------------------------------------------------------------------------c
c horizontal advective terms c
c----------------------------------------------------------------------------c
Do K = 1, KBM
!$OMP DO
Do I = 1, IJM
If(CCM(I) .EQ. 1.0) Then
Do J = 1, CELL_POLYGEN(I)
If(CFM(CELL_SIDE(I,J,1)) .EQ. 1.0) Then
VISF(I,K) = VISF(I,K) + DZ(K) *
& HQ(CELL_SIDE(I,J,1),K) * CELL_CUV(I,J,6) *
& (UN(CELL_SIDE(I,J,1),K) * CELL_CUV(I,J,7) +
& VN(CELL_SIDE(I,J,1),K) * CELL_CUV(I,J,8))
Endif
Enddo
Endif
Enddo
!$OMP END DO NOWAIT
Enddo
!$OMP BARRIER
c----------------------------------------------------------------------------c
c vertical advective terms c
c----------------------------------------------------------------------------c
Do K = 1, KBM
!$OMP DO
Do I = 1, IJM
If(CCM(I) .EQ. 1.0) Then
VISF(I,K) = -VISF(I,K) - AREA(I) *
& (VQ(I,K) * W(I,K) - VQ(I,K+1) * W(I,K+1))
Endif
Enddo
!$OMP END DO NOWAIT
Enddo
!$OMP BARRIER
Endif
c============================================================================c
C Horizontal Diffusion Descrization by CS c
c============================================================================c
Do K = 1, KBM
!$OMP DO
Do I = 1, IJM
If(CCM(I) .EQ. 1.0) Then
Do J = 1, CELL_POLYGEN(I)
FLUX1 = 0.0
FLUX2 = 0.0
If(CFM(CELL_SIDE(I,J,1)) .EQ. 1.0) Then
AAMF = UMOL + (AAM(I,K) + AAM(CELL_SIDE(I,J,2),K)) / 2. *
& (VISCOE(I,K) + VISCOE(CELL_SIDE(I,J,2),K))/2.
FLUX1 = (DISCOE(I,J,1) - DISCOE(I,J,8))* AAMF *
& (TDISS(CELL_SIDE(I,J,2),K) - TDISS(I,K))
FLUX2 = (DISCOE(I,J,7) - DISCOE(I,J,2)) * AAMF*
& (TDISSV(CELL_SIDE(I,J,4),K) -
& TDISSV(CELL_SIDE(I,J,3),K))
VISF(I,K) = VISF(I,K) + (FLUX1 + FLUX2) * DZ(K)
Endif
If(CFM(CELL_SIDE(I,J,1)) .EQ. 0.0 .OR.
& CFM(CELL_SIDE(I,J,1)) .EQ. -1.0) Then
If(ISLIP .EQ. 0) Then !Wall function
AAMF = UMOL + AAM(I,K) * VISCOE(I,K)
YP = D2D(I)
TDIFF_WALL = Sqrt(TKE(I,K))/Sqrt(0.3)/0.41/YP
FLUX1 = (DISCOE(I,J,1) - DISCOE(I,J,8)) * AAMF *
& (TDIFF_WALL - TDISS(I,K))
VISF(I,K) = VISF(I,K) + FLUX1 * DZ(K)
C FLUX1 = (DISCOE(I,J,1) - DISCOE(I,J,8)) * AAMF *
C & (60.*UMOL/BETA1/(AREA(I)/ACOS(-1.))-TDISS(I,K))
VISF(I,K) = VISF(I,K) + FLUX1 * DZ(K)
Endif
Endif
If(CFM(CELL_SIDE(I,J,1)) .EQ. -2.0) Then
C-------------------------BC of TDISS at wall(by WangJian)------------------------
IF (IBC_TDISS_WALL == 1) THEN
TDIFF_WALL = 60.*UMOL/BETA1/(D2D(I)**2.0)
ELSEIF (IBC_TDISS_WALL == 2) THEN !#Another formula#, WangJian, 2020-3-12¡¤ !
TW_STAR = 2.*UMOL*1000.*(CELL_CUV(I,J,8)*(STRESS(I,K,1)
& +0.5*STRESS(I,K,2) + 0.5*STRESS(I,K,4)
& +0.5*STRESS(I,K,3) + 0.5*STRESS(I,K,7))
& -CELL_CUV(I,J,7)*(STRESS(I,K,5)
& +0.5*STRESS(I,K,2) + 0.5*STRESS(I,K,4)
& +0.5*STRESS(I,K,6) + 0.5*STRESS(I,K,8)))
UW_STAR = SQRT(ABS(TW_STAR/1000.0))
RKS_PLUS = MAX(1.0, RKS*UW_STAR/UMOL)
IF (RKS_PLUS.LT.25.0)THEN
TDISS_PLUS = MIN( (50.0/RKS_PLUS)**2 ,
& 6.0/0.09/(D2D(I)*UW_STAR/UMOL)**2)
ELSE
TDISS_PLUS = MIN( 100.0/RKS_PLUS ,
& 6.0/0.09/(D2D(I)*UW_STAR/UMOL)**2)
ENDIF
TDIFF_WALL = MAX(1.0E-10,
& TW_STAR*TDISS_PLUS/(UMOL*1000.))
ENDIF
C--------------------------BC of TDISS at wall---------------------------
AAMF = UMOL + AAM(I,K) * VISCOE(I,K)
FLUX1 = (DISCOE(I,J,1) - DISCOE(I,J,8)) * AAMF*
& (TDIFF_WALL - TDISS(I,K))
VISF(I,K) = VISF(I,K) + FLUX1 * DZ(K)
Endif
Enddo
Endif
Enddo
!$OMP END DO NOWAIT
Enddo
!$OMP BARRIER
C============================================================================C
c source and sink terms c
C============================================================================C
!$OMP DO
Do I = 1, IJM
If(CCM(I) .EQ. 1.0) Then
Do K = 1, KBM
!!!##################################################################!!!
!!! Feature :The crossdiffusion is computed implicitly.
!!! UpdatedBy :WangJian
!!! UpdatedDate:2019-12-2 21:54:22
!!!##################################################################!!!
c-----S1/VIS is relataed to the equation, good for FUN3, bad for FUN1.
c-----S1/(VIS+UMOL) is treated numerically, good for FUN1, bad for FUN3.
c VISF(I,K) = VISF(I,K) + ((F1(I,K)*GAMA1+(1.-F1(I,K))*GAMA2)
c & * S1(I,K) / (VIS(I,K)+umol) + SGS(I,K))
c & * AREA(I) * DZ(K)+abs(SGS(I,K))* AREA(I) * DZ(K)
c VISSOURCE(I,K) = (F1(I,K)*BETA1+(1.-F1(I,K))*BETA2) *
c & TDISS(I,K)+abs(SGS(I,K))/(TDISS(I,K)+1.E-10)
c-----!The production of w is computed implicitly-----------------------
VISF(I,K) = VISF(I,K) + 2. * SGS(I,K) * AREA(I) * DZ(K)
VISSOURCE(I,K) = -(F1(I,K)*GAMA1+(1.-F1(I,K))*GAMA2) *
& S1(I,K) / (TKE(I,K) + 1.E-10) +
& (F1(I,K)*BETA1+(1.-F1(I,K))*BETA2) *
& TDISS(I,K)+(SGS(I,K))/(TDISS(I,K)+1.E-10)
Enddo
Endif
Enddo
!$OMP END DO
If(POREMODULE .EQ. 'INCLUDE' .AND. DEM .EQ. 'NEGLECT') Then
!$OMP DO
Do I =1,IJM
If(CCM(I).EQ.1.0)Then
Do K=1,KBM
If(PORE(I,K) .NE. 1.0)Then
C VISF(I,K) = VISF(I,K) + AREA(I) * DZ(K)*
C & TDISS(I,K) / (TKE(I,K)+1.E-6) * AIFA * CFW *
C & 1. / 2. * APU * CDC*
C & Sqrt(UR(I,K) ** 2. + VR(I,K) ** 2. + WR(I,K) ** 2.) *
C & (UR(I,K)** 2. + VR(I,K)**2 +WR(I,K)** 2.)
VISF(I,K) = VISF(I,K) + AREA(I) * DZ(K)*
& TDISS(I,K)* CFW *
& 1. / 2. * APU(I,K) * CDC*
& Sqrt(UR(I,K) ** 2. + VR(I,K) ** 2. + WR(I,K) ** 2.)
! & (UR(I,K)** 2. + VR(I,K)**2 +WR(I,K)** 2.)
Endif
Enddo
Endif
Enddo
!$OMP END DO
Endif
If(DEM .NE. 'NEGLECT' .AND. I_PTF .NE. 0) Then
!$OMP DO
Do I =1,IJM
If(CCM(I) .EQ. 1.0)Then
Do K=1,KBM
!If (PORE(I,K) .NE. 1.0) Then
VISF(I,K) = VISF(I,K) + AREA(I) * DZ(K) * STDISSDEM(I,K)
!Endif
Enddo
Endif
Enddo
!$OMP END DO
Endif
!$OMP BARRIER
c============================================================================c
c open boundary treatments c
c============================================================================c
!$OMP MASTER
C----- elevation boundary condition
If(NUMEBC .NE. 0) Then
Do N = 1, NUMEBC
ID = IEBC(N)
IS = IEBCINX(N)
Do K = 1, KBM
VISF(ID,K) = 0.0
UNEBC = UR(ID,K) * CELL_CUV(ID,IS,7) +
& VR(ID,K) * CELL_CUV(ID,IS,8)
Do J = 1, CELL_POLYGEN(ID)
If(CFM(CELL_SIDE(ID,J,1)) .EQ. 1.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) *
& HQ(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,6) *
& (UN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,7) +
& VN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,8))
Endif
Enddo
If(UNEBC .GT. 0.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& TDISS(ID,K) * UNEBC
Else
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& UNEBC * TDISSE(N)
Endif
VISSOURCE(ID,K) = 0.0
DISSMARK(ID,K) = 0.0
Enddo
Enddo
Endif
C----- astrotidal boundary condition
If(NUMAST .NE. 0) Then
Do N = 1, NUMAST
ID = IABC(N)
IS = IABCINX(N)
Do K = 1, KBM
VISF(ID,K) = 0.0
UNAST = UR(ID,K) * CELL_CUV(ID,IS,7) +
& VR(ID,K) * CELL_CUV(ID,IS,8)
Do J = 1, CELL_POLYGEN(ID)
If(CFM(CELL_SIDE(ID,J,1)) .EQ. 1.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) *
& HQ(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,6) *
& (UN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,7) +
& VN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,8))
Endif
Enddo
If(UNAST .GT. 0.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& TDISS(ID,K) * UNAST
Else
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& UNAST * Sqrt(1.5) * DC(ID) * DZ(K) *
& UNAST * TINT
Endif
VISSOURCE(ID,K) = 0.0
Enddo
Enddo
Endif
c----- discharge boundary condition
If(NUMQBC .NE. 0) Then
Call BCOND(3)
Do N = 1, NUMQBC
ID = IQBC(N)
IS = IQBCINX(N)
ISS = CELL_SIDE(ID,IS,1)
Do K = 1, KBM
VISF(ID,K) = 0.0
UNQBC = UN(ISS,K) * CELL_CUV(ID,IS,7) +
& VN(ISS,K) * CELL_CUV(ID,IS,8)
Do J = 1, CELL_POLYGEN(ID)
If(CFM(CELL_SIDE(ID,J,1)) .EQ. 1.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) *
& HQ(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,6) *
& (UN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,7) +
& VN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,8))
Endif
Enddo
If(UNQBC .GT. 0.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& TDISS(ID,K) * UNQBC
Else
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& UNQBC * TDISSQ(N,K)
C PRINT*, TDISSQ(N,K),UNQBC
C & Sqrt(1.5) * Abs(UNQBC) * TINT /
C & (DC(ID) * (1. + ZZ(K))) / Sqrt(0.3)
Endif
VISSOURCE(ID,K) = 0.0
DISSMARK(ID,K) = 0.0
Enddo
Enddo
Endif
C----- velocity boundary condition
If(NUMVBC .NE. 0) Then
Do N = 1, NUMVBC
ID = IVBC(N)
IS = IVBCINX(N)
Do K = 1, KBM
VISF(ID,K) = 0.0
UNVBC = UN(CELL_SIDE(ID,IS,1),K) * CELL_CUV(ID,IS,7) +
& VN(CELL_SIDE(ID,IS,1),K) * CELL_CUV(ID,IS,8)
Do J = 1, CELL_POLYGEN(ID)
If(CFM(CELL_SIDE(ID,J,1)) .EQ. 1.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) *
& HQ(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,6) *
& (UN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,7) +
& VN(CELL_SIDE(ID,J,1),K) * CELL_CUV(ID,J,8))
Endif
Enddo
If(UNVBC .GT. 0.0) Then
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& TDISS(ID,K) * UNVBC
Else
VISF(ID,K) = VISF(ID,K) - DZ(K) * CELL_CUV(ID,IS,6)*
& UNVBC *
& Sqrt(1.5) * Abs(UNVBC) * TINT /
& (DC(ID) * (1. + ZZ(K))) / Sqrt(0.3)
Endif
VISSOURCE(ID,K) = 0.0
Enddo
Enddo
Endif
!$OMP END MASTER
!$OMP BARRIER
C============================================================================C
C Step forward in time C
C============================================================================C
C PRINT*, (TDISS(33634,K),K=1,KBM)
C STOP
Do K = 1, KBM
!$OMP DO
Do I = 1, IJM
If(CCM(I) .EQ. 1.0) Then
VISF(I,K) = TDISS(I,K) * AREA(I) * DZ(K) + DTI * VISF(I,K)
Endif
Enddo
!$OMP END DO
Enddo
!$OMP END PARALLEL
c====================== end subroutine program ============================C
Return
End