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wwm_diffrac.F90
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#include "wwm_functions.h"
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE DIFFRA_SIMPLE()
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS
REAL(rkind) :: ETOT, EWKTOT, ECGTOT, EAD
REAL(rkind) :: TMP, AUX, TRANS_X(MNP), TRANS_Y(MNP)
REAL(rkind) :: EWK(MNP), ECG(MNP), ENG(MNP)
REAL(rkind) :: CGK(MNP)
REAL(rkind) :: DXENG(MNP), DYENG(MNP), DXXEN(MNP), DYYEN(MNP), DXYEN(MNP)
REAL(rkind) :: DXCGK(MNP), DYCGK(MNP)
EWK = 0.
ECG = 0.
ENG = 0.
CGK = 0.
DO IP = 1, MNP
IF (DEP(IP) .GT. DMIN) THEN
ETOT = ZERO
EWKTOT = ZERO
ECGTOT = ZERO
DO IS = 1, NUMSIG
EAD = SUM(AC2(IS,:,IP))*DDIR*SIGPOW(IS,2)
ETOT = ETOT + EAD
EWKTOT = EWKTOT + WK(IS,IP) * EAD
ECGTOT = ECGTOT + CG(IS,IP) * EAD
END DO
ETOT = FRINTF * ETOT
EWKTOT = FRINTF * EWKTOT
ECGTOT = FRINTF * ECGTOT
IF (ETOT .GT. VERYSMALL) THEN
EWK(IP) = EWKTOT / ETOT
ECG(IP) = ECGTOT / ETOT
ENG(IP) = SQRT(ETOT)
ELSE
EWK(IP) = 0.
ECG(IP) = 0.
ENG(IP) = 0.
END IF
IF (EWK(IP) .GT. VERYSMALL) THEN
CGK(IP) = ECG(IP) / EWK(IP)
ELSE
CGK(IP) = 0.
END IF
ELSE
EWK(IP) = 0.
ECG(IP) = 0.
ENG(IP) = 0.
CGK(IP) = 0.
END IF
END DO
CALL DIFFERENTIATE_XYDIR(ENG , DXENG, DYENG)
CALL DIFFERENTIATE_XYDIR(DXENG, DXXEN, DXYEN)
CALL DIFFERENTIATE_XYDIR(DYENG, DXYEN, DYYEN)
CALL DIFFERENTIATE_XYDIR(CGK , DXCGK, DYCGK)
IF (LSPHE) THEN
TRANS_X = ONE/(DEGRAD*REARTH*COS(YP*DEGRAD))
TRANS_Y = ONE/(DEGRAD*REARTH)
DXENG = DXENG * TRANS_X
DYENG = DYENG * TRANS_Y
DXXEN = DXXEN * TRANS_X**2
DYYEN = DYYEN * TRANS_Y**2
DXCGK = DXCGK * TRANS_X
DYCGK = DYCGK * TRANS_Y
END IF
DO IP = 1, MNP
IF (DEP(IP) .GT. DMIN .AND. ENG(IP) .GT. VERYSMALL) THEN
TMP = ECG(IP)*EWK(IP)*ENG(IP)
IF (TMP > VERYSMALL) THEN
AUX = DXCGK(IP)*DXENG(IP)+DYCGK(IP)*DYENG(IP)+CGK(IP)*(DXXEN(IP)+DYYEN(IP))
TMP = AUX/TMP
ELSE
TMP = ZERO
END IF
IF (TMP < -1.0_rkind) THEN
DIFRM(IP) = ONE
ELSE
DIFRM(IP) = SQRT(ONE+TMP)
END IF
ELSE
DIFRM(IP) = ONE
END IF
IF (DIFRM(IP) .GT. 1.2) DIFRM(IP) = 1.2
IF (DIFRM(IP) .LT. 0.8) DIFRM(IP) = 0.8
END DO
CALL DIFFERENTIATE_XYDIR(DIFRM, DIFRX, DIFRY)
IF (LSPHE) THEN
DIFRX = DIFRX * TRANS_X
DIFRY = DIFRY * TRANS_Y
END IF
IF (.TRUE.) THEN
OPEN(555, FILE = 'ergdiffr.bin' , FORM = 'UNFORMATTED')
WRITE(555) SNGL(RTIME)
WRITE(555) (SNGL(DIFRX(IP)), SNGL(DIFRY(IP)),SNGL(DIFRM(IP))-1., IP = 1, MNP)
END IF
!DIFRM = 1.
!WRITE(WWMDBG%FHNDL,*) MAXVAL(DIFRM), MAXVAL(DIFRX), MAXVAL(DIFRY)
!WRITE(WWMDBG%FHNDL,*) MINVAL(DIFRM), MINVAL(DIFRX), MINVAL(DIFRY)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE BOTEFCT( EWK, DFBOT )
USE DATAPOOL
IMPLICIT NONE
REAL(rkind), INTENT(IN) :: EWK(MNP)
REAL(rkind), INTENT(INOUT) :: DFBOT(MNP)
REAL(rkind) :: SLPH(MNP), CURH(MNP)
REAL(rkind) :: DXDEP(MNP) , DYDEP(MNP)
REAL(rkind) :: DXXDEP(MNP), DXYDEP(MNP), DYYDEP(MNP)
REAL(rkind) :: KH, BOTFC, BOTFS
INTEGER :: IP
LOGICAL :: MY_ISNAN, MY_ISINF
! CALL SMOOTH( -1.1, MNP, XP, YP, DEP )
CALL DIFFERENTIATE_XYDIR(DEP, DXDEP , DYDEP)
CALL DIFFERENTIATE_XYDIR(DXDEP , DXXDEP, DXYDEP)
CALL DIFFERENTIATE_XYDIR(DYDEP , DXYDEP, DYYDEP)
SLPH = DXDEP**2 + DYDEP**2
CURH = DXXDEP + DYYDEP
DFBOT = 0.
DO IP = 1, MNP
IF (EWK(IP) < VERYSMALL) CYCLE
KH = EWK(IP)*DEP(IP)
IF (KH > PI) CYCLE
DFBOT(IP) = (BOTFC(KH)*CURH(IP)+BOTFS(KH)*EWK(IP)*SLPH(IP))*G9
IF (MY_ISINF(DFBOT(IP)) .OR. MY_ISNAN(DFBOT(IP))) THEN
WRITE(wwmerr,*)'DFBOT is NaN', IP,KH, CURH(IP), BOTFS(KH), BOTFC(KH), EWK(IP), SLPH(IP)
call wwm_abort(wwmerr)
END IF
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
FUNCTION BOTFC(KH)
USE DATAPOOL
IMPLICIT NONE
REAL(rkind) :: BOTFC
REAL(rkind), INTENT(IN) :: KH
REAL(rkind) :: DKH, AUX, AUX1
REAL(rkind) :: COSHKH, COSH2KH, SINHKH, SINH2KH, SINH3KH
DKH = KH
SINHKH = MySINH(MIN(KDMAX,DKH))
SINH2KH = MySINH(MIN(KDMAX,2.0_rkind*DKH))
SINH3KH = MySINH(MIN(KDMAX,3.0_rkind*DKH))
COSHKH = MyCOSH(MIN(KDMAX,DKH))
COSH2KH = MyCOSH(MIN(KDMAX,2.0_rkind*DKH))
AUX = -4.*KH*COSHKH+SINH3KH+SINHKH+8.*(KH**2)*SINHKH
AUX1 = 8.*COSHKH**3*(2.*KH+SINH2KH)
BOTFC = AUX/MAX(VERYSMALL,AUX1) - KH*MyTANH(KH)/MAX(VERYSMALL,(2.*(COSHKH)**2))
IF (BOTFC .NE. BOTFC) THEN
WRITE(wwmerr,*)'BOTFC is NaN Aron', KH, AUX, AUX1, MyTANH(KH)
call wwm_abort(wwmerr)
END IF
END FUNCTION
!**********************************************************************
!* *
!**********************************************************************
FUNCTION BOTFS(KH)
USE DATAPOOL, ONLY : THR, VERYSMALL, RKIND, KDMAX, wwmerr
USE DATAPOOL, ONLY : ONE, TWO
IMPLICIT NONE
REAL(rkind) :: BOTFS
REAL(rkind), INTENT(IN) :: KH
REAL(rkind) :: SECH, SINH2KH, SINHKH, COSH2KH
REAL(rkind) :: AUX, AUX1
REAL(rkind) :: DKH
DKH = KH
IF (MyABS(MyCOSH(DKH)) > VERYSMALL) THEN
SECH = 1. / MyCOSH(DKH)
ELSE
SECH = 0.
END IF
SINHKH = MySINH(MIN(KDMAX,DKH))
SINH2KH = MySINH(MIN(KDMAX,2.0_rkind*DKH))
COSH2KH = MyCOSH(MIN(KDMAX,2.0_rkind*DKH))
AUX = SECH**2/MAX(VERYSMALL,(6.0_rkind*(TWO*DKH+SINH2KH)**3))
AUX1 = 8.0_rkind*(DKH**4)+16.0_rkind*(DKH**3)*SINH2KH- &
& 9.0_rkind*(SINH2KH**2*COSH2KH+12.0_rkind*DKH* &
& (ONE+TWO*(SINHKH)**4)*(DKH+SINH2KH))
BOTFS = AUX * AUX1
IF (BOTFS .NE. BOTFS) THEN
WRITE(wwmerr,*)'BOTFS is NaN', BOTFS, AUX, AUX1
call wwm_abort(wwmerr)
ENDIF
END FUNCTION
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE CUREFCT( MNP, DXENG, DYENG, CURT, DFCUR )
USE DATAPOOL, ONLY : RKIND, wwmerr
IMPLICIT NONE
INTEGER, INTENT(IN) :: MNP
REAL(rkind), INTENT(IN) :: DXENG(MNP), DYENG(MNP), CURT(MNP,2)
REAL(rkind), INTENT(INOUT) :: DFCUR(MNP)
REAL(rkind) :: AUX(MNP), AUXX(MNP), AUXY(MNP)
REAL(rkind) :: DXAUXX(MNP), DYAUXY(MNP)
AUX(:) = CURT(:,1) * DXENG(:) + CURT(:,2) * DYENG(:)
AUXX(:) = AUX(:) * CURT(:,1)
AUXY(:) = AUX(:) * CURT(:,2)
CALL DIFFERENTIATE_XYDIR(AUXX, DXAUXX, AUX)
CALL DIFFERENTIATE_XYDIR(AUXY, DYAUXY, AUX)
DFCUR(:) = DXAUXX(:) + DYAUXY(:)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
FUNCTION BOTFC2(KH)
USE DATAPOOL, ONLY : VERYSMALL, VERYLARGE, RKIND, ONE, TWO, KDMAX
IMPLICIT NONE
REAL(rkind) :: BOTFC2
REAL(rkind), INTENT(IN) :: KH
REAL(rkind) :: AUX, AUX1
REAL(rkind) :: SINHKH, COSHKH, SINH2KH, SINH3KH
IF (KH .GT. VERYLARGE) THEN
BOTFC2 = 0.
RETURN
END IF
COSHKH = MyCOSH(MIN(KDMAX,KH))
SINHKH = MySINH(MIN(KDMAX,KH))
SINH2KH = MySINH(MIN(KDMAX,2.*KH))
SINH3KH = MySINH(MIN(KDMAX,3.*KH))
AUX = -4.0_rkind*KH*COSHKH + SINH3KH + SINHKH + 8.0_rkind*(KH**2)*SINHKH
AUX1 = 8.0_rkind*COSHKH**3.0_rkind*(TWO*KH + SINH2KH)
BOTFC2 = AUX / MAX(VERYSMALL,AUX1) - KH*MyTANH(KH) / (TWO*(COSHKH)**2)
IF (BOTFC2 .NE. BOTFC2) THEN
WRITE(*,*) 'BOTFC2'
WRITE(*,*) SINHKH, COSHKH, SINH2KH, SINH3KH, KH
WRITE(*,*) AUX, AUX1, KH*MyTANH(KH), (TWO*(COSHKH)**2)
CALL WWM_ABORT('BOTFC2')
ENDIF
END FUNCTION
!**********************************************************************
!* *
!**********************************************************************
FUNCTION BOTFS2(KH)
USE DATAPOOL, ONLY : VERySMALL, VERYLARGE, RKIND, ONE, TWO, KDMAX
IMPLICIT NONE
REAL(rkind) :: BOTFS2
REAL(rkind), INTENT(IN) :: KH
REAL(rkind) :: SECH
REAL(rkind) :: AUX, AUX1, SINHKH, COSHKH
REAL(rkind) :: SINH2KH, SINH3KH, COSH2KH
IF (KH .GT. VERyLARGE) THEN
BOTFS2 = 0.
RETURN
END IF
COSHKH = MyCOSH(MIN(KDMAX,KH))
COSH2KH = MyCOSH(MIN(KDMAX,2*KH))
SINHKH = MySINH(MIN(KDMAX,KH))
SINH2KH = MySINH(MIN(KDMAX,2.*KH))
SINH3KH = MySINH(MIN(KDMAX,3.*KH))
SECH = ONE / MAX(VERYSMALL,COSHKH)
AUX = SECH**2 / MAX(VERYSMALL, (6.0_rkind*(TWO*KH + SINH2KH)**3.0_rkind))
IF (AUX .GT. VERYSMALL) THEN
AUX1 = 8.0_rkind*(KH**4.0_rkind) + 16.0_rkind*(KH**3.0_rkind)*SINH2KH &
& - 9.0_rkind*(SINH2KH)**2*COSH2KH &
& + 12.0_rkind*KH*(ONE + 2*SINHKH**4.0_rkind)*(KH + SINH2KH)
ELSE
AUX1 = 0.
END IF
BOTFS2 = AUX * AUX1
IF (BOTFS2 .NE. BOTFS2) THEN
WRITE(*,*) 'BOTFS2'
WRITE(*,*) COSHKH, COSH2KH, SINHKH, SINH2KH, SINH3KH
WRITE(*,*) AUX, AUX1, KH, SECH, SECH**2, COSHKH
CALL WWM_ABORT('BOTFS2')
END IF
END FUNCTION
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE CUREFCT2( MNP, DXENG, DYENG, CURT, DFCUR )
USE DATAPOOL, ONLY : RKIND
IMPLICIT NONE
INTEGER, INTENT(IN) :: MNP
REAL(rkind), INTENT(IN) :: DXENG(MNP), DYENG(MNP), CURT(MNP,2)
REAL(rkind), INTENT(INOUT) :: DFCUR(MNP)
REAL(rkind) :: AUX(MNP), AUXX(MNP), AUXY(MNP)
REAL(rkind) :: DXAUXX(MNP), DYAUXY(MNP)
AUX(:) = CURT(:,1) * DXENG(:) + CURT(:,2) * DYENG(:)
AUXX(:) = AUX(:) * CURT(:,1)
AUXY(:) = AUX(:) * CURT(:,2)
CALL DIFFERENTIATE_XYDIR(AUXX, DXAUXX, AUX)
CALL DIFFERENTIATE_XYDIR(AUXY, DYAUXY, AUX)
DFCUR(:) = DXAUXX(:) + DYAUXY(:)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE BOTEFCT2( MNP, EWK, DEP, DFBOT )
USE DATAPOOL, ONLY : VERYSMALL, VERYLARGE, RKIND
IMPLICIT NONE
REAL(rkind), PARAMETER :: GRAV = 9.81
INTEGER, INTENT(IN) :: MNP
REAL(rkind), INTENT(IN) :: EWK(MNP)
REAL(rkind), INTENT(IN) :: DEP(MNP)
REAL(rkind), INTENT(INOUT) :: DFBOT(MNP)
REAL(rkind) :: SLPH(MNP), CURH(MNP)
REAL(rkind) :: DXDEP(MNP), DYDEP(MNP)
REAL(rkind) :: DXXDEP(MNP), DXYDEP(MNP), DYYDEP(MNP)
REAL(rkind) :: KH
INTEGER :: IP
REAL(rkind) :: BOTFC2, BOTFS2
CALL DIFFERENTIATE_XYDIR(DEP(1) , DXDEP(1) , DYDEP(1))
CALL DIFFERENTIATE_XYDIR(DXDEP(1), DXXDEP(1), DXYDEP(1))
CALL DIFFERENTIATE_XYDIR(DYDEP(1), DXYDEP(1), DYYDEP(1))
SLPH(:) = DXDEP(:)**2 + DYDEP(:)**2
CURH(:) = DXXDEP(:) + DYYDEP(:)
DO IP = 1, MNP
KH = EWK(IP)*DEP(IP)
DFBOT(IP) = (BOTFC2(KH)*CURH(IP)+BOTFS2(KH)*EWK(IP)*SLPH(IP))*GRAV
IF (DFBOT(IP) .NE. DFBOT(IP)) THEN
WRITE(*,*) 'DFBOT'
WRITE(*,*) DFBOT(IP), BOTFC2(KH), BOTFS2(KH), CURH(IP), EWK(IP), SLPH(IP)
CALL WWM_ABORT('DFBOT')
ENDIF
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE DIFFRA_EXTENDED()
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, IS, ID
REAL(rkind) :: WVC, WVK, WVCG, WVKDEP, WVN
REAL(rkind) :: ETOT, EWKTOT, EWCTOT, ECGTOT, EAD
REAL(rkind) :: DFWAV
REAL(rkind) :: AUX
REAL(rkind) :: DELTA
REAL(rkind) :: EWK(MNP), EWC(MNP), ECG(MNP), ENG(MNP)
REAL(rkind) :: CCG(MNP)
REAL(rkind) :: DXENG(MNP), DYENG(MNP), DXXEN(MNP), DYYEN(MNP), DXYEN(MNP)
REAL(rkind) :: DXCCG(MNP), DYCCG(MNP)
REAL(rkind) :: DFCUR(MNP)
REAL(rkind) :: DFBOT(MNP)
REAL(rkind) :: DFCUT
REAL(rkind) :: ETOTC, ETOTS, DM
REAL(rkind) :: US
REAL(rkind) :: CAUX, CAUX2
REAL(rkind) :: NAUX
DFBOT(:) = ZERO
DFCUR(:) = ZERO
DO IP = 1, MNP
ETOT = ZERO
EWKTOT = ZERO
EWCTOT = ZERO
ECGTOT = ZERO
IF (DEP(IP) .GT. DMIN) THEN
DO IS = 1, NUMSIG
CALL ALL_FROM_TABLE(SPSIG(IS),DEP(IP),WVK,WVCG,WVKDEP,WVN,WVC)
EAD = SUM(AC2(IS,:,IP))*DDIR*SIGPOW(IS,2)
ETOT = ETOT + EAD
EWKTOT = EWKTOT + WVK *EAD
EWCTOT = EWCTOT + WVC *EAD
ECGTOT = ECGTOT + WVCG*EAD
END DO
ETOT = FRINTF * ETOT
EWKTOT = FRINTF * EWKTOT
EWCTOT = FRINTF * EWCTOT
ECGTOT = FRINTF * ECGTOT
IF (ETOT .LT. VERYSMALL) THEN
EWK(IP) = ZERO
EWC(IP) = ZERO
ECG(IP) = ZERO
ENG(IP) = ZERO
CCG(IP) = ZERO
ELSE
IF (NUMSIG > 3) THEN
ETOT = ETOT + TAIL_ARR(2)*EAD
EWKTOT = EWKTOT + TAIL_ARR(4)*EAD
EWCTOT = EWCTOT + TAIL_ARR(4)*EAD
ECGTOT = ECGTOT + TAIL_ARR(4)*EAD
END IF
EWK(IP) = EWKTOT / ETOT
EWC(IP) = EWCTOT / ETOT
ECG(IP) = ECGTOT / ETOT
ENG(IP) = SQRT(MAX(ETOT,1.0E-8_rkind))
CCG(IP) = EWC(IP) * ECG(IP)
END IF
ELSE
EWK(IP) = ZERO
EWC(IP) = ZERO
ECG(IP) = ZERO
ENG(IP) = ZERO
CCG(IP) = ZERO
END IF
END DO
CALL DIFFERENTIATE_XYDIR(ENG, DXENG, DYENG)
CALL DIFFERENTIATE_XYDIR(DXENG, DXXEN, DXYEN)
CALL DIFFERENTIATE_XYDIR(DYENG, DXYEN, DYYEN)
CALL DIFFERENTIATE_XYDIR(CCG, DXCCG, DYCCG)
CALL BOTEFCT2( MNP, EWK, DEP, DFBOT )
IF (LSTCU .OR. LSECU) CALL CUREFCT2( MNP, DXENG, DYENG, CURTXY, DFCUR )
DO IP = 1, MNP
AUX = CCG(IP)*EWK(IP)*EWK(IP)
IF ( AUX*ENG(IP) .GT. VERYSMALL) THEN
DFWAV = ( DXCCG(IP)*DXENG(IP)+DYCCG(IP)*DYENG(IP)+CCG(IP)*(DXXEN(IP)+DYYEN(IP)) ) / MAX(VERySMALL,ENG(IP))
NAUX = ECG(IP) / MAX(VERYSMALL,EWC(IP))
IF (LSTCU .OR. LSECU) THEN
ETOTC = ZERO
ETOTS = ZERO
DO ID = 1, NUMDIR
EAD = SUM(AC2(:,ID,IP)*SIGPOW(:,2))*FRINTF*DDIR
ETOTC = ETOTC + EAD*COS(SPDIR(ID))
ETOTS = ETOTS + EAD*SIN(SPDIR(ID))
END DO
DM = ATAN2(ETOTS,ETOTC)
US = CURTXY(IP,1)*COS(DM)+CURTXY(IP,2)*SIN(DM)
CAUX = US / EWC(IP)
DFCUT = (TWO/NAUX+NAUX*CAUX)*CAUX
ELSE
DFCUT = ZERO
CAUX = ZERO
END IF
CAUX2 = CAUX * CAUX
DELTA = CAUX2*(ONE+CAUX)**2-NAUX*(CAUX2-NAUX)*(ONE+(DFWAV+DFBOT(IP)+DFCUR(IP))/AUX+DFCUT)
IF (DELTA <= ZERO) THEN
DIFRM(IP) = ONE
ELSE
DIFRM(IP) = ONE/(CAUX2-NAUX)*(CAUX*(ONE+CAUX)-SQRT(DELTA))
END IF
ELSE
DIFRM(IP) = ONE
END IF
!IF (DIFRM(IP) .GT. 1.2) DIFRM(IP) = 1.2
!IF (DIFRM(IP) .LT. 0.8) DIFRM(IP) = 0.8
END DO
CALL DIFFERENTIATE_XYDIR(DIFRM, DIFRX, DIFRY)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_DIFFRACTION
USE DATAPOOL
IF (LDIFR) THEN
IF (IDIFFR == 1 ) THEN
CALL DIFFRA_SIMPLE
ELSE IF (IDIFFR == 2) THEN
CALL DIFFRA_EXTENDED
END IF
END IF
END SUBROUTINE COMPUTE_DIFFRACTION
!**********************************************************************
!* *
!**********************************************************************