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wwm_snl4.F90
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#include "wwm_functions.h"
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE DIASNL4PARAM
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IS, ISLOW
REAL(rkind) :: AUX1, FREQ
REAL(rkind) :: LAMM2, LAMP2
REAL(rkind) :: DELTH3, DELTH4
REAL(rkind) :: CIDP, WIDP, WIDP1, CIDM, WIDM, WIDM1
REAL(rkind) :: WISP, WISP1, WISM, WISM1, NLPROP
SNL4C1 = ONE / (G9**4)
LAMBDANL4 = 0.25_rkind
IF (ISOURCE .EQ. 1) THEN
NLPROP = 2.78E7_rkind
ELSE
NLPROP = 2.5E7_rkind
ENDIF
SNL4C1 = NLPROP / (G9**4)
SNL4CS1 = 5.5_rkind
SNL4CS2 = 6._rkind/7._rkind
SNL4CS3 = -1.25_rkind
!
! *** set values for the nonlinear four-wave interactions ***
!
LAMM2 = (ONE-LAMBDANL4)**TWO
LAMP2 = (ONE+LAMBDANL4)**TWO
DELTH3 = ACOS((LAMM2**TWO+4-LAMP2**2)/(4*LAMM2))
AUX1 = SIN(DELTH3)
DELTH4 = ASIN(-AUX1*LAMM2/LAMP2)
!
! *** Compute directional indices in sigma and theta space ***
!
CIDP = ABS(DELTH4/DDIR)
IDP = INT(CIDP)
IDP1 = IDP + 1
WIDP = CIDP - MyREAL(IDP)
WIDP1 = ONE - WIDP
CIDM = ABS(DELTH3/DDIR)
IDM = INT(CIDM)
IDM1 = IDM + 1
WIDM = CIDM - MyREAL(IDM)
WIDM1 = ONE - WIDM
ISP = INT(LOG(ONE+LAMBDANL4)/XISLN)
ISP1 = ISP + 1
WISP = (ONE+LAMBDANL4-XIS**ISP)/(XIS**ISP1-XIS**ISP)
WISP1 = ONE - WISP
ISM = INT(LOG(ONE-LAMBDANL4)/XISLN)
ISM1 = ISM - 1
WISM = (XIS**ISM-(ONE-LAMBDANL4))/(XIS**ISM-XIS**ISM1)
WISM1 = ONE - WISM
!
! *** Range of calculations ***
!
ISLOW = 1 + ISM1
ISHGH = NUMSIG + ISP1 - ISM1
ISCLW = 1
ISCHG = NUMSIG - ISM1
IDLOW = 1 - MAX(IDM1,IDP1)
IDHGH = NUMDIR + MAX(IDM1,IDP1)
NUMSIG4MI = ISLOW
NUMSIG4MA = ISHGH
NUMDIR4MI = IDLOW
NUMDIR4MA = IDHGH
NUMSIGMAX = NUMSIG4MA - NUMSIG4MI + 1
NUMDIRMAX = NUMDIR4MA - NUMDIR4MI + 1
!
! *** Interpolation weights ***
!
AWG1 = WIDP *WISP
AWG2 = WIDP1*WISP
AWG3 = WIDP *WISP1
AWG4 = WIDP1*WISP1
AWG5 = WIDM *WISM
AWG6 = WIDM1*WISM
AWG7 = WIDM *WISM1
AWG8 = WIDM1*WISM1
!
! *** quadratic interpolation
!
SWG1 = AWG1**2
SWG2 = AWG2**2
SWG3 = AWG3**2
SWG4 = AWG4**2
SWG5 = AWG5**2
SWG6 = AWG6**2
SWG7 = AWG7**2
SWG8 = AWG8**2
!
! *** Fill scaling array (f**11) ***
! *** compute the radian frequency**11 for IS=ISHGH, ISLOW ***
!
IF (LTEST) THEN
WRITE(STAT % FHNDL,*) 'PARAMETERS FOR SNL'
WRITE(STAT % FHNDL,*) IDP, IDP1, IDM, IDM1
WRITE(STAT % FHNDL,*) ISP, ISP1, ISM, ISM1
WRITE(STAT % FHNDL,*) ISLOW, ISHGH, ISCLW, ISCHG, IDLOW, IDHGH
WRITE(STAT % FHNDL,*) XIS
WRITE(STAT % FHNDL,*) AWG1, AWG2, AWG3, AWG4
WRITE(STAT % FHNDL,*) AWG5, AWG6, AWG7, AWG8
WRITE(STAT % FHNDL,*) '---------------------------------------'
END IF
!
IF (ALLOCATED (AF11)) DEALLOCATE (AF11)
ALLOCATE( AF11(NUMSIG4MI:NUMSIG4MA), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_snl42, allocate error 1')
DO IS = 1, NUMSIG
AF11(IS) = (SPSIG(IS)/PI2)**11
END DO
FREQ = FR(NUMSIG)
DO IS = NUMSIG+1, ISHGH
FREQ = FREQ*XIS
AF11(IS) = FREQ**11
END DO
FREQ = FR(1)
DO IS = 0, ISLOW, -1
FREQ = FREQ/XIS
AF11(IS) = FREQ**11
END DO
DAL1 = ONE / (ONE + LAMBDANL4)**4
DAL2 = ONE / (ONE - LAMBDANL4)**4
DAL3 = TWO * DAL1 * DAL2
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE DIASNL4WW3(IP,KMESPC, WALOC, SFNL, DSNL)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IP
REAL(rkind), INTENT(IN) :: KMESPC
REAL(rkind), INTENT(IN) :: WALOC(NUMSIG,NUMDIR)
REAL(rkind), INTENT(OUT) :: SFNL(NUMSIG,NUMDIR), DSNL(NUMSIG,NUMDIR)
!
INTEGER :: I, J, IS, ID, ID0, IDDUM
REAL(rkind) :: X, X2, E00, EP1, EM1, EP2, EM2
REAL(rkind) :: CONS, FACTOR
REAL(rkind) :: JACOBI, SIGPI, FACHFR, PWTAIL
REAL(rkind) :: SA1A, SA1B, SA2A, SA2B
REAL(rkind) :: UE(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: SA1(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: SA2(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA1C(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA1P(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA1M(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA2C(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA2P(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
REAL(rkind) :: DA2M(NUMSIG4MI:NUMSIG4MA, NUMDIR4MI:NUMDIR4MA)
UE = 0.
SA1 = 0.
SA2 = 0.
SFNL = 0.
DA1C = 0.
DA1P = 0.
DA1M = 0.
DA2C = 0.
DA2P = 0.
DA2M = 0.
DSNL = 0.
PWTAIL = TAIL_ARR(1)
JACOBI = PI2
!
! 1. Calculate prop. constant --------------------------------------- *
!
X = MAX(DEP(IP)*KMESPC,1.3_rkind)
X2 = MAX ( -1.E15_rkind, SNL4CS3*X)
CONS = SNL4C1 * ( 1. + SNL4CS1/X * (1.-SNL4CS2*X) * EXP(X2))
!
! High frequency factor:
!
FACHFR = ONE / (XIS**PWTAIL)
!
! *** Prepare auxiliary spectrum ***
! *** set action original spectrum in array UE ***
!
DO IDDUM = IDLOW, IDHGH
ID = MOD( IDDUM - 1 + NUMDIR, NUMDIR ) + 1
DO IS = 1, NUMSIG
UE(IS,IDDUM) = WALOC(IS,ID) * SPSIG(IS) * JACOBI
END DO
END DO
DO IS = NUMSIG+1, ISHGH
DO ID = IDLOW, IDHGH
UE(IS,ID) = UE(IS-1,ID)*FACHFR
END DO
END DO
!
! *** Calculate interactions ***
! *** Energy at interacting bins ***
!
DO IS = ISCLW, ISCHG
DO ID = 1, NUMDIR
E00 = UE(IS ,ID )
EP1 = AWG1 * UE(IS+ISP1,ID+IDP1) + &
& AWG2 * UE(IS+ISP1,ID+IDP ) + &
& AWG3 * UE(IS+ISP ,ID+IDP1) + &
& AWG4 * UE(IS+ISP ,ID+IDP )
EM1 = AWG5 * UE(IS+ISM1,ID-IDM1) + &
& AWG6 * UE(IS+ISM1,ID-IDM ) + &
& AWG7 * UE(IS+ISM ,ID-IDM1) + &
& AWG8 * UE(IS+ISM ,ID-IDM )
EP2 = AWG1 * UE(IS+ISP1,ID-IDP1) + &
& AWG2 * UE(IS+ISP1,ID-IDP ) + &
& AWG3 * UE(IS+ISP ,ID-IDP1) + &
& AWG4 * UE(IS+ISP ,ID-IDP )
EM2 = AWG5 * UE(IS+ISM1,ID+IDM1) + &
& AWG6 * UE(IS+ISM1,ID+IDM ) + &
& AWG7 * UE(IS+ISM ,ID+IDM1) + &
& AWG8 * UE(IS+ISM ,ID+IDM )
!
SA1A = E00 * ( EP1*DAL1 + EM1*DAL2 )
SA1B = SA1A - EP1*EM1*DAL3
SA2A = E00 * ( EP2*DAL1 + EM2*DAL2 )
SA2B = SA2A - EP2*EM2*DAL3
FACTOR = CONS * AF11(IS) * E00
SA1(IS,ID) = FACTOR*SA1B
SA2(IS,ID) = FACTOR*SA2B
DA1C(IS,ID) = CONS * AF11(IS) * ( SA1A + SA1B )
DA1P(IS,ID) = FACTOR * ( DAL1*E00 - DAL3*EM1 )
DA1M(IS,ID) = FACTOR * ( DAL2*E00 - DAL3*EP1 )
DA2C(IS,ID) = CONS * AF11(IS) * ( SA2A + SA2B )
DA2P(IS,ID) = FACTOR * ( DAL1*E00 - DAL3*EM2 )
DA2M(IS,ID) = FACTOR * ( DAL2*E00 - DAL3*EP2 )
END DO
END DO
!
!AR: Replace this part by WW3
!
DO ID = 1, IDHGH - NUMDIR
ID0 = 1 - ID
DO IS = ISCLW, ISCHG
SA1 (IS,NUMDIR+ID) = SA1 (IS,ID )
SA2 (IS,NUMDIR+ID) = SA2 (IS,ID )
DA1C(IS,NUMDIR+ID) = DA1C(IS,ID )
DA1P(IS,NUMDIR+ID) = DA1P(IS,ID )
DA1M(IS,NUMDIR+ID) = DA1M(IS,ID )
DA2C(IS,NUMDIR+ID) = DA2C(IS,ID )
DA2P(IS,NUMDIR+ID) = DA2P(IS,ID )
DA2M(IS,NUMDIR+ID) = DA2M(IS,ID )
SA1 (IS,ID0 ) = SA1 (IS,NUMDIR+ID0)
SA2 (IS,ID0 ) = SA2 (IS,NUMDIR+ID0)
DA1C(IS,ID0 ) = DA1C(IS,NUMDIR+ID0)
DA1P(IS,ID0 ) = DA1P(IS,NUMDIR+ID0)
DA1M(IS,ID0 ) = DA1M(IS,NUMDIR+ID0)
DA2C(IS,ID0 ) = DA2C(IS,NUMDIR+ID0)
DA2P(IS,ID0 ) = DA2P(IS,NUMDIR+ID0)
DA2M(IS,ID0 ) = DA2M(IS,NUMDIR+ID0)
END DO
END DO
DO I = 1, NUMSIG
SIGPI = SPSIG(I) * JACOBI
DO J = 1, NUMDIR
SFNL(I,J) = -TWO * ( SA1(I,J) + SA2(I,J) ) &
& + AWG1 * ( SA1(I-ISP1,J-IDP1) + SA2(I-ISP1,J+IDP1) ) &
& + AWG2 * ( SA1(I-ISP1,J-IDP ) + SA2(I-ISP1,J+IDP ) ) &
& + AWG3 * ( SA1(I-ISP ,J-IDP1) + SA2(I-ISP ,J+IDP1) ) &
& + AWG4 * ( SA1(I-ISP ,J-IDP ) + SA2(I-ISP ,J+IDP ) ) &
& + AWG5 * ( SA1(I-ISM1,J+IDM1) + SA2(I-ISM1,J-IDM1) ) &
& + AWG6 * ( SA1(I-ISM1,J+IDM ) + SA2(I-ISM1,J-IDM ) ) &
& + AWG7 * ( SA1(I-ISM ,J+IDM1) + SA2(I-ISM ,J-IDM1) ) &
& + AWG8 * ( SA1(I-ISM ,J+IDM ) + SA2(I-ISM ,J-IDM ) )
DSNL(I,J) = -TWO * ( DA1C(I,J) + DA2C(I,J) ) &
& + SWG1 * ( DA1P(I-ISP1,J-IDP1) + DA2P(I-ISP1,J+IDP1) ) &
& + SWG2 * ( DA1P(I-ISP1,J-IDP ) + DA2P(I-ISP1,J+IDP ) ) &
& + SWG3 * ( DA1P(I-ISP ,J-IDP1) + DA2P(I-ISP ,J+IDP1) ) &
& + SWG4 * ( DA1P(I-ISP ,J-IDP ) + DA2P(I-ISP ,J+IDP ) ) &
& + SWG5 * ( DA1M(I-ISM1,J+IDM1) + DA2M(I-ISM1,J-IDM1) ) &
& + SWG6 * ( DA1M(I-ISM1,J+IDM ) + DA2M(I-ISM1,J-IDM ) ) &
& + SWG7 * ( DA1M(I-ISM ,J+IDM1) + DA2M(I-ISM ,J-IDM1) ) &
& + SWG8 * ( DA1M(I-ISM ,J+IDM ) + DA2M(I-ISM ,J-IDM ) )
SFNL(I,J) = SFNL(I,J) / SIGPI
DSNL(I,J) = DSNL(I,J) / PI3
END DO
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************