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wwm_numtheta.F90
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wwm_numtheta.F90
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#include "wwm_functions.h"
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION_CNTG_A
!
! *** Crank - Nicolson Method ( Implicit )
!
USE DATAPOOL
IMPLICIT NONE
LOGICAL :: ISEQ0
REAL(rkind) :: GF(MDC)
REAL(rkind) :: AMAT(3,MDC)
REAL(rkind) :: TMPAC(MDC)
REAL(rkind) :: CAD(MSC,MDC)
INTEGER :: ID1, ID2
INTEGER :: IP, IS, ID, IT, ISTEP
REAL(rkind) :: AUX1, AUX2, REST, DT4DI
REAL(rkind) :: AM1 ! Lower Left Element
REAL(rkind) :: A1M ! Upper Right Element
REAL(rkind) :: CFLCAD
TMPAC(:) = 0.0
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPTHETA(IP,CAD)
DO IS = 1, MSC
GF(:) = 0.0
AMAT(:,:) = 0.0
TMPAC(:) = AC2(IS,:,IP)
CFLCAD = MAXVAL(ABS(CAD(IS,:))/DDIR * DT4D)
IF (ISEQ0(CFLCAD)) CYCLE
REST = ABS(MOD(CFLCAD,1.0_rkind))
IF (REST .GT. THR .AND. REST .LT. 0.5) THEN
ISTEP = ABS(NINT(CFLCAD)) + 1
ELSE
ISTEP = ABS(NINT(CFLCAD))
END IF
DT4DI = DT4D/MyREAL(ISTEP)
DO IT = 1, ISTEP
DO ID = 1, MDC ! Start Iteration
ID1 = ID - 1
ID2 = ID + 1
IF (ID == 1) THEN
ID1 = MDC
AUX1 = (DT4DI/DDIR/2.0*CAD(IS,ID1))
A1M = -1.0*AUX1*RTHETA
ELSE
AUX1 = (DT4DI/DDIR/2.0*CAD(IS,ID1))
AMAT(1,ID) = -1.0*AUX1*RTHETA
END IF
AMAT(2,ID) = 1.0
IF (ID == MDC) THEN
ID2 = 1
AUX2 = (DT4DI/DDIR/2.0*CAD(IS,ID2))
AM1 = AUX2*RTHETA
ELSE
AUX2 = (DT4DI/DDIR/2.0*CAD(IS,ID2))
AMAT(3,ID) = AUX2*RTHETA
END IF
GF(ID) = TMPAC(ID)-(1.0-RTHETA)*(AUX2*TMPAC(ID2)-AUX1*TMPAC(ID1) )
END DO
CALL GAUS1D (MDC, AMAT, GF, AM1, A1M)
TMPAC(:) = GF(:)
END DO ! End Iteration
AC2(IS,:,IP) = TMPAC(:)
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION_QUICKEST_A
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID
INTEGER :: IT, ITER
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: ACQ(0:MDC+1)
REAL(rkind) :: CADS(0:MDC+1)
REAL(rkind) :: DT4DI
REAL(rkind) :: REST
REAL(rkind) :: CFLCAD
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP& SHARED(AC2,SI,DAC_THE,DT4D,DDIR,LCIRD,LTHBOUND,MNP, &
!$OMP& MSC,MDC,WK,DEP,DMIN,CURTXY,ICOMP,IOBP,DAC_ADV,DAC_SIG,DAC_SOU) &
!$OMP& PRIVATE(IP,IS,DT4DI,ITER,CFLCAD,REST,CADS,CAD,ACQ)
!$OMP DO
DO IP = 1, MNP
! IF (LQSTEA .AND. IP_IS_STEADY(IP) .EQ. 1) CYCLE
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. IOBP(IP) .EQ. 3) .AND. .NOT. LTHBOUND) CYCLE ! skip boudary points if set so ...
IF (DEP(IP) .LT. DMIN) CYCLE ! skip dry nodes ...
IF (IOBP(IP) .EQ. 2) CYCLE ! skip active boundary points ...
CALL PROPTHETA(IP,CAD)
DO IS = 1, MSC
ACQ(1:MDC) = AC2(IS,:,IP)
CADS(1:MDC) = CAD(IS,:)
CFLCAD = MAXVAL(ABS(CAD(IS,:)))*DT4D/DDIR
IF (CFLCAD .LT. THR) CYCLE
REST = ABS(MOD(CFLCAD,1.0_rkind))
IF (REST .GT. THR .AND. REST .LT. 0.5) THEN
ITER = ABS(NINT(CFLCAD)) + 1
ELSE
ITER = ABS(NINT(CFLCAD))
END IF
ITER = MAX(1,ITER)
DT4DI = DT4D / MyREAL(ITER)
DO IT = 1, ITER ! Iteration
CALL QUICKEST_DIR(MDC,LCIRD,ACQ,CADS,DT4DI,DDIR)
END DO ! end Interation
AC2(IS,:,IP) = MAX(ZERO,ACQ(1:MDC))
END DO
END DO
!$OMP END DO NOWAIT
!$OMP END PARALLEL
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION_UPWIND_A
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID, IT, ISTEP, ID1, ID2
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: TMP(MDC), REST, CFLCAD, DT4DI
REAL(rkind) :: LP(MDC), LM(MDC), CP(MDC), CM(MDC), U0(MDC)
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPTHETA(IP,CAD)
DO IS = 1, MSC
U0(:) = AC2(IS,:,IP)
CP(:) = MAX(ZERO,CAD(IS,:))
CM(:) = MIN(ZERO,CAD(IS,:))
CFLCAD = MAXVAL ( ABS(CAD(IS,:))*DT4D/DDIR )
REST = ABS(MOD(CFLCAD,1._rkind))
IF (CFLCAD .LT. THR) CYCLE
REST = ABS(MOD(CFLCAD,1._rkind))
IF (REST .GT. THR .AND. REST .LT. 0.5_rkind) THEN
ISTEP = ABS(NINT(CFLCAD)) + 1
ELSE
ISTEP = ABS(NINT(CFLCAD))
END IF
DT4DI = DT4D / MyREAL(ISTEP)
DO IT = 1, ISTEP
DO ID = 1, MDC
ID1 = ID - 1
ID2 = ID + 1
IF (ID .EQ. 1) ID1 = MDC
IF (ID .EQ. MDC) ID2 = 1
LP(ID) = - 1./DDIR * ( CP(ID1) * U0(ID1) - CP(ID) * U0(ID) )
LM(ID) = - 1./DDIR * ( CM(ID2) * U0(ID2) - CM(ID) * U0(ID) )
TMP(ID) = U0(ID) - DT4DI * ( -LM(ID) + LP(ID) )
END DO
TMP(ID) = TMP(1) ! That lines looks dangerous memorywise
! and useless.
U0(:) = TMP(:)
END DO
AC2(IS,:,IP) = MAX(0._rkind,U0(:))
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION_UPWIND_IMPLICIT
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID, IT, ISTEP, ID1, ID2
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: TMP(MDC)
REAL(rkind) :: LP(MDC), LM(MDC), CP(MDC), CM(MDC), U0(MDC)
REAL(rkind) :: EMAT(MDC,MDC)
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPTHETA(IP,CAD)
DO IS = 1, MSC
U0 = AC2(IS,:,IP)
CP = MAX(ZERO,CAD(IS,:))
CM = MIN(ZERO,CAD(IS,:))
EMAT=ZERO
DO ID=1,MDC
ID1 = ID - 1
ID2 = ID + 1
IF (ID .EQ. 1) ID1 = MDC
IF (ID .EQ. MDC) ID2 = 1
EMAT(ID,ID ) = 1 + (DT4D/DDIR) * (CP(ID) - CM(ID))
EMAT(ID,ID1) = - (DT4D/DDIR) * CP(ID1)
EMAT(ID,ID2) = (DT4D/DDIR) * CM(ID2)
END DO
CALL GAUSS_SOLVER(MDC, EMAT, TMP, U0)
AC2(IS,:,IP) = MAX(0._rkind,TMP)
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION_WENO_A
USE DATAPOOL
IMPLICIT NONE
INTEGER :: ISTEP
INTEGER :: IP, IS, ID, IT
INTEGER :: ID1, ID11, ID2, ID22, ID23
REAL(rkind) :: L(MDC), FLP(MDC)
REAL(rkind) :: FLM(MDC), NFLP(MDC), NFLM(MDC)
REAL(rkind) :: CP(MDC), CM(MDC)
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: WP1, WP2, WP3, WM1, WM2, WM3
REAL(rkind) :: WI_P1, WI_P2, WI_P3, WI_M1, WI_M2, WI_M3
REAL(rkind) :: FO_FLP1, FO_FLP2, FO_FLP3, FO_FLM1, FO_FLM2, FO_FLM3, EPS, REST
REAL(rkind) :: TMP, TMP1, TMP2, TMP3
REAL(rkind) :: BETAM1, BETAM2,BETAM3, BETAP1, BETAP2,BETAP3
REAL(rkind) :: U0(MDC), U1(MDC), U2(MDC), U3(MDC)
REAL(rkind) :: FLPID, FLPID1, FLPID11, FLPID2, FLPID22
REAL(rkind) :: FLMID, FLMID1, FLMID2, FLMID22, FLMID23
REAL(rkind) :: AP11, AP12, AP13, AP21, AP22, AP23, AP31, AP32, AP33
REAL(rkind) :: BP1, BP2, GAMMA1, GAMMA2, GAMMA3, CFLCAD, DT4DI
EPS = 10E-10_rkind
GAMMA1 = 0.1_rkind
GAMMA2 = 0.6_rkind
GAMMA3 = 0.3_rkind
AP11 = (2.0_rkind)/(6.0_rkind)
AP12 = -(7.0_rkind)/(6.0_rkind)
AP13 = (11.0_rkind)/(6.0_rkind)
AP21 = -(1.0_rkind)/(6.0_rkind)
AP22 = (5.0_rkind)/(6.0_rkind)
AP23 = (2.0_rkind)/(6.0_rkind)
AP31 = (2.0_rkind)/(6.0_rkind)
AP32 = (5.0_rkind)/(6.0_rkind)
AP33 = -(1.0_rkind)/(6.0_rkind)
BP1 = (13.0_rkind)/(12.0_rkind)
BP2 = (1.0_rkind)/(4.0_rkind)
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPTHETA(IP,CAD)
DO IS = 1, MSC
U0(:) = AC2(IS,:,IP)
CP(:) = MAX(ZERO,CAD(IS,:))
CM(:) = MIN(ZERO,CAD(IS,:))
CFLCAD = MAXVAL(ABS(CAD(IS,:)))*DT4D/DDIR
REST = ABS(MOD(CFLCAD,ONE))
ISTEP = ABS(NINT(CFLCAD)) + 1
DT4DI = DT4D / MyREAL(ISTEP)
DO IT = 1, ISTEP
FLP(:) = CP(:) * U0(:)
FLM(:) = CM(:) * U0(:)
DO ID = 1, MDC
ID1 = ID - 1
ID11 = ID - 2
ID2 = ID + 1
ID22 = ID + 2
ID23 = ID + 3
IF (ID .EQ. 1) THEN
ID1 = MDC
ID11 = MDC - 1
ELSE IF (ID .EQ. 2) THEN
ID11 = MDC
ELSE IF (ID .EQ. MDC - 2) THEN
ID23 = 1
ELSE IF (ID .EQ. MDC - 1) THEN
ID22 = 1
ID23 = 2
ELSE IF (ID .EQ. MDC) THEN
ID2 = 1
ID22 = 2
ID23 = 3
END IF
FLPID = FLP(ID)
FLPID1 = FLP(ID1)
FLPID11 = FLP(ID11)
FLPID2 = FLP(ID2)
FLPID22 = FLP(ID22)
FLMID = FLM(ID)
FLMID1 = FLM(ID1)
FLMID2 = FLM(ID2)
FLMID22 = FLM(ID22)
FLMID23 = FLM(ID23)
FO_FLP1 = AP11 * FLPID11 + AP12 * FLPID1 + AP13 * FLPID
FO_FLP2 = AP21 * FLPID1 + AP22 * FLPID + AP23 * FLPID2
FO_FLP3 = AP31 * FLPID + AP32 * FLPID2 + AP33 * FLPID22
FO_FLM1 = AP33 * FLMID1 + AP32 * FLMID + AP31 * FLMID2
FO_FLM2 = AP23 * FLMID + AP22 * FLMID2 + AP21 * FLMID22
FO_FLM3 = AP13 * FLMID2 + AP12 * FLMID22 + AP11 * FLMID23
BETAP1= BP1 * (FLPID11-2.*FLPID1+FLPID )**2+BP2*( FLPID11-4.*FLPID1+3.* FLPID )**2
BETAP2= BP1 * (FLPID1 -2.*FLPID+FLPID2 )**2+BP2*( FLPID1 - FLPID2 )**2
BETAP3= BP1 * (FLPID -2.*FLPID2+FLPID22)**2+BP2*(3.* FLPID -4.*FLPID2+ FLPID22)**2
BETAM1= BP1 * (FLMID2-2.*FLMID22+FLMID23)**2+BP2*( FLMID2-4.*FLMID22+3.* FLMID23)**2
BETAM2= BP1 * (FLMID -2.*FLMID2 +FLMID22)**2+BP2*( FLMID - FLMID22)**2
BETAM3= BP1 * (FLMID1-2.*FLMID +FLMID2 )**2+BP2*(3.* FLMID1-4.*FLMID + FLMID2 )**2
TMP = 1./(EPS + BETAP1)
WP1 = GAMMA1 * TMP * TMP
TMP = 1./(EPS + BETAP2)
WP2 = GAMMA2 * TMP * TMP
TMP = 1./(EPS + BETAP3)
WP3 = GAMMA3 * TMP * TMP
TMP = 1./(EPS + BETAM1)
WM1 = GAMMA1 * TMP * TMP
TMP = 1./(EPS + BETAM2)
WM2 = GAMMA2 * TMP * TMP
TMP = 1./(EPS + BETAM3)
WM3 = GAMMA3 * TMP * TMP
TMP = 1./(WP1+WP2+WP3)
WI_P1 = WP1*TMP
WI_P2 = WP2*TMP
WI_P3 = WP3*TMP
TMP = 1./(WM1+WM2+WM3)
WI_M1 = WM1*TMP
WI_M2 = WM2*TMP
WI_M3 = WM3*TMP
NFLP(ID) = WI_P1 * FO_FLP1 + WI_P2 * FO_FLP2 + WI_P3 * FO_FLP3
NFLM(ID) = WI_M3 * FO_FLM1 + WI_M2 * FO_FLM2 + WI_M1 * FO_FLM3
END DO
DO ID = 1, MDC
ID1 = ID - 1
IF (ID .EQ. 1) ID1 = MDC
L(ID) = 1./DDIR * ( (NFLP(ID)-NFLP(ID1)) + (NFLM(ID)-NFLM(ID1)) )
END DO
DO ID = 1, MDC
U1(ID) = U0(ID) - DT4DI * L(ID)
END DO
FLP(:) = CP(:) * U1(:)
FLM(:) = CM(:) * U1(:)
DO ID = 1, MDC
ID1 = ID - 1
ID11 = ID - 2
ID2 = ID + 1
ID22 = ID + 2
ID23 = ID + 3
IF (ID .EQ. 1) THEN
ID1 = MDC
ID11 = MDC - 1
ELSE IF (ID .EQ. 2) THEN
ID11 = MDC
ELSE IF (ID .EQ. MDC - 2) THEN
ID23 = 1
ELSE IF (ID .EQ. MDC - 1) THEN
ID22 = 1
ID23 = 2
ELSE IF (ID .EQ. MDC) THEN
ID2 = 1
ID22 = 2
ID23 = 3
END IF
FLPID = FLP(ID)
FLPID1 = FLP(ID1)
FLPID11 = FLP(ID11)
FLPID2 = FLP(ID2)
FLPID22 = FLP(ID22)
FLMID = FLM(ID)
FLMID1 = FLM(ID1)
FLMID2 = FLM(ID2)
FLMID22 = FLM(ID22)
FLMID23 = FLM(ID23)
FO_FLP1 = AP11 * FLPID11 + AP12 * FLPID1 + AP13 * FLPID
FO_FLP2 = AP21 * FLPID1 + AP22 * FLPID + AP23 * FLPID2
FO_FLP3 = AP31 * FLPID + AP32 * FLPID2 + AP33 * FLPID22
FO_FLM1 = AP33 * FLMID1 + AP32 * FLMID + AP31 * FLMID2
FO_FLM2 = AP23 * FLMID + AP22 * FLMID2 + AP21 * FLMID22
FO_FLM3 = AP13 * FLMID2 + AP12 * FLMID22 + AP11 * FLMID23
BETAP1= BP1 * (FLPID11-2*FLPID1+FLPID )**2+BP2*( FLPID11-4.*FLPID1+3.* FLPID )**2
BETAP2= BP1 * (FLPID1 -2*FLPID+FLPID2 )**2+BP2*( FLPID1 - FLPID2 )**2
BETAP3= BP1 * (FLPID -2*FLPID2+FLPID22)**2+BP2*(3.* FLPID -4.*FLPID2+ FLPID22)**2
BETAM1= BP1 * (FLMID2-2*FLMID22+FLMID23)**2+BP2*( FLMID2-4.*FLMID22+3.* FLMID23)**2
BETAM2= BP1 * (FLMID -2*FLMID2 +FLMID22)**2+BP2*( FLMID - FLMID22)**2
BETAM3= BP1 * (FLMID1-2*FLMID +FLMID2 )**2+BP2*(3.* FLMID1-4.*FLMID + FLMID2 )**2
TMP1 = 1./(EPS + BETAP1)
WP1 = GAMMA1 * TMP1 * TMP1
TMP2 = 1./(EPS + BETAP2)
WP2 = GAMMA2 * TMP2 * TMP2
TMP3 = 1./(EPS + BETAP3)
WP3 = GAMMA3 * TMP3 * TMP3
TMP1 = 1./(EPS + BETAM1)
WM1 = GAMMA1 * TMP1 * TMP1
TMP2 = 1./(EPS + BETAM2)
WM2 = GAMMA2 * TMP2 * TMP2
TMP3 = 1./(EPS + BETAM3)
WM3 = GAMMA3 * TMP3 * TMP3
TMP = 1./(WP1+WP2+WP3)
WI_P1 = WP1*TMP
WI_P2 = WP2*TMP
WI_P3 = WP3*TMP
TMP = 1./(WM1+WM2+WM3)
WI_M1 = WM1*TMP
WI_M2 = WM2*TMP
WI_M3 = WM3*TMP
NFLP(ID) = WI_P1 * FO_FLP1 + WI_P2 * FO_FLP2 + WI_P3 * FO_FLP3
NFLM(ID) = WI_M3 * FO_FLM1 + WI_M2 * FO_FLM2 + WI_M1 * FO_FLM3
END DO
DO ID = 1, MDC
ID1 = ID - 1
IF (ID .EQ. 1) ID1 = MDC
L(ID) = 1./DDIR * ( (NFLP(ID)-NFLP(ID1)) + (NFLM(ID)-NFLM(ID1)) )
END DO
DO ID = 1, MDC
U2(ID) = 3./4. * U0(ID) + 1./4. * U1(ID) - 1./4. * DT4DI * L(ID)
END DO
FLP(:) = CP(:) * U2(:)
FLM(:) = CM(:) * U2(:)
DO ID = 1, MDC
ID1 = ID - 1
ID11 = ID - 2
ID2 = ID + 1
ID22 = ID + 2
ID23 = ID + 3
IF (ID .EQ. 1) THEN
ID1 = MDC
ID11 = MDC - 1
ELSE IF (ID .EQ. 2) THEN
ID11 = MDC
ELSE IF (ID .EQ. MDC - 2) THEN
ID23 = 1
ELSE IF (ID .EQ. MDC - 1) THEN
ID22 = 1
ID23 = 2
ELSE IF (ID .EQ. MDC) THEN
ID2 = 1
ID22 = 2
ID23 = 3
END IF
FLPID = FLP(ID)
FLPID1 = FLP(ID1)
FLPID11 = FLP(ID11)
FLPID2 = FLP(ID2)
FLPID22 = FLP(ID22)
FLMID = FLM(ID)
FLMID1 = FLM(ID1)
FLMID2 = FLM(ID2)
FLMID22 = FLM(ID22)
FLMID23 = FLM(ID23)
FO_FLP1 = AP11 * FLPID11 + AP12 * FLPID1 + AP13 * FLPID
FO_FLP2 = AP21 * FLPID1 + AP22 * FLPID + AP23 * FLPID2
FO_FLP3 = AP31 * FLPID + AP32 * FLPID2 + AP33 * FLPID22
FO_FLM1 = AP33 * FLMID1 + AP32 * FLMID + AP31 * FLMID2
FO_FLM2 = AP23 * FLMID + AP22 * FLMID2 + AP21 * FLMID22
FO_FLM3 = AP13 * FLMID2 + AP12 * FLMID22 + AP11 * FLMID23
BETAP1= BP1 * (FLPID11-2*FLPID1+FLPID )**2+BP2*( FLPID11-4.*FLPID1+3.* FLPID )**2
BETAP2= BP1 * (FLPID1 -2*FLPID+FLPID2 )**2+BP2*( FLPID1 - FLPID2 )**2
BETAP3= BP1 * (FLPID -2*FLPID2+FLPID22)**2+BP2*(3.* FLPID -4.*FLPID2+ FLPID22)**2
BETAM1= BP1 * (FLMID2-2*FLMID22+FLMID23)**2+BP2*( FLMID2-4.*FLMID22+3.* FLMID23)**2
BETAM2= BP1 * (FLMID -2*FLMID2 +FLMID22)**2+BP2*( FLMID - FLMID22)**2
BETAM3= BP1 * (FLMID1-2*FLMID +FLMID2 )**2+BP2*(3.* FLMID1-4.*FLMID + FLMID2 )**2
TMP = 1./(EPS + BETAP1)
WP1 = GAMMA1 * TMP * TMP
TMP = 1./(EPS + BETAP2)
WP2 = GAMMA2 * TMP * TMP
TMP = 1./(EPS + BETAP3)
WP3 = GAMMA3 * TMP * TMP
TMP = 1./(EPS + BETAM1)
WM1 = GAMMA1 * TMP * TMP
TMP = 1./(EPS + BETAM2)
WM2 = GAMMA2 * TMP * TMP
TMP = 1./(EPS + BETAM3)
WM3 = GAMMA3 * TMP * TMP
TMP = 1./(WP1+WP2+WP3)
WI_P1 = WP1*TMP
WI_P2 = WP2*TMP
WI_P3 = WP3*TMP
TMP = 1./(WM1+WM2+WM3)
WI_M1 = WM1*TMP
WI_M2 = WM2*TMP
WI_M3 = WM3*TMP
NFLP(ID) = WI_P1 * FO_FLP1 + WI_P2 * FO_FLP2 + WI_P3 * FO_FLP3
NFLM(ID) = WI_M3 * FO_FLM1 + WI_M2 * FO_FLM2 + WI_M1 * FO_FLM3
END DO
DO ID = 1, MDC
ID1 = ID - 1
IF (ID .EQ. 1) ID1 = MDC
L(ID) = 1./DDIR * ( (NFLP(ID)-NFLP(ID1)) + (NFLM(ID)-NFLM(ID1)) )
END DO
DO ID = 1, MDC
U3(ID) = 1./3. * U0(ID) + 2./3. * U2(ID) - 2./3. * DT4DI * L(ID)
END DO
U0(:) = U3(:)
END DO
AC2(IS,:,IP) = MAX(ZERO,MyREAL(U3(:)))
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE PROPTHETA(IP,CAD)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IP
REAL(rkind), INTENT(OUT) :: CAD(MSC,MDC)
INTEGER :: IS, ID
REAL(rkind) :: WKDEP, DWDH, CFL
CAD = 0.
SELECT CASE (DIMMODE)
CASE (1)
IF (DEP(IP) .GT. DMIN) THEN ! ar: obsolete check since done in calling routine ...
DO IS = 1, MSC
WKDEP = WK(IS,IP) * DEP(IP)
IF (WKDEP .LT. 13.) THEN
DWDH = SPSIG(IS)/SINH(MIN(KDMAX,TWO*WKDEP))
DO ID = 1, MDC
CAD(IS,ID) = DWDH*(SINTH(ID)*DDEP(IP,1))
END DO
END IF
END DO
IF (LSTCU .OR. LSECU) THEN
DO IS = 1, MSC
DO ID = 1, MDC
CAD(IS,ID) = CAD(IS,ID) + SIN2TH(ID)*DCUY(IP,1) + COSTH(ID)*DCUX(IP,1)
END DO
END DO
END IF
END IF
CASE (2)
IF (DEP(IP) .GT. DMIN) THEN
DO IS = 1, MSC
WKDEP = WK(IS,IP) * DEP(IP)
IF (WKDEP .LT. 13.) THEN
DWDH = SPSIG(IS)/SINH(MIN(KDMAX,2.*WKDEP))
!AR: Joseph: There is a small very tiny different in terms of CPU
!when we do refraction ... it has something to do with the depth
!gradients ...
DO ID = 1, MDC
CAD(IS,ID) = DWDH * ( SINTH(ID)*DDEP(IP,1)-COSTH(ID)*DDEP(IP,2) )
END DO
ENDIF
END DO
IF (LSTCU .OR. LSECU) THEN
DO IS = 1, MSC
DO ID = 1, MDC
CAD(IS,ID) = CAD(IS,ID) + SIN2TH(ID)*DCUY(IP,1)-COS2TH(ID)*DCUX(IP,2)+SINCOSTH(ID)*( DCUX(IP,1)-DCUY(IP,2) )
END DO
END DO
END IF
IF (LDIFR) THEN
DO IS = 1, MSC
DO ID = 1, MDC
CAD(IS,ID) = DIFRM(IP)*CAD(IS,ID)-CG(IS,IP)*(DIFRX(IP)*SINTH(ID)-DIFRY(IP)*COSTH(ID))
END DO
END DO
END IF
ELSE
CAD = 0.
END IF
CASE DEFAULT
CALL WWM_ABORT('PROPTHETA')
END SELECT
IF (LSPHE) THEN
DO IS = 1, MSC
DO ID = 1, MDC
CAD(IS,ID) = CAD(IS,ID)-CG(IS,IP)*COSTH(ID)*TAN(YP(IP)*DEGRAD)/REARTH
!WRITE(*,*) IS, ID, CG(IS,IP), COSTH(ID), TAN(YP(IP)*DEGRAD)/REARTH
END DO
END DO
END IF
IF (LFILTERTH) THEN
DO IS = 1, MSC
CFL = MAXVAL(ABS(CAD(IS,:)))*DT4D/DDIR
IF (CFL .GT. MAXCFLTH) THEN
DO ID = 1, MDC
CAD(IS,ID) = MAXCFLTH/CFL*CAD(IS,ID)
END DO
END IF
END DO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIRECTION
USE DATAPOOL
IMPLICIT NONE
WRITE(STAT%FHNDL,'("+TRACE...",A)') 'ENTERING COMPUTE_DIRECTION'
FLUSH(STAT%FHNDL)
IF (DMETHOD > 0) THEN
IF (DMETHOD == 1) THEN
CALL COMPUTE_DIRECTION_CNTG_A
ELSE IF (DMETHOD == 2) THEN
CALL COMPUTE_DIRECTION_QUICKEST_A
ELSE IF (DMETHOD == 3) THEN
CALL COMPUTE_DIRECTION_WENO_A
ELSE IF (DMETHOD == 4) THEN
CALL COMPUTE_DIRECTION_UPWIND_A
ELSE IF (DMETHOD == 5) THEN
CALL COMPUTE_DIRECTION_UPWIND_IMPLICIT
END IF
END IF
WRITE(STAT%FHNDL,'("+TRACE...",A)') 'FINISHED COMPUTE_DIRECTION'
FLUSH(STAT%FHNDL)
IF ( DMETHOD == 1) CALL RESCALE_SPECTRUM
END SUBROUTINE COMPUTE_DIRECTION
!**********************************************************************
!* *
!**********************************************************************