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UVFN.f90
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UVFN.f90
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!****************************************************************************
!
! Subroutine program: UVFN
! Date: 2024.09.30
! Detail: Interpolation of flow variables on the sides and vertices.
!
!****************************************************************************
Subroutine UVFN
Use NUM_VAR
Implicit None
Integer I,J,K,L,M,N,N1,N2
Integer IL,IR,ID,IE,IE2
Real(Kind=8) X1,Y1,X2,Y2,S11,S12,S13,S22,S23,S33, &
DIVUX,DIVUY,DIVUZ,DIVVX,DIVVY,DIVVZ,DIVWX,DIVWY,DIVWZ
Real(Kind=8) AC(IJM,KB),PRO_XI(IJE),PRO_ETA(IJE),ANTIDIFFU,ANTIDIFFV,UD,DISXI
!============================================================================
! Variables initialization
!============================================================================
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(I,K)
Do K = 1,KB
!$OMP DO
Do I = 1,IJM
AC(I,K) = 0
DELP(I,K,1) = 0
DELP(I,K,2) = 0
Enddo
!$OMP END DO
Enddo
!$OMP DO
Do I = 1,IJE
PRO_XI(I) = 0
PRO_ETA(I) = 0
Enddo
!$OMP END DO
!$OMP END PARALLEL
!============================================================================
! Anti-diffusion term correction (ELF)
!============================================================================
!$OMP PARALLEL DEFAULT(SHARED) &
!$OMP PRIVATE(I,J,K,IL,IR,DISXI,ANTIDIFFU,ANTIDIFFV, &
!$OMP X1,Y1,X2,Y2,S11,S12,S13,S22,S23,S33, &
!$OMP DIVUX,DIVUY,DIVUZ,DIVVX,DIVVY,DIVVZ,DIVWX,DIVWY,DIVWZ)
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
IL = INDEX_EDGE(I,1,1)
IR = INDEX_EDGE(I,1,2)
X1 = CXY(IL,1)
Y1 = CXY(IL,2)
X2 = CXY(IR,1)
Y2 = CXY(IR,2)
PRO_XI(I) = (X2 - X1) / Sqrt((X1 - X2)**2 + (Y1 - Y2)**2)
PRO_ETA(I) = (Y2 - Y1) / Sqrt((X1 - X2)**2 + (Y1 - Y2)**2)
Endif
Enddo
!$OMP END DO
!$OMP DO
Do I = 1,IJP
ELFV(I) = 0.0
Do J = 1,POINT_CELL(I)
If (CCM(INDEX_POINT(I,J)) == 1) Then
ELFV(I) = ELFV(I) + ELF(INDEX_POINT(I,J)) * RCOE(I,J)
Endif
Enddo
Enddo
!$OMP END DO
K = 1
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
DELP(I,K,1) = 0.0
DELP(I,K,2) = 0.0
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
DELP(I,K,1) = DELP(I,K,1) + (ELF(I) + ELF(CELL_SIDE(I,J,2))) / 2 * &
CELL_CUV(I,J,6) * CELL_CUV(I,J,7)
DELP(I,K,2) = DELP(I,K,2) + (ELF(I) + ELF(CELL_SIDE(I,J,2))) / 2 * &
CELL_CUV(I,J,6) * CELL_CUV(I,J,8)
Else
DELP(I,K,1) = DELP(I,K,1) + ELF(I) * CELL_CUV(I,J,6) * CELL_CUV(I,J,7)
DELP(I,K,2) = DELP(I,K,2) + ELF(I) * CELL_CUV(I,J,6) * CELL_CUV(I,J,8)
Endif
Enddo
DELP(I,K,1) = DELP(I,K,1) / AREA(I)
DELP(I,K,2) = DELP(I,K,2) / AREA(I)
Endif
Enddo
!$OMP END DO
Do K = 1,KBM
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
AC(I,K) = GRAV * DTI * DC(I)
Endif
Enddo
!$OMP END DO
Enddo
!$OMP BARRIER
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
IL = INDEX_EDGE(I,1,1)
IR = INDEX_EDGE(I,1,2)
DISXI = Sqrt((CXY(IR,1) - CXY(IL,1))**2 + (CXY(IR,2) - CXY(IL,2))**2)
Do K = 1,KBM
UN(I,K) = 0.0
VN(I,K) = 0.0
ANTIDIFFU = 0.5 * (AC(IL,K) + AC(IR,K)) * ((DELP(IL,1,1) + DELP(IR,1,1)) / 2 - &
(ELF(IR) - ELF(IL)) / DISXI * PRO_XI(I))
ANTIDIFFV = 0.5 * (AC(IL,K) + AC(IR,K)) * ((DELP(IL,1,2) + DELP(IR,1,2)) / 2 - &
(ELF(IR) - ELF(IL)) / DISXI * PRO_ETA(I))
UN(I,K) = 0.5 * (U(IL,K) + U(IR,K)) + ANTIDIFFU
VN(I,K) = 0.5 * (V(IL,K) + V(IR,K)) + ANTIDIFFV
Enddo
Endif
Enddo
!$OMP END DO
!============================================================================
! Anti-diffusion term correction (PN)
!============================================================================
If (HYDMODULE == 1) Then
!----------------------------------------------------------------------------
Do K = 1,KBM
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
DELP(I,K,1) = 0.0
DELP(I,K,2) = 0.0
DELP(I,K,3) = 0.0
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
DELP(I,K,1) = DELP(I,K,1) + (PN(I,K) + PN(CELL_SIDE(I,J,2),K)) / 2 * &
CELL_CUV(I,J,6) * CELL_CUV(I,J,7)
DELP(I,K,2) = DELP(I,K,2) + (PN(I,K) + PN(CELL_SIDE(I,J,2),K)) / 2 * &
CELL_CUV(I,J,6) * CELL_CUV(I,J,8)
Else
DELP(I,K,1) = DELP(I,K,1) + PN(I,K) * CELL_CUV(I,J,6) * CELL_CUV(I,J,7)
DELP(I,K,2) = DELP(I,K,2) + PN(I,K) * CELL_CUV(I,J,6) * CELL_CUV(I,J,8)
Endif
Enddo
DELP(I,K,1) = DELP(I,K,1) / AREA(I)
DELP(I,K,2) = DELP(I,K,2) / AREA(I)
If (K == 1) Then
DELP(I,K,3) = (PN(I,K) - PN(I,K+1)) / (DZZ(K) * DC(I))
Else if (K == KBM) Then
DELP(I,K,3) = (PN(I,K-1) - PN(I,K)) / (DZZ(K-1) * DC(I))
Else
DELP(I,K,3) = (PN(I,K-1) - PN(I,K+1)) / ((Z(K-1) - Z(K+1)) * DC(I))
Endif
Endif
Enddo
!$OMP END DO
Enddo
Do K = 1,KBM
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
AC(I,K) = DTI * DC(I) / RMEAN(I,K)
Endif
Enddo
!$OMP END DO
Enddo
!$OMP BARRIER
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
IL = INDEX_EDGE(I,1,1)
IR = INDEX_EDGE(I,1,2)
DISXI = Sqrt((CXY(IR,1) - CXY(IL,1)) ** 2. + (CXY(IR,2) - CXY(IL,2)) ** 2.)
Do K = 1,KBM
ANTIDIFFU = 0.5 * (AC(IL,K) + AC(IR,K)) * ((DELP(IL,K,1) + DELP(IR,K,1)) / 2 - &
(PN(IR,K) - PN(IL,K)) / DISXI * PRO_XI(I))
ANTIDIFFV = 0.5 * (AC(IL,K) + AC(IR,K)) * ((DELP(IL,K,2) + DELP(IR,K,2)) / 2 - &
(PN(IR,K) - PN(IL,K)) / DISXI * PRO_ETA(I))
UN(I,K) = UN(I,K) + ANTIDIFFU
VN(I,K) = VN(I,K) + ANTIDIFFV
Enddo
Endif
Enddo
!$OMP END DO
!----------------------------------------------------------------------------
Endif
Do K = 1,KBM
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
UN(I,K) = UN(I,K) / DS(I)
VN(I,K) = VN(I,K) / DS(I)
Endif
Enddo
!$OMP END DO
Enddo
!============================================================================
! Turbulence kinetic energy and vorticity update
!============================================================================
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
Do K = 1,KBM
DIVUX = 0.0 ! du/dx
DIVUY = 0.0 ! du/dy
DIVUZ = 0.0 ! du/dz
DIVVX = 0.0 ! dv/dx
DIVVY = 0.0 ! dv/dy
DIVVZ = 0.0 ! dv/dz
DIVWX = 0.0 ! dw/dx
DIVWY = 0.0 ! dw/dy
DIVWZ = 0.0 ! dw/dz
S11 = 0.0
S12 = 0.0
S13 = 0.0
S22 = 0.0
S23 = 0.0
S33 = 0.0
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
DIVUX = DIVUX + CELL_CUV(I,J,6) * 0.5 * &
(UR(I,K) + UR(CELL_SIDE(I,J,2),K)) * CELL_CUV(I,J,7)
DIVUY = DIVUY + CELL_CUV(I,J,6) * 0.5 * &
(UR(I,K) + UR(CELL_SIDE(I,J,2),K)) * CELL_CUV(I,J,8)
DIVVX = DIVVX + CELL_CUV(I,J,6) * 0.5 * &
(VR(I,K) + VR(CELL_SIDE(I,J,2),K)) * CELL_CUV(I,J,7)
DIVVY = DIVVY + CELL_CUV(I,J,6) * 0.5 * &
(VR(I,K) + VR(CELL_SIDE(I,J,2),K)) * CELL_CUV(I,J,8)
DIVWX = DIVWX + CELL_CUV(I,J,6) * &
(WR(CELL_SIDE(I,J,2),K) + WR(I,K)) / 2 * CELL_CUV(I,J,7)
DIVWY = DIVWY + CELL_CUV(I,J,6) * &
(WR(CELL_SIDE(I,J,2),K) + WR(I,K)) / 2 * CELL_CUV(I,J,8)
Endif
If ((CFM(CELL_SIDE(I,J,1)) == 0).OR.(CFM(CELL_SIDE(I,J,1)) == -1)) Then
DIVUY = DIVUY + CELL_CUV(I,J,6) * UR(I,K) * CELL_CUV(I,J,8)
DIVVX = DIVVX + CELL_CUV(I,J,6) * VR(I,K) * CELL_CUV(I,J,7)
DIVWX = DIVWX + CELL_CUV(I,J,6) * WR(I,K) * CELL_CUV(I,J,7)
DIVWY = DIVWY + CELL_CUV(I,J,6) * WR(I,K) * CELL_CUV(I,J,8)
Endif
If (CFM(CELL_SIDE(I,J,1)) == -3) Then
DIVUY = DIVUY + CELL_CUV(I,J,6) * UR(I,K) * CELL_CUV(I,J,8)
DIVVX = DIVVX + CELL_CUV(I,J,6) * VR(I,K) * CELL_CUV(I,J,7)
DIVWX = DIVWX + CELL_CUV(I,J,6) * WR(I,K) * CELL_CUV(I,J,7)
DIVWY = DIVWY + CELL_CUV(I,J,6) * WR(I,K) * CELL_CUV(I,J,8)
Endif
Enddo
DIVUX = DIVUX / AREA(I)
DIVUY = DIVUY / AREA(I)
DIVVX = DIVVX / AREA(I)
DIVVY = DIVVY / AREA(I)
DIVWX = DIVWX / AREA(I)
DIVWY = DIVWY / AREA(I)
If (K == 1) Then
DIVUZ = (UR(I,1) - UR(I,2)) / DZZ(1) / DC(I)
DIVVZ = (VR(I,1) - VR(I,2)) / DZZ(1) / DC(I)
DIVWZ = (WR(I,1) - WR(I,2)) / DZZ(1) / DC(I)
Endif
If (K == KBM) Then
DIVUZ = ((UR(I,KBM-1) - UR(I,KBM)) / (DZZ(KBM) * DC(I)) + &
UR(I,KBM) / (0.5 * DZ(KBM) * DC(I))) / 2
DIVVZ = ((VR(I,KBM-1) - VR(I,KBM)) / (DZZ(KBM) * DC(I)) + &
VR(I,KBM) / (0.5 * DZ(KBM) * DC(I))) / 2
DIVWZ = ((WR(I,KBM-1) - WR(I,KBM)) / (DZZ(KBM) * DC(I)) + &
WR(I,KBM) / (0.5 * DZ(KBM) * DC(I))) / 2
Endif
If ((K > 1).AND.(K < KBM)) Then
DIVUZ = ((UR(I,K-1) - UR(I,K)) / DZZ(K-1) / DC(I) + &
(UR(I,K) - UR(I,K+1)) / DZZ(K) / DC(I)) / 2
DIVVZ = ((VR(I,K-1) - VR(I,K)) / DZZ(K-1) / DC(I) + &
(VR(I,K) - VR(I,K+1)) / DZZ(K) / DC(I)) / 2
DIVWZ = ((WR(I,K-1) - WR(I,K)) / DZZ(K-1) / DC(I) + &
(WR(I,K) - WR(I,K+1)) / DZZ(K) / DC(I)) / 2
Endif
S11 = (DIVUX + DIVUX) / 2.0
S12 = (DIVUY + DIVVX) / 2.0
S13 = (DIVUZ + DIVWX) / 2.0
S22 = (DIVVY + DIVVY) / 2.0
S23 = (DIVVZ + DIVWY) / 2.0
S33 = (DIVWZ + DIVWZ) / 2.0
STRESS(I,K,1) = DIVUX
STRESS(I,K,2) = DIVUY
STRESS(I,K,3) = DIVUZ
STRESS(I,K,4) = DIVVX
STRESS(I,K,5) = DIVVY
STRESS(I,K,6) = DIVVZ
STRESS(I,K,7) = DIVWX
STRESS(I,K,8) = DIVWY
STRESS(I,K,9) = DIVWZ
TENSOR(I,K) = Sqrt(2 * (S11**2 + S22**2 + S33**2 + &
2 * S12**2 + 2 * S13**2 + 2 * S23**2))
Enddo
Endif
Enddo
!$OMP END DO
!$OMP END PARALLEL
!============================================================================
! Boundary conditions
!============================================================================
If (NUMQBC > 0) Then
Do N = 1,NUMQBC
ID = IQBC(N)
IE = IQBCINX(N)
IE2 = CELL_SIDE(ID,IE,1)
Do K = 1,KBM
UN(IE2,K) = -1 * QDIS(N) * VQDIST(N,K) / 100 * RAMP * &
CELL_CUV(ID,IE,7) / CELL_CUV(ID,IE,6) / DZ(K) / DS(IE2)
VN(IE2,K) = -1 * QDIS(N) * VQDIST(N,K) / 100 * RAMP * &
CELL_CUV(ID,IE,8) / CELL_CUV(ID,IE,6) / DZ(K) / DS(IE2)
Enddo
Enddo
Endif
!============================================================================
! Upwind and downwind direction for edges
!============================================================================
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(I,J,K,IL,IR,UD,N1,N2)
Do K = 1,KBM
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
IL = INDEX_EDGE(I,K,1)
IR = INDEX_EDGE(I,K,2)
UD = UN(I,K) * (CXY(IR,1) - CXY(IL,1)) + VN(I,K) * (CXY(IR,2) - CXY(IL,2))
If (UD < 0.0) Then
INDEX_EDGE(I,K,1) = IR
INDEX_EDGE(I,K,2) = IL
Endif
Endif
Enddo
!$OMP END DO
Enddo
!============================================================================
! Update the velocities on the cell vertices
!============================================================================
!$OMP DO
Do I = 1,IJP
Do K = 1,KB
UV(I,K) = 0
VV(I,K) = 0
WV(I,K) = 0
QZV(I,K) = 0
URV(I,K) = 0
VRV(I,K) = 0
WRV(I,K) = 0
PNV(I,K) = 0
SA_FX(I,K) = 0
SA_FY(I,K) = 0
SA_FZ(I,K) = 0
Enddo
Enddo
!$OMP END DO NOWAIT
DO K = 1,KBM
!$OMP DO
Do I = 1,IJP
Do J = 1,POINT_CELL(I)
If (CCM(INDEX_POINT(I,J)) == 1) Then
UV(I,K) = UV(I,K) + U(INDEX_POINT(I,J),K) * RCOE(I,J)
VV(I,K) = VV(I,K) + V(INDEX_POINT(I,J),K) * RCOE(I,J)
WV(I,K) = WV(I,K) + W(INDEX_POINT(I,J),K) * RCOE(I,J)
QZV(I,K) = QZV(I,K)+ QZ(INDEX_POINT(I,J),K)* RCOE(I,J)
Endif
Enddo
Enddo
!$OMP END DO
Enddo
Do K = 2,KBM
!$OMP DO
Do I = 1,IJP
Do J = 1,POINT_CELL(I)
If (CCM(INDEX_POINT(I,J)) == 1) Then
URV(I,K) = URV(I,K) + &
(UR(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
UR(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
VRV(I,K) = VRV(I,K) + &
(VR(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
VR(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
WRV(I,K) = WRV(I,K) + &
(WR(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
WR(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
PNV(I,K) = PNV(I,K) + &
(PN(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
PN(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
SA_FX(I,K) = SA_FX(I,K) + &
(HIB_FX(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
HIB_FX(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
SA_FY(I,K) = SA_FY(I,K) + &
(HIB_FY(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
HIB_FY(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
SA_FZ(I,K) = SA_FZ(I,K) + &
(HIB_FZ(INDEX_POINT(I,J),K-1) * (Z(K)-ZZ(K)) + &
HIB_FZ(INDEX_POINT(I,J),K) * (ZZ(K-1)-Z(K))) / &
(ZZ(K-1) - ZZ(K)) * RCOE(I,J)
Endif
Enddo
Enddo
!$OMP END DO
Enddo
!$OMP DO
Do I = 1,IJP
URV(I,1) = 2 * URV(I,2) - URV(I,3)
VRV(I,1) = 2 * VRV(I,2) - VRV(I,3)
WRV(I,1) = 2 * WRV(I,2) - WRV(I,3)
PNV(I,1) = 2 * PNV(I,2) - PNV(I,3)
PNV(I,KB) = 2 * PNV(I,KB-1) - PNV(I,KB-2)
SA_FX(I,1) = SA_FX(I,2)
SA_FX(I,KB) = SA_FX(I,KBM)
SA_FY(I,1) = SA_FY(I,2)
SA_FY(I,KB) = SA_FY(I,KBM)
SA_FZ(I,1) = SA_FZ(I,2)
SA_FZ(I,KB) = SA_FZ(I,KBM)
Enddo
!$OMP ENDDO
!$OMP DO
Do I = 1,IJE
If (CFM(I) == -2) Then
N1 = IEND_EDGE(I,1)
N2 = IEND_EDGE(I,2)
Do K = 1,KBM
UV(N1,K) = 0.0
UV(N2,K) = 0.0
VV(N1,K) = 0.0
VV(N2,K) = 0.0
QZV(N1,K) = 0.0
QZV(N2,K) = 0.0
WV(N1,K) = 0.0
WV(N2,K) = 0.0
URV(N1,K) = 0.0
URV(N2,K) = 0.0
VRV(N1,K) = 0.0
VRV(N2,K) = 0.0
WRV(N1,K) = 0.0
WRV(N2,K) = 0.0
Enddo
Endif
Enddo
!$OMP END DO NOWAIT
!============================================================================
! Bed friction coefficient update
!============================================================================
!$OMP DO
Do I = 1,IJM
EL(I) = ELF(I)
If (DC(I) > 0.0) Then
CBC(I) = (0.41 / Log((ZZ(KBM)-Z(KB)) * DC(I) / ZBD))**2
Endif
Enddo
!$OMP END DO
!$OMP END PARALLEL
End Subroutine UVFN