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wwm_numsigma.F90
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#include "wwm_functions.h"
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_FREQUENCY_QUICKEST_A
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, ID, IT, ITER
LOGICAL :: ISEQ0
REAL(rkind) :: CAS(NUMSIG,NUMDIR)
REAL(rkind) :: ACQ (0:NUMSIG+1)
REAL(rkind) :: CASS(0:NUMSIG+1)
REAL(rkind) :: REST, DT4FI, CFLCAS
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP& SHARED(AC2,WK,DEP,CURTXY,DS_BAND,DS_INCR,IOBP,DT4F, &
!$OMP& IITERSPLIT,LSIGBOUND,DDIR,TAIL_ARR,MNP, &
!$OMP& NUMSIG,NUMDIR,DMIN,DAC_SIG,DAC_ADV,DAC_THE,DAC_SOU) &
!$OMP& PRIVATE(IP,IS,DT4FI, &
!$OMP& ITER,CFLCAS,REST,CASS,CAS,ACQ,LITERSPLIT)
!$OMP DO SCHEDULE (DYNAMIC)
DO IP = 1, MNP
! IF (LQSTEA .AND. IP_IS_STEADY(IP) .EQ. 1) CYCLE
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPSIGMA(IP,CAS)
DO ID = 1, NUMDIR
ACQ(1:NUMSIG) = AC2(:,ID,IP)
CFLCAS = MAXVAL(ABS(CAS(:,ID))*DT4F/DS_BAND(1:NUMSIG))
IF (ISEQ0(CFLCAS)) CYCLE
REST = ABS(MOD(CFLCAS,ONE))
IF (REST .GT. THR .AND. REST .LT. 0.5) THEN
ITER = ABS(NINT(CFLCAS)) + 1
ELSE
ITER = ABS(NINT(CFLCAS))
END IF
DT4FI = DT4F / MyREAL(ITER)
CASS(1:NUMSIG) = CAS(:,ID)
CASS(0) = 0.!MIN(0._rkind,CASS(1))
CASS(NUMSIG+1) = CASS(NUMSIG) ! spectral tail to define gradient for the outgoing flux
DO IT = 1, ITER ! Iteration
ACQ(0) = ACQ(1)
! Flux at the lower boundary ... no incoming flux.
! zero gradient outgoing flux....
ACQ(NUMSIG+1) = ACQ(NUMSIG) * TAIL_ARR(5)
CALL QUICKEST_FREQ(NUMSIG,ACQ,CASS,DT4FI,DS_BAND,DS_INCR)
END DO ! end Interation
! IF (LITERSPLIT) THEN
! IF (IITERSPLIT == 0) THEN
! DAC_SIG(IP,:,ID) = (MAX(0.,REAL(rkind)(ACQ(1:NUMSIG))) - AC2(:,ID,IP))
! AC2(:,ID,IP) = MAX(0.,REAL(rkind)(ACQ(1:NUMSIG)))
! ELSE
! DAC_SIG(IP,:,ID) = (MAX(0.,REAL(rkind)(ACQ(1:NUMSIG))) - AC2(:,ID,IP))
! AC2(:,ID,IP) = MAX(0.,REAL(rkind)(ACQ(1:NUMSIG))) - DAC_ADV(IP,:,ID) - DAC_THE(IP,:,ID) - DAC_SOU(IP,:,ID)
! END IF
! ELSE
AC2(:,ID,IP) = MAX(ZERO,ACQ(1:NUMSIG))
! END IF
END DO
END DO
!$OMP END DO NOWAIT
!$OMP END PARALLEL
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_FREQUENCY_UPWIND_EXPLICIT
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID, IT, ITER, IS1, IS2
LOGICAL :: ISEQ0
REAL(rkind) :: CAS(NUMSIG,NUMDIR)
REAL(rkind) :: ACQ (0:NUMSIG+1)
REAL(rkind) :: TMP (1:NUMSIG)
REAL(rkind) :: CASS(0:NUMSIG+1), CP(0:NUMSIG+1), CM(0:NUMSIG+1)
REAL(rkind) :: REST, DT4FI, CFLCAS, LP, LM
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPSIGMA(IP,CAS)
DO ID = 1, NUMDIR
ACQ(1:NUMSIG) = AC2(:,ID,IP)
CFLCAS = MAXVAL(ABS(CAS(:,ID))*DT4F/DS_BAND(1:NUMSIG))
IF (ISEQ0(CFLCAS)) CYCLE
REST = ABS(MOD(CFLCAS,ONE))
IF (REST .GT. THR .AND. REST .LT. 0.5) THEN
ITER = ABS(NINT(CFLCAS)) + 1
ELSE
ITER = ABS(NINT(CFLCAS))
END IF
DT4FI = DT4F / MyREAL(ITER)
CASS(1:NUMSIG) = CAS(:,ID)
CASS(0) = 0.
CASS(NUMSIG+1) = CASS(NUMSIG)
CP = MAX(ZERO,CASS)
CM = MIN(ZERO,CASS)
DO IT = 1, ITER
ACQ(0) = ACQ(1)
ACQ(NUMSIG+1) = ACQ(NUMSIG) * TAIL_ARR(5)
DO IS = 1, NUMSIG
IS1 = IS - 1
IS2 = IS + 1
LP = - 1./DS_INCR(IS-1) * ( CP(IS1)*ACQ(IS1) - CP(IS)*ACQ(IS) )
LM = - 1./DS_INCR(IS) * ( CM(IS2)*ACQ(IS2) - CM(IS)*ACQ(IS) )
TMP(IS) = ACQ(IS) - DT4FI * ( -LM + LP )
END DO
ACQ(1:NUMSIG)=TMP
END DO
AC2(:,ID,IP) = MAX(ZERO,ACQ(1:NUMSIG))
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_FREQUENCY_UPWIND_IMPLICIT
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID
REAL(rkind) :: CAS(NUMSIG,NUMDIR)
REAL(rkind) :: ACQ (NUMSIG)
REAL(rkind) :: TMP (NUMSIG)
REAL(rkind) :: CASS(0:NUMSIG+1), CP(0:NUMSIG+1), CM(0:NUMSIG+1)
REAL(rkind) :: A(NUMSIG), B(NUMSIG), C(NUMSIG)
DO IP = 1, MNP
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) CYCLE
IF (DEP(IP) .LT. DMIN) CYCLE
IF (IOBP(IP) .EQ. 2) CYCLE
CALL PROPSIGMA(IP,CAS)
DO ID = 1, NUMDIR
ACQ = AC2(:,ID,IP)
CASS(1:NUMSIG) = CAS(:,ID)
CASS(0) = 0.
CASS(NUMSIG+1) = CASS(NUMSIG)
CP = MAX(ZERO,CASS)
CM = MIN(ZERO,CASS)
! Now forming the tridiagonal system
DO IS=1,NUMSIG
B(IS)= ONE + DT4F*(CP(IS)/DS_INCR(IS-1) - CM(IS) /DS_INCR(IS))
END DO
!
DO IS=2,NUMSIG
A(IS) = - DT4F*CP(IS-1)/DS_INCR(IS-1)
END DO
!
DO IS=1,NUMSIG-1
C(IS) = DT4F*CM(IS+1)/DS_INCR(IS)
END DO
B(NUMSIG) = B(NUMSIG) + DT4F*CM(NUMSIG+1)/DS_INCR(NUMSIG) * TAIL_ARR(5)
!
CALL SOLVE_TRIDIAG(A,B,C,ACQ,TMP,NUMSIG)
AC2(:,ID,IP) = MAX(ZERO,TMP)
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE PROPSIGMA(IP,CAS)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IP
REAL(rkind), INTENT(OUT) :: CAS(NUMSIG,NUMDIR)
INTEGER :: IS, ID
REAL(rkind) :: CFL, DWDH, WKDEP
CAS = 0.
SELECT CASE (DIMMODE)
CASE (1)
IF (DEP(IP) .GT. DMIN) THEN ! obsolete call ... numtheta ..
DO IS = 1, NUMSIG
WKDEP = WK(IS,IP) * DEP(IP)
IF (WKDEP .LT. 13.) THEN
DWDH = SPSIG(IS)/SINH(MIN(KDMAX,2.*WKDEP))
ELSE
DWDH = 0.
END IF
DO ID = 1, NUMDIR
CAS(IS,ID) = DWDH *( DEPDT(IP)+CURTXY(IP,1)*DDEP(IP,1) ) - CG(IS,IP)*WK(IS,IP)*(COS2TH(ID)*DCUX(IP,1)+ SINCOSTH(ID)*DCUY(IP,1))
END DO
END DO
END IF
CASE (2)
IF (DEP(IP) .GT. DMIN) THEN
DO IS = 1, NUMSIG
WKDEP = WK(IS,IP) * DEP(IP)
IF (WKDEP .LT. 13.) THEN
DWDH = SPSIG(IS)/SINH(MIN(KDMAX,TWO*WKDEP))
ELSE
DWDH = 0.
END IF
DO ID = 1, NUMDIR
IF (.NOT. LDIFR) THEN
CAS(IS,ID) = DWDH * WK(IS,IP) * ( DEPDT(IP) + CURTXY(IP,1)*DDEP(IP,1) + CURTXY(IP,2)*DDEP(IP,2) ) - CG(IS,IP) * WK(IS,IP) * ( COS2TH(ID)*DCUX(IP,1) + SIN2TH(ID)*DCUY(IP,2) + SINCOSTH(ID)*( DCUY(IP,1) + DCUX(IP,2) ) )
ELSE
CAS(IS,ID) = DWDH * WK(IS,IP) * ( DEPDT(IP) + CURTXY(IP,1) * DDEP(IP,1) + CURTXY(IP,2) * DDEP(IP,2) ) - CG(IS,IP) * WK(IS,IP) * DIFRM(IP) * ( COS2TH(ID)*DCUX(IP,1) + SIN2TH(ID)*DCUY(IP,2) + SINCOSTH(ID)*( DCUY(IP,1) + DCUX(IP,2) ) )
END IF
END DO
END DO
END IF
CASE DEFAULT
call wwm_abort('CHECK PROPSIGMA CASE')
END SELECT
IF (LFILTERSIG) THEN
DO ID = 1, NUMDIR
CFL = MAXVAL(ABS(CAS(:,ID)))*DT4F/MINVAL(DS_INCR)
IF (CFL .GT. MAXCFLSIG) THEN
DO IS = 1, NUMSIG
CAS(IS,ID) = MAXCFLSIG/CFL*CAS(IS,ID)
END DO
END IF
END DO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_FREQUENCY
USE DATAPOOL
IMPLICIT NONE
WRITE(STAT%FHNDL,'("+TRACE...",A)') 'ENTERING COMPUTE_FREQUENCY'
FLUSH(STAT%FHNDL)
IF (FMETHOD == 1) CALL COMPUTE_FREQUENCY_QUICKEST_A
IF (FMETHOD == 2) CALL COMPUTE_FREQUENCY_UPWIND_EXPLICIT
IF (FMETHOD == 3) CALL COMPUTE_FREQUENCY_UPWIND_IMPLICIT
WRITE(STAT%FHNDL,'("+TRACE...",A)') 'FINISHED COMPUTE_FREQUENCY'
FLUSH(STAT%FHNDL)
END SUBROUTINE COMPUTE_FREQUENCY
!**********************************************************************
!* *
!**********************************************************************