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PROFELF.f90
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PROFELF.f90
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!******************************************************************************
!
! Subroutine program: PROFELF
! Date: 2024.09.30
! Detail: Water elevation solver by continuity equation.
!
!******************************************************************************
Subroutine PROFELF
Use NUM_VAR
Implicit None
Integer I,J,K,L,M,N,K1,K2,LIM
Integer IL,IR,ID
Real(Kind=8) AAAA(KBM,KBM),AA(3*KBM-2),BBBB(KBM),BB(KBM)
Real(Kind=8) ZZZ1(KBM),ZZZ2(KBM),COES(IJE),TEMP(KBM),TTT1
LIM = 1
!============================================================================
! Variables initialization
!============================================================================
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(I,J,K)
!$OMP DO
Do I = 1,IJM
Do J = 1,CELL_POLYGEN(I)
CS(I,J) = 0
Enddo
CP(I) = 0
CB(I) = 0
X_ELF(I) = 0
Enddo
!$OMP END DO NOWAIT
!$OMP DO
Do I = 1,IJM
Do K = 1,KB
USTAR(I,K) = 0
VSTAR(I,K) = 0
Enddo
Enddo
!$OMP END DO NOWAIT
!$OMP DO
Do I = 1,IJE
COES(I) = 0
Enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
!============================================================================
! Coefficient on the side edges
!============================================================================
Do K = 1,KBM
BB(K) = 0
BBBB(K) = 0
ZZZ1(K) = DTI * THETA * DZ(K)
ZZZ2(K) = DTI * (1.0 - THETA) * DZ(K)
Do K2 = 1,KBM
AAAA(K,K2) = 0
Enddo
Enddo
Do K = 1,3*KBM-2
AA(K) = 0
Enddo
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(I,J,K,IL,IR,AAAA,BBBB,TTT1,AA,BB,TEMP)
!$OMP DO
Do I = 1,IJE
If (CFM(I) == 1) Then
!----------------------------------------------------------------------------
Do K = 2,KBM
IL = INDEX_EDGE(I,K,1)
IR = INDEX_EDGE(I,K,2)
AAAA(K,K-1) = -1 * DTI * (UMOL + (0.5 * (KM(IL,K-1) + KM(IR,K-1)) + &
0.5 * (KM(IL,K) + KM(IR,K))) / 2) / DS(I)**2 / DZZ(K-1)
AAAA(K-1,K) = AAAA(K,K-1)
Enddo
Do K = 2,KBM-1
AAAA(K,K) = DZ(K) - AAAA(K,K-1) - AAAA(K,K+1)
Enddo
AAAA(1,1) = DZ(1) - AAAA(1,2)
IL = INDEX_EDGE(I,KBM,1)
IR = INDEX_EDGE(I,KBM,2)
AAAA(KBM,KBM) = DZ(KBM) - AAAA(KBM,KBM-1) + DTI * (CBC(IL) + CBC(IR)) / 2 * &
Sqrt(UN(I,KBM)**2 + VN(I,KBM)**2) / DS(I)
Do K = 1,KBM
BBBB(K) = GRAV * DS(I) * DTI * THETA * DZ(K)
Enddo
AA(1) = AAAA(1,1)
AA(2) = AAAA(1,2)
Do K = 2,KBM-1
AA(2*(K-1)+K-1) = AAAA(K,K-1)
AA(2*(K-1)+K) = AAAA(K,K)
AA(2*(K-1)+K+1) = AAAA(K,K+1)
Enddo
AA(3*KBM-3) = AAAA(KBM,KBM-1)
AA(3*KBM-2) = AAAA(KBM,KBM)
Do K = 1,KBM
BB(K) = BBBB(K)
Enddo
Call MAT_TRD(AA,KBM,3*KBM-2,BB,LIM)
Do K = 1,KBM
TEMP(K) = BB(K)
Enddo
TTT1 = 0.0
Do K = 1,KBM
TTT1 = TTT1 + ZZZ1(K) * TEMP(K)
Enddo
COES(I) = TTT1
Endif
!----------------------------------------------------------------------------
Enddo
!$OMP END DO
!$OMP BARRIER
!============================================================================
! Coefficient matrix of the equations
!============================================================================
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
!----------------------------------------------------------------------------
Do K = 2,KBM
AAAA(K,K-1) = -1 * DTI * ((KM(I,K-1) + KM(I,K)) / 2 + UMOL) / DC(I)**2 / DZZ(K-1)
AAAA(K-1,K) = AAAA(K,K-1)
Enddo
Do K = 2,KBM-1
AAAA(K,K) = DZ(K) - AAAA(K,K-1) - AAAA(K,K+1)
Enddo
AAAA(1,1) = DZ(1) - AAAA(1,2)
AAAA(KBM,KBM) = DZ(KBM) - AAAA(KBM,KBM-1) + DTI * CBC(I) * &
Sqrt(U(I,KBM)**2 + V(I,KBM)**2) / DC(I)**2
Do K = 1,KBM
BBBB(K) = GRAV * DC(I) * DTI * THETA * DZ(K)
Enddo
AA(1) = AAAA(1,1)
AA(2) = AAAA(1,2)
Do K = 2,KBM-1
AA(2*(K-1)+K-1) = AAAA(K,K-1)
AA(2*(K-1)+K) = AAAA(K,K)
AA(2*(K-1)+K+1) = AAAA(K,K+1)
Enddo
AA(3*KBM-3) = AAAA(KBM,KBM-1)
AA(3*KBM-2) = AAAA(KBM,KBM)
Do K = 1,KBM
BB(K) = UF(I,K) / AREA(I)
Enddo
Call MAT_TRD(AA,KBM,3*KBM-2,BB,LIM)
Do K = 1,KBM
USTAR(I,K) = BB(K)
Enddo
AA(1) = AAAA(1,1)
AA(2) = AAAA(1,2)
Do K = 2,KBM-1
AA(2*(K-1)+K-1) = AAAA(K,K-1)
AA(2*(K-1)+K) = AAAA(K,K)
AA(2*(K-1)+K+1) = AAAA(K,K+1)
Enddo
AA(3*KBM-3) = AAAA(KBM,KBM-1)
AA(3*KBM-2) = AAAA(KBM,KBM)
Do K = 1,KBM
BB(K) = VF(I,K) / AREA(I)
Enddo
Call MAT_TRD(AA,KBM,3*KBM-2,BB,LIM)
Do K = 1,KBM
VSTAR(I,K) = BB(K)
Enddo
Endif
!----------------------------------------------------------------------------
Enddo
!$OMP END DO
!$OMP BARRIER
!$OMP DO
Do I = 1,IJM
If (CCM(I) == 1) Then
!----------------------------------------------------------------------------
Do K = 1,KBM
TEMP(K) = 0.0
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
IL = I
IR = CELL_SIDE(I,J,2)
TEMP(K) = TEMP(K) + CELL_CUV(I,J,6) * &
((USTAR(IL,K) + USTAR(IR,K)) / 2 * CELL_CUV(I,J,7) + &
(VSTAR(IL,K) + VSTAR(IR,K)) / 2 * CELL_CUV(I,J,8))
Endif
Enddo
Enddo
Do K = 1,KBM
CB(I) = CB(I) + ZZZ1(K) * TEMP(K)
Enddo
Do K = 1,KBM
TEMP(K) = 0.0
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
IL = I
IR = CELL_SIDE(I,J,2)
TEMP(K) = TEMP(K) + CELL_CUV(I,J,6) * &
((U(IL,K) + U(IR,K)) / 2 * CELL_CUV(I,J,7) + &
(V(IL,K) + V(IR,K)) / 2 * CELL_CUV(I,J,8))
Endif
Enddo
Enddo
Do K = 1,KBM
CB(I) = CB(I) + ZZZ2(K) * TEMP(K)
Enddo
CB(I) = -1 * CB(I) + AREA(I) * EL(I)
Do J = 1,CELL_POLYGEN(I)
If (CFM(CELL_SIDE(I,J,1)) == 1) Then
CS(I,J) = COES(CELL_SIDE(I,J,1)) * (DISCOE(I,J,1) - DISCOE(I,J,8))
Endif
CP(I) = CP(I) + CS(I,J)
Enddo
CP(I) = CP(I) + AREA(I)
!----------------------------------------------------------------------------
Endif
Enddo
!$OMP END DO
!$OMP END PARALLEL
!============================================================================
! Boundary conditions
!============================================================================
If (NUMQBC > 0) Then
Do N = 1,NUMQBC
ID = IQBC(N)
Do K = 1,KBM
ZZZ1(K) = DTI * THETA * DZ(K)
ZZZ2(K) = DTI * (1.0 - THETA) * DZ(K)
TEMP(K) = -QDIS(N) * VQDIST(N,K) / 100. * RAMP / DZ(K)
TEMP(K) = (ZZZ1(K) + ZZZ2(K)) * TEMP(K)
CB(ID) = CB(ID) - TEMP(K)
Enddo
Enddo
Endif
If (NUMEBC > 0) Then
Do N = 1,NUMEBC
ID = IEBC(N)
ELF(ID) = EBDRY(N) * RAMP
CP(ID) = 1.0
Do J = 1,CELL_POLYGEN(ID)
CS(ID,J) = 0.0
Enddo
CB(ID) = ELF(ID)
Enddo
Endif
!============================================================================
! Water elevation solver based on Bi-CGSTAB method
!============================================================================
CALL SOLVERELF
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(I)
Do I = 1,IJM
If (CCM(I) == 1) Then
ELF(I) = X_ELF(I)
Endif
Enddo
!$OMP END PARALLEL DO
End Subroutine PROFELF