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wwm_fluctsplit.F90
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#include "wwm_functions.h"
#undef positivity
#undef DEBUG_COHERENCY_FLUCT
#undef DEBUG
!**********************************************************************
!* *
!**********************************************************************
! for ICOMP == 0 Fully Explicit
SUBROUTINE FLUCT_EXPLICIT
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IS, ID
IF (LCFL .and. LCALC) THEN
CFLCXY(1,:) = ZERO
CFLCXY(2,:) = LARGE
CFLCXY(3,:) = ZERO
END IF
IF (LVECTOR) THEN
IF (AMETHOD == 1) THEN
CALL EXPLICIT_N_SCHEME_VECTOR_HPCF
!CALL EXPLICIT_N_SCHEME_VECTOR_III
ELSE
CALL WWM_ABORT('NOT SUPPORTED IN VECTOR MODE')
ENDIF
ELSE
IF (AMETHOD == 1) THEN
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EXPLICIT_N_SCHEME(IS,ID)
END DO
END DO
ELSE IF (AMETHOD == 2) THEN
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EXPLICIT_PSI_SCHEME(IS,ID)
! CALL EXPLICIT_LFPSI_SCHEME_GSE(IS,ID)
END DO
END DO
ELSE IF (AMETHOD == 3) THEN
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EXPLICIT_LFPSI_SCHEME(IS,ID)
! CALL EXPLICIT_LFPSI_SCHEME_GSE(IS,ID)
END DO
END DO
END IF
ENDIF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
! for ICOMP == 1
SUBROUTINE FLUCT_IMP_EXP_SOURCES
USE DATAPOOL
#ifdef PETSC
use PETSC_CONTROLLER, only : EIMPS_PETSC
use petsc_block, only: EIMPS_PETSC_BLOCK
#endif
IMPLICIT NONE
INTEGER :: IS, ID
REAL(rkind) :: DTMAX
#ifdef PETSC
! petsc block has its own loop over NUMSIG NUMDIR
IF(AMETHOD == 5) THEN
call EIMPS_PETSC_BLOCK
RETURN
END IF
#endif
!$OMP PARALLEL
IF (AMETHOD == 1) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EIMPS_V1( IS, ID)
END DO
END DO
ELSE IF (AMETHOD == 2) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL CNIMPS( IS, ID)
END DO
END DO
ELSE IF (AMETHOD == 3) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL CNEIMPS( IS, ID, DTMAX)
END DO
END DO
ELSE IF (AMETHOD == 4) THEN
#ifdef PETSC
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EIMPS_PETSC(IS, ID)
END DO
END DO
#endif
ELSE IF (AMETHOD == 6) THEN
#ifdef WWM_SOLVER
# ifdef MPI_PARALL_GRID
CALL WWM_SOLVER_EIMPS(MainLocalColor, SolDat)
# endif
#endif
END IF
!$OMP END PARALLEL
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
! for ICOMP == 2
SUBROUTINE FLUCT_IMP_SOURCES
USE DATAPOOL
#ifdef PETSC
use PETSC_CONTROLLER, only : EIMPS_PETSC
use petsc_block, only: EIMPS_PETSC_BLOCK
#endif
IMPLICIT NONE
INTEGER :: IS, ID
REAL(rkind) :: DTMAX
!2DO MATHIEU: Please clean this ... and please check this
#ifdef PETSC
! petsc block has its own loop over NUMSIG NUMDIR
IF(AMETHOD == 5) THEN
call EIMPS_PETSC_BLOCK
RETURN
ENDIF
#endif
#ifdef WWM_SOLVER
# ifdef MPI_PARALL_GRID
IF (AMETHOD == 6) THEN
CALL WWM_SOLVER_EIMPS(MainLocalColor, SolDat)
RETURN
ELSE IF (AMETHOD == 7) THEN
CALL EIMPS_TOTAL_JACOBI_ITERATION
RETURN
ENDIF
# endif
#endif
!
!$OMP PARALLEL
IF (AMETHOD == 1) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EIMPS_V1( IS, ID)
END DO
END DO
ELSE IF (AMETHOD == 2) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL CNIMPS( IS, ID)
END DO
END DO
ELSE IF (AMETHOD == 3) THEN
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL CNEIMPS( IS, ID, DTMAX)
END DO
END DO
ELSE IF (AMETHOD == 4) THEN
#ifdef PETSC
!$OMP DO PRIVATE (ID,IS)
DO ID = 1, NUMDIR
DO IS = 1, NUMSIG
CALL EIMPS_PETSC(IS, ID)
END DO
END DO
#endif
ENDIF
!$OMP END PARALLEL
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
! for ICOMP == 3
SUBROUTINE FLUCT_IMP_ALL
USE DATAPOOL
#ifdef PETSC
use PETSC_CONTROLLER, only : EIMPS_PETSC
use petsc_block, only: EIMPS_PETSC_BLOCK
#endif
IMPLICIT NONE
IF (AMETHOD .eq.5) THEN
#ifdef PETSC
CALL EIMPS_PETSC_BLOCK
#endif
ELSE IF (AMETHOD .eq. 7) THEN
#ifdef WWM_SOLVER
CALL EIMPS_TOTAL_JACOBI_ITERATION
#endif
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE CFL_COMPUTATION_BIN(IS, ID, KELEM, C)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IS,ID
REAL(rkind), INTENT(IN) :: KELEM(3,MNE)
REAL(rkind), INTENT(IN) :: C(2,MNP)
REAL(rkind) :: CFLXY, REST
REAL(rkind) :: KKSUM(MNP)
REAL(rkind) :: CXnorm
integer :: J, IP, I, IE, POS
REAL(rkind) :: DTMAX_GLOBAL_EXP
REAL(rkind) :: DTMAX_GLOBAL_EXP_LOC
REAL(rkind) :: DTMAX_EXP
KKSUM = ZERO
J = 0
DO IP = 1, MNP
DO I = 1, CCON(IP)
J = J + 1
IE = IE_CELL(J)
POS = POS_CELL(J)
KKSUM(IP) = KKSUM(IP) + MAX(KELEM(POS,IE),ZERO)
!IF ( ABS(KELEM(POS,IE)) > KKMAX(IP) ) KKMAX(IP) = ABS(KELEM(POS,IE))
END DO
END DO
#ifdef DEBUG
WRITE(STAT%FHNDL,*) 'sum(abs(KKSUM))=', sum(abs(KKSUM))
#endif
#ifdef MPI_PARALL_GRID
DTMAX_GLOBAL_EXP = VERYLARGE
DTMAX_GLOBAL_EXP_LOC = VERYLARGE
DO IP = 1, NP_RES
IF (ABS(IOBP(IP)) .EQ. 1) CYCLE
DTMAX_EXP = SI(IP)/MAX(THR,KKSUM(IP))
!DTMAX_EXP = SI(IP)/MAX(THR,KKMAX(IP))
CXnorm=SQRT((C(1,IP)/INVSPHTRANS(IP,1))**2 + (C(2,IP)/INVSPHTRANS(IP,2))**2)
!if (is == 1 .and. ip == 44269) write(*,'(I10,10F20.10)') IS, 1./(SPSIG(IS)/PI2), C(:,IP), CXnorm, DEP(IP), DTMAX_EXP, DT4A*MAX(THR,KKSUM(IP))/SI(IP)
CFLCXY(1,IP) = MAX(CFLCXY(1,IP),CXnorm)
CFLCXY(2,IP) = MIN(CFLCXY(2,IP),DTMAX_EXP)
CFLCXY(3,IP) = MAX(CFLCXY(3,IP),DT4A*MAX(THR,KKSUM(IP))/SI(IP))
DTMAX_GLOBAL_EXP_LOC = MIN(DTMAX_GLOBAL_EXP_LOC,DTMAX_EXP)
END DO
CALL MPI_ALLREDUCE(DTMAX_GLOBAL_EXP_LOC,DTMAX_GLOBAL_EXP,1,rtype,MPI_MIN,COMM,IERR)
CALL PARALLEL_SYNCHRONIZE_CFL
#else
DTMAX_GLOBAL_EXP = VERYLARGE
DO IP = 1, MNP
DTMAX_EXP = SI(IP)/MAX(THR,KKSUM(IP))
!DTMAX_EXP = SI(IP)/MAX(THR,KKMAX(IP))
CXnorm=SQRT((C(1,IP)/INVSPHTRANS(IP,1))**2 + (C(2,IP)/INVSPHTRANS(IP,2))**2)
!if (is == 1) write(*,'(I10,4F20.10)') IS, 1./(SPSIG(IS)/PI2), CXnorm, DEP(IP)
CFLCXY(1,IP) = MAX(CFLCXY(1,IP),CXnorm)
CFLCXY(2,IP) = MIN(CFLCXY(2,IP),DTMAX_EXP)
CFLCXY(3,IP) = MAX(CFLCXY(3,IP),DT4A*MAX(THR,KKSUM(IP))/SI(IP))
DTMAX_GLOBAL_EXP = MIN ( DTMAX_GLOBAL_EXP, DTMAX_EXP)
END DO
#endif
CFLXY = DT4A/DTMAX_GLOBAL_EXP
REST = ABS(MOD(CFLXY,ONE))
IF (REST .LT. THR) THEN
ITER_EXP(IS,ID) = ABS(NINT(CFLXY))
ELSE IF (REST .GT. THR .AND. REST .LT. ONEHALF) THEN
ITER_EXP(IS,ID) = ABS(NINT(CFLXY)) + 1
ELSE
ITER_EXP(IS,ID) = ABS(NINT(CFLXY))
END IF
ITER_EXP(IS,ID) = MAX(1,ITER_EXP(IS,ID))
#ifdef MPI_PARALL_GRID
CONTAINS
SUBROUTINE PARALLEL_SYNCHRONIZE_CFL
IMPLICIT NONE
REAL(rkind) :: Field(MNP)
integer IDIM
DO IDIM=1,3
Field=CFLCXY(IDIM,:)
CALL EXCHANGE_P2D(Field)
CFLCXY(IDIM,:)=Field
END DO
END SUBROUTINE
#endif
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE EXPLICIT_N_SCHEME(IS,ID)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IS,ID
!
! local integer
!
INTEGER :: IP, IE, IT, IP_TEST
INTEGER :: I1, I2, I3, I, J, IMETHOD, IPOS
INTEGER :: NI(3)
!
! local double
!
REAL(rkind) :: UTILDE
REAL(rkind) :: TESTMIN
REAL(rkind) :: LAMBDA(2), DT4AI
REAL(rkind) :: FL11,FL12,FL21,FL22,FL31,FL32
REAL(rkind) :: KTMP(3)
REAL(rkind) :: ST(MNP), N(MNE), U3(3)
REAL(rkind) :: C(2,MNP), U(MNP), DTSI(MNP)
REAL(rkind) :: FLALL(3,MNE), UTILDEE(MNE)
REAL(rkind) :: FL111, FL112, FL211, FL212, FL311, FL312
REAL(rkind) :: KELEM(3,MNE)
#ifdef positivity
REAL(rkind) :: CBAR_1_1(2), CBAR_1_2(2)
REAL(rkind) :: CBAR_2_1(2), CBAR_2_2(2)
REAL(rkind) :: CBAR_3_1(2), CBAR_3_2(2)
#endif
#ifdef DEBUG_COHERENCY_FLUCT
REAL(rkind) :: Ftest(MNP)
#endif
!
! local parameter
!
REAL(rkind) :: TMP
#ifdef DEBUG
WRITE(STAT%FHNDL,*) '-----------------------------------------'
WRITE(STAT%FHNDL,*) 'IS=', IS, ' ID=', ID
#endif
!
! Calculate phase speeds for the certain spectral component ...
!
CALL CADVXY(IS,ID,C)
! IP_TEST = 20710
! AC2(1,ID,IP_TEST) = 1.
!
! Calculate K-Values and contour based quantities ...
!
!!$OMP PARALLEL DO DEFAULT(NONE) &
!!$OMP& PRIVATE(IE,I1,I2,I3,LAMBDA,KTMP,TMP,FL11,FL12,FL21,FL22,FL31,FL32,FL111,FL112,FL211,FL212,FL311,FL312) &
!!$OMP& SHARED(MNE,INE,IEN,C,KELEM,FLALL,N)
DO IE = 1, MNE
! IF (IE_IS_STEADY(IE) .GT. 2) THEN
! WRITE(DBG%FHNDL,*) '1st IE LOOP CYCLE', IE, IE_IS_STEADY(IE)
! CYCLE
! ENDIF
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
LAMBDA(1) = ONESIXTH *(C(1,I1)+C(1,I2)+C(1,I3))
LAMBDA(2) = ONESIXTH *(C(2,I1)+C(2,I2)+C(2,I3))
KELEM(1,IE) = LAMBDA(1) * IEN(1,IE) + LAMBDA(2) * IEN(2,IE)
KELEM(2,IE) = LAMBDA(1) * IEN(3,IE) + LAMBDA(2) * IEN(4,IE)
KELEM(3,IE) = LAMBDA(1) * IEN(5,IE) + LAMBDA(2) * IEN(6,IE)
#ifdef positivity
CBAR_1_1 = 0.5 * (C(:,I1) + C(:,I3))
CBAR_1_2 = 0.5 * (C(:,I1) + C(:,I2))
CBAR_2_1 = 0.5 * (C(:,I2) + C(:,I3))
CBAR_2_2 = 0.5 * (C(:,I2) + C(:,I1))
CBAR_3_1 = 0.5 * (C(:,I2) + C(:,I3))
CBAR_3_2 = 0.5 * (C(:,I1) + C(:,I3))
KELEM(1,IE) = -DOT_PRODUCT(CBAR_1_1,IEN(3:4,IE)) -DOT_PRODUCT(CBAR_1_2,IEN(5:6,IE))
KELEM(2,IE) = -DOT_PRODUCT(CBAR_2_1,IEN(1:2,IE)) -DOT_PRODUCT(CBAR_2_2,IEN(5:6,IE))
KELEM(3,IE) = -DOT_PRODUCT(CBAR_3_1,IEN(1:2,IE)) -DOT_PRODUCT(CBAR_3_2,IEN(3:4,IE))
#endif
KTMP = KELEM(:,IE)
TMP = SUM(MIN(ZERO,KTMP))
N(IE) = - ONE/MIN(-THR,TMP)
KELEM(:,IE) = MAX(ZERO,KTMP)
FL11 = C(1,I2) * IEN(1,IE) + C(2,I2) * IEN(2,IE)
FL12 = C(1,I3) * IEN(1,IE) + C(2,I3) * IEN(2,IE)
FL21 = C(1,I3) * IEN(3,IE) + C(2,I3) * IEN(4,IE)
FL22 = C(1,I1) * IEN(3,IE) + C(2,I1) * IEN(4,IE)
FL31 = C(1,I1) * IEN(5,IE) + C(2,I1) * IEN(6,IE)
FL32 = C(1,I2) * IEN(5,IE) + C(2,I2) * IEN(6,IE)
FL111 = TWO*FL11+FL12
FL112 = TWO*FL12+FL11
FL211 = TWO*FL21+FL22
FL212 = TWO*FL22+FL21
FL311 = TWO*FL31+FL32
FL312 = TWO*FL32+FL31
FLALL(1,IE) = (FL311 + FL212) * ONESIXTH + KELEM(1,IE)
FLALL(2,IE) = (FL111 + FL312) * ONESIXTH + KELEM(2,IE)
FLALL(3,IE) = (FL211 + FL112) * ONESIXTH + KELEM(3,IE)
END DO
#ifdef DEBUG
WRITE(STAT%FHNDL,*) ' THR =', THR
WRITE(STAT%FHNDL,*) 'sum(abs(C(1:)))=', sum(abs(C(1,:)))
WRITE(STAT%FHNDL,*) 'sum(abs(C(2:)))=', sum(abs(C(2,:)))
WRITE(STAT%FHNDL,*) 'sum(abs( IEN ))=', sum(abs( IEN ))
WRITE(STAT%FHNDL,*) 'sum(abs( SI ))=', sum(abs( SI ))
WRITE(STAT%FHNDL,*) 'sum(abs( N ))=', sum(abs( N ))
WRITE(STAT%FHNDL,*) 'sum(abs(KELEM))=', sum(abs(KELEM))
WRITE(STAT%FHNDL,*) 'sum(abs(FLALL))=', sum(abs(FLALL))
#endif
! If the current field or water level changes estimate the iteration
! number based on the new flow field and the CFL number of the scheme
IF (LCALC) THEN
CALL CFL_COMPUTATION_BIN(IS, ID, KELEM, C)
END IF
DT4AI = DT4A/ITER_EXP(IS,ID)
DTSI(:) = DT4AI/SI(:)
U = AC2(IS,ID,:)
#ifdef DEBUG
WRITE(STAT%FHNDL,*) 'EXPLICIT_N_SCHEME Before sum(U)=', sum(U)
#endif
#ifdef DEBUG_COHERENCY_FLUCT
WRITE(STAT%FHNDL,*) 'IS=', IS, ' ID=', ID
CALL Print_SumScalar(SI, "SI at start of EXPLICIT_N_SCHEME")
CALL Print_SumScalar(DTSI, "DTSI at start of EXPLICIT_N_SCHEME")
CALL Print_SumScalar(U, "U at start of EXPLICIT_N_SCHEME")
Ftest=MyREAL(IOBWB)
CALL Print_SumScalar(Ftest, "IOBWB at start of EXPLICIT_N_SCHEME")
Ftest=MyREAL(IOBPD(ID,:))
CALL Print_SumScalar(Ftest, "IOBPD at start of EXPLICIT_N_SCHEME")
Ftest=MyREAL(IOBDP)
CALL Print_SumScalar(Ftest, "IOBDP at start of EXPLICIT_N_SCHEME")
Ftest=C(1,:)
CALL Print_SumScalar(Ftest, "C(1,:) at start of EXPLICIT_N_SCHEME")
Ftest=C(2,:)
CALL Print_SumScalar(Ftest, "C(2,:) at start of EXPLICIT_N_SCHEME")
#endif
IF (LADVTEST) THEN
CALL CHECKCONS(U,SUMAC1)
END IF
!
! Loop over all sub time steps, all quantities in this loop depend on the solution U itself !!!
!
! WRITE(STAT%FHNDL,'(3I10,4F15.4)') IS, ID, ITER_EXP(IS,ID), SQRT(MAXVAL(C(1,:))**2+MAXVAL(C(2,:))**2), &
! & SQRT(MAXVAL(C(1,:))**2+MAXVAL(C(2,:))**2)*DT4A/MINVAL(EDGELENGTH), MAXVAL(CG(IS,:)), SQRT(G9*MAXVAL(DEP))
IMETHOD = 1
IF (IMETHOD == 1) THEN
#ifdef DEBUG
WRITE(STAT%FHNDL,*) 'ITER=', ITER_EXP(IS,ID)
#endif
DO IT = 1, ITER_EXP(IS,ID)
#ifdef DEBUG_COHERENCY_FLUCT
WRITE(STAT%FHNDL,*) 'IT=', IT
#endif
ST = ZERO ! Init. ... only used over the residual nodes see IP loop
DO IE = 1, MNE
! IF (IE_IS_STEADY(IE) .GT. 2) THEN
! WRITE(DBG%FHNDL,*) '2nd IE LOOP CYCLE', IT, IE, IE_IS_STEADY(IE)
! CYCLE
! ENDIF
NI = INE(:,IE)
U3 = U(NI)
UTILDE = N(IE) * (DOT_PRODUCT(FLALL(:,IE),U3)) !* IOBED(ID,IE)
ST(NI) = ST(NI) + KELEM(:,IE) * (U3 - UTILDE) ! the 2nd term are the theta values of each node ...
END DO
#ifdef DEBUG_COHERENCY_FLUCT
# ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(ST) ! Simply for debugging purposes
# endif
CALL Print_SumScalar(ST, "ST used in update of U")
#endif
DO IP = 1, MNP
! IF (IP_IS_STEADY(IP) .GT. 2) THEN
! WRITE(DBG%FHNDL,*) '1st IP LOOP CYCLE', IT, IP, IP_IS_STEADY(IP)
! CYCLE
! ENDIF
! IF (IOBP(IP) .NE. 0 .AND. CCON(IP) .GT. 3) THEN
! TESTMIN = U(IP)-DTSI(IP)*ST(IP)
! IF (TESTMIN .LT. ZERO) WRITE(99999,*) TESTMIN
U(IP) = MAX(ZERO,U(IP)-DTSI(IP)*ST(IP)*IOBWB(IP))*IOBPD(ID,IP)*IOBDP(IP)
! ELSE IF (IOBP(IP) .EQ. 0) THEN
! U(IP) = MAX(ZERO,U(IP)-DTSI(IP)*ST(IP)*IOBWB(IP))*IOBPD(ID,IP)*IOBDP(IP)
! ENDIF
ENDDO
! WRITE(*,'(2I10,F20.10,2I20,F20.10)') ID, IS, U(IP_TEST), IOBPD(ID,IP_TEST), IOBDP(IP_TEST), DEP(IP_TEST)
#ifdef DEBUG_COHERENCY_FLUCT
CALL Print_SumScalar(U, "U after the iteration")
#endif
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(U) ! Exchange after each update of the res. domain
#endif
#ifdef DEBUG_COHERENCY_FLUCT
CALL Print_SumScalar(U, "U after the exchange")
#endif
END DO ! ----> End Iteration
ELSE IF (IMETHOD == 2) THEN
DO IT = 1, ITER_EXP(IS,ID)
UTILDEE = N*(FLALL(1,:)*U(INE(1,:))+FLALL(2,:)*U(INE(2,:))+FLALL(3,:)*U(INE(3,:)))
ST = ZERO
J = 0
DO IP = 1, MNP
DO I = 1, CCON(IP)
IE = IE_CELL2(IP,I)
IPOS = POS_CELL2(IP,I)
ST(IP) = ST(IP) + KELEM(IPOS,IE) * (U(IP) - UTILDEE(IE))
END DO
END DO
U = MAX(ZERO,U-DTSI*ST*IOBWB)*IOBPD(ID,:)*IOBDP(:)
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(U) ! Exchange after each update of the res. domain
#endif
END DO
ELSE IF (IMETHOD == 3) THEN
DO IT = 1, ITER_EXP(IS,ID)
ST = 0.d0 ! Init. ... only used over the residual nodes see IP loop
DO IE = 1, MNE
NI = INE(:,IE)
U3 = U(NI)
UTILDE = N(IE)*(DOT_PRODUCT(FLALL(:,IE),U3*IOBPD(ID,NI)))
!UTILDE = N(IE)*(DOT_PRODUCT(FLALL(:,IE),U3))
ST(NI) = ST(NI)*IOBPD(ID,NI)+KELEM(:,IE)*(U3 - UTILDE)
!ST(NI) = ST(NI)+KELEM(:,IE)*(U3 - UTILDE)
END DO
U = MAX(0.d0,U-DTSI*ST*MyREAL(IOBWB))!*DBLE(IOBPD(ID,:))
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(U)
#endif
END DO ! ----> End Iteration
END IF ! IMETHOD
#ifdef DEBUG
WRITE(STAT%FHNDL,*) 'EXPLICIT_N_SCHEME After sum(U)=', sum(U)
#endif
AC2(IS,ID,:) = U
IF (LADVTEST) THEN
WRITE(4001) SNGL(RTIME)
WRITE(4001) (SNGL(C(1,IP)), SNGL(C(2,IP)), SNGL(AC2(1,1,IP)), &
& IP = 1, MNP)
CALL CHECKCONS(U,SUMAC2)
IF (MINVAL(U) .LT. MINTEST) MINTEST = MINVAL(U)
WRITE (DBG%FHNDL,*) 'VOLUMES AT T0, T1 and T2',SUMACt0, &
& SUMAC1, SUMAC2, MINTEST
WRITE (DBG%FHNDL,*) 'VOLUME ERROR: TOTAL and ACTUAL', &
& 100.0_rkind-((SUMACt0-SUMAC2)/SUMACt0)*100.0_rkind, &
& 100.0_rkind- ((SUMAC1-SUMAC2)/SUMAC1)*100.0_rkind
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE EXPLICIT_PSI_SCHEME ( IS, ID )
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IS,ID
!
! local integer
!
INTEGER :: IP, IE, IT
INTEGER :: I1, I2, I3
INTEGER :: NI(3)
!
! local double
!
REAL(rkind) :: FT
REAL(rkind) :: UTILDE
REAL(rkind) :: LAMBDA(2), DT4AI
REAL(rkind) :: FL11,FL12,FL21,FL22,FL31,FL32
REAL(rkind) :: THETA_L(3)
REAL(rkind) :: KTMP(3)
REAL(rkind) :: BET1(3), BETAHAT(3)
REAL(rkind) :: ST(MNP), N(MNE)
REAL(rkind) :: C(2,MNP), U(MNP), DTSI(MNP)
REAL(rkind) :: FLALL(3,MNE)
REAL(rkind) :: FL111, FL112, FL211, FL212, FL311, FL312
REAL(rkind) :: KELEM(3,MNE)
!
! local parameter
!
REAL(rkind) :: TMP
U(:) = AC2(IS,ID,:)
!
! Calculate phase speeds for the certain spectral component ...
!
CALL CADVXY(IS,ID,C)
!
! Calculate K-Values and contour based quantities ...
!
DO IE = 1, MNE
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
LAMBDA(1) = ONESIXTH *(C(1,I1)+C(1,I2)+C(1,I3))
LAMBDA(2) = ONESIXTH *(C(2,I1)+C(2,I2)+C(2,I3))
KELEM(1,IE) = LAMBDA(1) * IEN(1,IE) + LAMBDA(2) * IEN(2,IE)
KELEM(2,IE) = LAMBDA(1) * IEN(3,IE) + LAMBDA(2) * IEN(4,IE)
KELEM(3,IE) = LAMBDA(1) * IEN(5,IE) + LAMBDA(2) * IEN(6,IE)
KTMP = KELEM(:,IE)
TMP = SUM(MIN(ZERO,KTMP))
N(IE) = - ONE/MIN(-THR,TMP)
KELEM(:,IE) = MAX(ZERO,KTMP)
FL11 = C(1,I2) * IEN(1,IE) + C(2,I2) * IEN(2,IE)
FL12 = C(1,I3) * IEN(1,IE) + C(2,I3) * IEN(2,IE)
FL21 = C(1,I3) * IEN(3,IE) + C(2,I3) * IEN(4,IE)
FL22 = C(1,I1) * IEN(3,IE) + C(2,I1) * IEN(4,IE)
FL31 = C(1,I1) * IEN(5,IE) + C(2,I1) * IEN(6,IE)
FL32 = C(1,I2) * IEN(5,IE) + C(2,I2) * IEN(6,IE)
FL111 = TWO*FL11+FL12
FL112 = TWO*FL12+FL11
FL211 = TWO*FL21+FL22
FL212 = TWO*FL22+FL21
FL311 = TWO*FL31+FL32
FL312 = TWO*FL32+FL31
FLALL(1,IE) = FL311 + FL212
FLALL(2,IE) = FL111 + FL312
FLALL(3,IE) = FL211 + FL112
END DO
! If the current field or water level changes estimate the iteration
! number based on the new flow field and the CFL number of the scheme
IF (LCALC) THEN
CALL CFL_COMPUTATION_BIN(IS, ID, KELEM, C)
END IF
DT4AI = DT4A/ITER_EXP(IS,ID)
DTSI(:) = DT4AI/SI(:)
!
! Loop over all sub time steps, all quantities in this loop depend
! on the solution U itself !!!
!
U(:) = AC2(IS,ID,:)
DO IT = 1, ITER_EXP(IS,ID)
ST = ZERO
DO IE = 1, MNE
NI = INE(:,IE)
FT = -ONESIXTH*DOT_PRODUCT(U(NI),FLALL(:,IE))
UTILDE = N(IE) * ( DOT_PRODUCT(KELEM(:,IE),U(NI)) - FT )
THETA_L(:) = KELEM(:,IE) * (U(NI) - UTILDE)
IF (ABS(FT) .GT. ZERO) THEN
BET1(:) = THETA_L(:)/FT
IF (ANY( BET1 .LT. ZERO) ) THEN
BETAHAT(1) = BET1(1) + ONEHALF * BET1(2)
BETAHAT(2) = BET1(2) + ONEHALF * BET1(3)
BETAHAT(3) = BET1(3) + ONEHALF * BET1(1)
BET1(1) = MAX(ZERO,MIN(BETAHAT(1), &
& ONE-BETAHAT(2),ONE))
BET1(2) = MAX(ZERO,MIN(BETAHAT(2), &
& ONE-BETAHAT(3),ONE))
BET1(3) = MAX(ZERO,MIN(BETAHAT(3), &
& ONE-BETAHAT(1),ONE))
THETA_L(:) = FT * BET1
END IF
ELSE
THETA_L(:) = ZERO
END IF
! the 2nd term are the theta values of each node ...
ST(NI) = ST(NI) + THETA_L
END DO
DO IP = 1, MNP
U(IP) = MAX(ZERO,U(IP)-DTSI(IP)*ST(IP)*IOBWB(IP))*IOBPD(ID,IP)*IOBDP(IP)
END DO
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(U) ! Exchange after each update of the res. domain
#endif
END DO ! ----> End Iteration
AC2(IS,ID,:) = U(:)
IF (LADVTEST) THEN
WRITE(4001) SNGL(RTIME)
WRITE(4001) (SNGL(C(1,IP)), SNGL(C(2,IP)), SNGL(AC2(1,1,IP)), &
& IP = 1, MNP)
CALL CHECKCONS(U,SUMAC2)
IF (MINVAL(U) .LT. MINTEST) MINTEST = MINVAL(U)
WRITE (DBG%FHNDL,*) 'VOLUMES AT T0, T1 and T2',SUMACt0, &
& SUMAC1, SUMAC2, MINTEST
WRITE (DBG%FHNDL,*) 'VOLUME ERROR: TOTAL and ACTUAL', &
& 100.0_rkind-((SUMACt0-SUMAC2)/SUMACt0)*100.0_rkind, &
& 100.0_rkind- ((SUMAC1-SUMAC2)/SUMAC1)*100.0_rkind
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE EXPLICIT_LFPSI_SCHEME_GSE(IS,ID)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IS,ID
!
! local integer
!
INTEGER :: IP, IE, IT, I, IDD, ICON, II
INTEGER :: I1, I2, I3, IGSE, NGSE, IPOS
INTEGER :: NI(3), GSE_SCHEME
!
! local double
!
REAL(rkind) :: FT
REAL(rkind) :: UTILDE
REAL(rkind) :: TMP(3), DFAK, GAM, DXX, DIFFA
REAL(rkind) :: LAMBDA(2), DT4AI, BBB, AAA
REAL(rkind) :: BET1(3), BETAHAT(3), BL
REAL(rkind) :: FL11,FL12,FL21,FL22,FL31,FL32
REAL(rkind) :: XYTMP(2,MNP), fnew
REAL(rkind) :: THETA_L(3,MNE), THETA_H(3), THETA_ACE(3,MNE), r0(2), DTHV(2)
REAL(rkind) :: UTMP(3), a_n, a_s, nn, ss, cct, avg_area, ratio, rrac(3)
REAL(rkind) :: WII(2,MNP), UL(MNP,3), RR(4,2), WI(3)
REAL(rkind) :: ST(MNP), PM(MNP), PP(MNP), SSS(2), NNN(2)
REAL(rkind) :: U3(3)
REAL(rkind) :: C(2,MNP), C_GSE1(2,MNP), C_GSE2(2,MNP), U(MNP), DTSI(MNP), N(MNE)
REAL(rkind) :: FL111, FL112, FL211, FL212, FL311, FL312
REAL(rkind) :: KELEM(3,MNE), FLALL(3,MNE), DIFFNN, DIFFSS
LOGICAL :: LSAME
!
! local parameter
!
GSE_SCHEME = 3
IF (GSE_SCHEME == 1) THEN
DFAK = 100.
NGSE = 3
ALPHA_GSE(1) = 0.25; ALPHA_GSE(2) = 0.5; ALPHA_GSE(3) = 0.25
! WRITE(*,*) IEND
!
BL = ZERO
!
! Calculate phase speeds for the certain spectral component ...
!
DO IGSE = 1, NGSE
IDD = ID + IGSE - NGSE + 1
IF (IDD == 0) THEN
IDD = NUMDIR
ELSE IF (IDD == NUMDIR + 1) THEN
IDD = 1
ENDIF
DO ip = 1, mnp
IF (IOBP(IP) .NE. 2) THEN
!UL(IP,IGSE) = 0.5*(AC1(IS,ID,IP)+AC1(IS,IDD,IP))/NGSE
UL(IP,IGSE) = AC1(IS,ID,IP)/NGSE
ELSE
!UL(IP,IGSE) = 0.5*(WBAC(IS,ID,1)+WBAC(IS,IDD,1))/NGSE
UL(IP,IGSE) = WBAC(IS,ID,1)/NGSE
ENDIF
ENDDO
CALL CADVXY(IS,ID ,C_GSE1)
CALL CADVXY(IS,IDD,C_GSE2)
!
! Calculate K-Values and contour based quantities ...
!
DO IE = 1, MNE
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
!C(1,I1) = .5*(C_GSE1(1,I1)+C_GSE2(1,I1))
!C(1,I2) = .5*(C_GSE1(1,I2)+C_GSE2(1,I2))
!C(1,I3) = .5*(C_GSE1(1,I3)+C_GSE2(1,I3))
!C(2,I1) = .5*(C_GSE1(2,I1)+C_GSE2(2,I1))
!C(2,I2) = .5*(C_GSE1(2,I2)+C_GSE2(2,I2))
!C(2,I3) = .5*(C_GSE1(2,I3)+C_GSE2(2,I3))
C(1,I1) = C_GSE2(1,I1)
C(1,I2) = C_GSE2(1,I2)
C(1,I3) = C_GSE2(1,I3)
C(2,I1) = C_GSE2(2,I1)
C(2,I2) = C_GSE2(2,I2)
C(2,I3) = C_GSE2(2,I3)
LAMBDA(1) = ONESIXTH *(C(1,I1)+C(1,I2)+C(1,I3))
LAMBDA(2) = ONESIXTH *(C(2,I1)+C(2,I2)+C(2,I3))
KELEM(1,IE) = LAMBDA(1) * IEN(1,IE) + LAMBDA(2) * IEN(2,IE)
KELEM(2,IE) = LAMBDA(1) * IEN(3,IE) + LAMBDA(2) * IEN(4,IE)
KELEM(3,IE) = LAMBDA(1) * IEN(5,IE) + LAMBDA(2) * IEN(6,IE)
N(IE) = - ONE/MIN(-THR,SUM(MIN(ZERO,KELEM(:,IE))))
FL11 = C(1,I2) * IEN(1,IE) + C(2,I2) * IEN(2,IE)
FL12 = C(1,I3) * IEN(1,IE) + C(2,I3) * IEN(2,IE)
FL21 = C(1,I3) * IEN(3,IE) + C(2,I3) * IEN(4,IE)
FL22 = C(1,I1) * IEN(3,IE) + C(2,I1) * IEN(4,IE)
FL31 = C(1,I1) * IEN(5,IE) + C(2,I1) * IEN(6,IE)
FL32 = C(1,I2) * IEN(5,IE) + C(2,I2) * IEN(6,IE)
FL111 = 2*FL11+FL12
FL112 = 2*FL12+FL11
FL211 = 2*FL21+FL22
FL212 = 2*FL22+FL21
FL311 = 2*FL31+FL32
FL312 = 2*FL32+FL31
FLALL(1,IE) = FL311 + FL212
FLALL(2,IE) = FL111 + FL312
FLALL(3,IE) = FL211 + FL112
END DO
! If the current field or water level changes estimate the iteration
! number based on the new flow field and the CFL number of the scheme
IF (LCALC) THEN
CALL CFL_COMPUTATION_BIN(IS, ID, KELEM, C)
END IF
DT4AI = DT4A/ITER_EXP(IS,ID)
DTSI(:) = DT4AI/SI(:)
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(UL(:,IGSE))
! CALL EXCHANGE_P2D(UL)
#endif
!
! Loop over all sub time steps, all quantities in this loop depend
! on the solution U itself !!!
!
DO IT = 1, ITER_EXP(IS,ID)
!
! Element loop
!
ST = ZERO
PM = ZERO
PP = ZERO
DO IE = 1, MNE
NI = INE(:,IE)
UTMP = UL(NI,IGSE)
FT = -ONESIXTH*DOT_PRODUCT(UTMP,FLALL(:,IE))
TMP = MAX(ZERO,KELEM(:,IE))
UTILDE = N(IE) * ( DOT_PRODUCT(TMP,UTMP) - FT )
THETA_L(:,IE) = TMP * ( UTMP - UTILDE )
IF (ABS(FT) .GT. ZERO) THEN
BET1(:) = THETA_L(:,IE)/FT
IF (ANY( BET1 .LT. ZERO) ) THEN
BETAHAT(1) = BET1(1) + ONEHALF * BET1(2)
BETAHAT(2) = BET1(2) + ONEHALF * BET1(3)
BETAHAT(3) = BET1(3) + ONEHALF * BET1(1)
BET1(1) = MAX(ZERO,MIN(BETAHAT(1),ONE-BETAHAT(2),ONE))
BET1(2) = MAX(ZERO,MIN(BETAHAT(2),ONE-BETAHAT(3),ONE))
BET1(3) = MAX(ZERO,MIN(BETAHAT(3),ONE-BETAHAT(1),ONE))
THETA_L(:,IE) = FT * BET1
END IF
ELSE
THETA_L(:,IE) = ZERO
END IF
ST(NI) = ST(NI) + THETA_L(:,IE)
THETA_H = (ONETHIRD+DT4AI/(TWO*TRIA(IE)) * KELEM(:,IE) ) * FT ! LAX
! THETA_H = (ONETHIRD+TWOTHIRD*KELEM(:,IE)/SUM(MAX(ZERO,KELEM(:,IE))))*FT ! CENTRAL
THETA_ACE(:,IE) = THETA_H-THETA_L(:,IE)
PP(NI) = PP(NI) + MAX(ZERO, -THETA_ACE(:,IE)) * DTSI(NI)
PM(NI) = PM(NI) + MIN(ZERO, -THETA_ACE(:,IE)) * DTSI(NI)
END DO
DO IP = 1, MNP
UL(IP,IGSE) = MAX(ZERO,UL(IP,IGSE)-DTSI(IP)*ST(IP)*IOBWB(IP))*IOBPD(ID,IP)*IOBDP(IP)
ENDDO
#ifdef MPI_PARALL_GRID
CALL EXCHANGE_P2D(UL(:,IGSE)) ! Exchange after each update of the res. domain
#endif
END DO ! ----> End Iteration
END DO ! ..... END GSE Loop
DO IP = 1, MNP
!IF (IOBP(IP) .NE. 2) THEN
AC2(IS,ID,IP) = UL(IP,1) + UL(IP,2) + UL(IP,3)
!ELSE
! AC2(IS,ID,IP) = WBAC(IS,ID,1)
!ENDIF
END DO
ELSE IF (GSE_SCHEME == 2) THEN
XYTMP(:,1) = XP
XYTMP(:,2) = YP
CALL CADVXY(IS,ID,C)
a_s = 0.5
a_n = 0.5
DO IP = 1, MNP
IF (IOBP(IP) .NE. 0) CYCLE
r0(1) = xp(ip)
r0(2) = yp(ip)
! Compute extent of the averaging region
cct = sqrt(c(1,ip)**2+c(2,ip)**2)
dxx = sqrt(si(ip))
gam = ONE + FRINTF
nn = a_s * (GAM-ONE/GAM) * CCT * DT4A
ss = a_n * DDIR * CCT * DT4A
! diffusion vel. vectors in wave and cross wave direction
sss(1) = 0.5 * a_s * (GAM-ONE/GAM) * CCT * costh(id)
sss(2) = 0.5 * a_s * (GAM-ONE/GAM) * CCT * sinth(id)
nnn(1) = - a_n * DDIR * CCT * sinth(id)
nnn(2) = a_n * DDIR * CCT * costh(id)
! rr(1,:) = sss + nnn + r0
! rr(2,:) = -sss + nnn + r0
! rr(3,:) = -sss - nnn + r0
! rr(4,:) = sss - nnn + r0
! ratio = sqrt(nnn(1)**2+nnn(2)**2)/(sqrt(nnn(1)**2+nnn(2)**2)+sqrt(sss(1)**2+sss(2)**2))
! avg_area = nn * ss
if (ip == 10001 .and. .false.) then
write(100001,'(A)') 'C -------------------------'
write(*,*) 'sss and nnn', GAM-ONE/GAM, ss, nn, DT4A
write(*,*) sss
write(*,*) nnn
write(*,*) 'rrrs'
write(*,*) rr(1,:)
write(*,*) rr(2,:)
write(*,*) rr(3,:)
write(*,*) rr(4,:)
do ii = 1, 4
write(100001,'(I10,3F15.6)') ii,rr(ii,1),rr(ii,2),0.
!write(*,*) maxval(xp), minval(xp), maxval(yp), minval(yp)
!CALL FIND_ELE(MNE, MNP, INE, XYTMP, rr(ii,1), rr(ii,2), IELEM)
!write(*,*) ielem
enddo
write(100001,'(I10,3F15.6)') ii,rr(1,1),rr(1,2),0.
write(100001,'(A)') '-1'
call flush(100001)
write(*,'(I10,8F20.10)') ip, cct, nn, ss, ratio, avg_area, DT4A
write(*,*) size(si), si(ip)
endif
DO II = 1, 4
DO ICON = 1, CCON(IP)
! Interpolate Wave Action on the corners of the averaging region
IE = IE_CELL2(IP,ICON)
IPOS = POS_CELL2(IP,ICON)
NI = INE(:,IE)
LSAME = .FALSE.
CALL INTELEMENT_COEF(XP(NI),YP(NI),RR(ii,1),RR(ii,2),Wi)
IF (.NOT. ANY(WI .LE. 0._rkind)) THEN
RRAC(II) = dot_product(wi,ac2(is,id,ni))
!WRITE(*,*) 'TEST TEST TEST'
!WRITE(*,'(10I10)') IP, IE, II, IS, ID, ICON, IOBP(IP)
!WRITE(*,*) XP(NI)
!WRITE(*,*) YP(NI)
!WRITE(*,*) WI, IPOS
!WRITE(*,*) RR(II,:)
!WRITE(*,*) RRAC(II)
!WRITE(*,*) 'TEST TEST TEST'
END IF
END DO ! ICON
ENDDO ! II
FNEW = 1._rkind/6._rkind * sum(RRAC) + 1._rkind/3._rkind * AC2(is,id,ip)
DIFFA = FNEW - AC2(is,id,ip)
DIFFNN = RATIO * DIFFA
DIFFSS = (1._rkind - RATIO) * DIFFA
!IF (FNEW .GT. -THR8) THEN
! WRITE(*,'(2I10,5F22.12)') IP, ID, DIFFA, DIFFNN, DIFFSS, AC2(is,id,ip), RATIO
!ELSE
! WRITE(*,*) FNEW, RRAC, IP, IOBP(IP)
! STOP 'NEGATIVE ENERGY'
!ENDIF
IF (IS == 1 .and. ip == 10000) WRITE(*,*) IS, ID, COSTH(ID), SINTH(ID)
!IF (IS == 1 .AND. IP == 10000) WRITE(*,*) DIFFA, COSTH(ID), SINTH(ID)
END DO
ELSE IF (GSE_SCHEME == 3) THEN
DO IP = 1, MNP
sss(1) = 0.5 * a_s * (GAM-ONE/GAM) * CCT * DT4A * costh(id)
sss(2) = 0.5 * a_s * (GAM-ONE/GAM) * CCT * DT4A * sinth(id)
nnn(1) = - a_n * DDIR * CCT * DT4A * sinth(id)
nnn(2) = a_n * DDIR * CCT * DT4A * costh(id)
aaa = sqrt(nnn(1)**2+nnn(2)**2)
bbb = sqrt(sss(1)**2+sss(2)**2)
DO I = 1, CON_IP(IP)
WRITE(*,*) IP, I, CON_IP(IP), IP_CON(I,IP), XP(I), YP(I)
DTHV(1) = XP(I)-XP(IP)
DTHV(2) = YP(I)-YP(IP)
END DO
ENDDO
ENDIF
IF (LADVTEST) THEN
WRITE(4001) SNGL(RTIME)
WRITE(4001) (SNGL(C(1,IP)), SNGL(C(2,IP)), SNGL(AC2(1,1,IP)), IP = 1, MNP)
CALL CHECKCONS(AC2(1,1,:),SUMAC2)
IF (MINVAL(AC2(1,1,:)) .LT. MINTEST) MINTEST = MINVAL(U)
WRITE (*,*) 'VOLUMES AT T0, T1 and T2',SUMACt0, &
& SUMAC1, SUMAC2, MINTEST
WRITE (*,*) 'VOLUME ERROR: TOTAL and ACTUAL', &
& 100.0_rkind-((SUMACt0-SUMAC2)/SUMACt0)*100.0_rkind, &
& 100.0_rkind- ((SUMAC1-SUMAC2)/SUMAC1)*100.0_rkind
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE EXPLICIT_LFPSI_SCHEME(IS,ID)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IS,ID
!
! local integer
!
INTEGER :: IP, IE, IT, I, J
INTEGER :: I1, I2, I3
INTEGER :: NI(3)
!
! local double
!