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wwm_sinput_ard.F90
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wwm_sinput_ard.F90
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SUBROUTINE SINPUT_ARD (F,FL,IJS,IJL,THWNEW,USNEW,Z0NEW,&
& ROAIRN,WSTAR,SL,XLLWS,SSIN,DSSIN)
! ----------------------------------------------------------------------
!**** *SINPUT* - COMPUTATION OF INPUT SOURCE FUNCTION.
! P.A.E.M. JANSSEN KNMI AUGUST 1990
! OPTIMIZED BY : H. GUENTHER
! MODIFIED BY :
! J-R BIDLOT NOVEMBER 1995
! J-R BIDLOT FEBRUARY 1996-97
! J-R BIDLOT FEBRUARY 1999 : INTRODUCE ICALL AND NCALL
! P.A.E.M. JANSSEN MAY 2000 : INTRODUCE GUSTINESS
! J-R BIDLOT FEBRUARY 2001 : MAKE IT FULLY IMPLICIT BY ONLY
! USING NEW STRESS AND ROUGHNESS.
! S. ABDALLA OCTOBER 2001: INTRODUCTION OF VARIABLE AIR
! DENSITY AND STABILITY-DEPENDENT
! WIND GUSTINESS
! P.A.E.M. JANSSEN OCTOBER 2008: INTRODUCE DAMPING WHEN WAVES ARE
! RUNNING FASTER THAN THE WIND.
! J-R BIDLOT JANUARY 2013: SHALLOW WATER FORMULATION.
! L. AOUF March 2011 : USE OF NEW DISSIPATION DEVELOPED BY ARDHUIN ET AL.2010
!* PURPOSE.
! ---------
! COMPUTE INPUT SOURCE FUNCTION AND STORE ADDITIVELY INTO NET
! SOURCE FUNCTION ARRAY, ALSO COMPUTE FUNCTIONAL DERIVATIVE OF
! INPUT SOURCE FUNCTION.
!
! GUSTINESS IS INTRODUCED FOLL0WING THE APPROACH OF JANSSEN(1986),
! USING A GAUSS-HERMITE APPROXIMATION SUGGESTED BY MILES(1997).
! IN THE PRESENT VERSION ONLY TWO HERMITE POLYNOMIALS ARE UTILISED
! IN THE EVALUATION OF THE PROBABILITY INTEGRAL. EXPLICITELY ONE THEN
! FINDS:
!
! <GAMMA(X)> = 0.5*( GAMMA(X(1+SIG)) + GAMMA(X(1-SIG)) )
!
! WHERE X IS THE FRICTION VELOCITY AND SIG IS THE RELATIVE GUSTINESS
! LEVEL.
!** INTERFACE.
! ----------
! *CALL* *SINPUT (F, FL, IJS, IJL, THWNEW, USNEW, Z0NEW,
! & ROAIRN,WSTAR, SL, XLLWS)
! *F* - SPECTRUM.
! *FL* - DIAGONAL MATRIX OF FUNCTIONAL DERIVATIVE.
! *IJS* - INDEX OF FIRST GRIDPOINT.
! *IJL* - INDEX OF LAST GRIDPOINT.
! *THWNEW* - WIND DIRECTION IN RADIANS IN OCEANOGRAPHIC
! NOTATION (POINTING ANGLE OF WIND VECTOR,
! CLOCKWISE FROM NORTH).
! *USNEW* - NEW FRICTION VELOCITY IN M/S.
! *Z0NEW* - ROUGHNESS LENGTH IN M.
! *ROAIRN* - AIR DENSITY IN KG/M3
! *WSTAR* - FREE CONVECTION VELOCITY SCALE (M/S).
! *SL* - TOTAL SOURCE FUNCTION ARRAY.
! *XLLWS*- 1 WHERE SINPUT IS POSITIVE
! METHOD.
! -------
! SEE REFERENCE.
! EXTERNALS.
! ----------
! WSIGSTAR.
! MODIFICATIONS
! -------------
! - REMOVAL OF CALL TO CRAY SPECIFIC FUNCTIONS EXPHF AND ALOGHF
! BY THEIR STANDARD FORTRAN EQUIVALENT EXP and ALOGHF
! - MODIFIED TO MAKE INTEGRATION SCHEME FULLY IMPLICIT
! - INTRODUCTION OF VARIABLE AIR DENSITY
! - INTRODUCTION OF WIND GUSTINESS
! REFERENCE.
! ----------
! P. JANSSEN, J.P.O., 1989.
! P. JANSSEN, J.P.O., 1991
! ----------------------------------------------------------------------
! USE YOWCOUP , ONLY : BETAMAX ,ZALP ,TAUWSHELTER, XKAPPA
! USE YOWFRED , ONLY : FR ,TH ,DFIM ,COSTH ,SINTH
! USE YOWMPP , ONLY : NINF ,NSUP
! USE YOWPARAM , ONLY : NANG ,NFRE ,NBLO
! USE YOWPCONS , ONLY : G ,ZPI ,ROWATER ,YEPS
! USE YOWSHAL , ONLY : TFAK ,INDEP, DEPTH
! USE YOWSTAT , ONLY : ISHALLO
! USE YOWTABL , ONLY : IAB ,SWELLFT
! USE PARKIND1 ,ONLY : JPIM ,JPRB
! USE YOMHOOK ,ONLY : LHOOK, DR_HOOK
USE DATAPOOL, ONLY : FR, WETAIL, FRTAIL, WP1TAIL, ISHALLO, RKIND, &
& DFIM, DFIMOFR, DFFR, DFFR2, WK, ZALP, IAB, SWELLFT, &
& IUSTAR, IALPHA, USTARM, TAUT, ONETHIRD, RKIND, &
& DELUST, DELALP, BETAMAX, XKAPPA, IDAMPING, TAUWSHELTER, &
& SINTH, COSTH, &
& ROWATER => RHOW, &
& ROAIR => RHOA, &
& TH => SPDIR, &
& DELTH => DDIR, &
& G => G9, &
& ZPI => PI2, &
& EPSMIN => SMALL, &
& NANG => MDC, &
& NFRE => MSC, &
& INDEP => DEP
! ----------------------------------------------------------------------
IMPLICIT NONE
INTEGER :: IJ,IJS,IJL,K,M,IND
REAL, PARAMETER :: ABMIN = 0.3
REAL, PARAMETER :: ABMAX = 8.
REAL(rkind) :: CONST1
REAL(rkind) :: X1,X2,ZLOG,ZLOG1,ZLOG2,ZLOG2X,XV1,XV2,ZBETA1,ZBETA2
REAL(rkind) :: XI,X,DELI1,DELI2
REAL(rkind) :: FU,FUD,FW,NU_AIR,SWELLFPAR,SWELLF,SWELLF2,SWELLF3,SWELLF4,SWELLF5
REAL(rkind) :: SWELLF7, SMOOTH, YEPS
REAL(rkind) :: ARG, DELAB, CONST11, CONST22
!REAL(KIND=JPRB) :: ZHOOK_HANDLE
REAL(rkind), DIMENSION(NANG) :: PP
REAL(rkind), DIMENSION(NFRE) :: FAC, CONST, SIG, CONSTF
REAL(rkind), DIMENSION(IJS:IJL) :: THWNEW, USNEW, Z0NEW, ROAIRN, WSTAR
REAL(rkind), DIMENSION(IJS:IJL) :: TAUX, TAUY, TAUPX,TAUPY,USTP,USDIRP
REAL(rkind), DIMENSION(IJS:IJL) :: Z0VIS, Z0NOZ, FWW
REAL(rkind), DIMENSION(IJS:IJL) :: PVISC, PTURB
REAL(rkind), DIMENSION(IJS:IJL) :: UCN1, UCN2, ZCN, CM
REAL(rkind), DIMENSION(IJS:IJL) :: SIG_N, UORBT, AORB, TEMP, RE, ZORB
REAL(rkind), DIMENSION(IJS:IJL) :: CNSN
REAL(rkind), DIMENSION(IJS:IJL) :: XSTRESS, YSTRESS
REAL(rkind), DIMENSION(IJS:IJL,NANG) :: TEMP1, UFAC2
REAL(rkind), DIMENSION(IJS:IJL,NFRE) :: XK
REAL(rkind), DIMENSION(IJS:IJL,NANG) :: DSTAB1, DSTAB2
REAL(rkind), DIMENSION(IJS:IJL,NANG,NFRE) :: F,FL,SL
REAL(rkind), DIMENSION(IJS:IJL,NANG,NFRE) :: DSTAB
REAL(rkind), DIMENSION(IJS:IJL,NANG,NFRE) :: XLLWS
REAL(rkind), DIMENSION(NANG,NFRE) :: SSIN, DSSIN
!IF (LHOOK) CALL DR_HOOK('SINPUT',0,ZHOOK_HANDLE)
! ----------------------------------------------------------------------
CONST1 = BETAMAX/XKAPPA**2 /ROWATER
NU_AIR = 1.4E-5
SWELLFPAR = 3.
SWELLF = 0.8
SWELLF2 = -0.018
SWELLF3 = 0.015
SWELLF4 = 1.E5
SWELLF5 = 1.2
SWELLF7 = 2.3E5
FU=ABS(SWELLF3)
FUD=SWELLF2
FW=MAX(ABS(SWELLF3),0.)
DELAB= (ABMAX-ABMIN)/REAL(IAB)
!
!* 1. PRECALCULATED ANGULAR DEPENDENCE.
! ---------------------------------
DO K=1,NANG
DO IJ=IJS,IJL
TEMP1(IJ,K) = COS(TH(K)-THWNEW(IJ))
ENDDO
ENDDO
! ESTIMATE THE STANDARD DEVIATION OF GUSTINESS.
CALL WSIGSTAR (IJS, IJL, USNEW, Z0NEW, WSTAR, SIG_N)
! ----------------------------------------------------------------------
! computation of Uorb and Aorb
! ----------------------------------------------------------------------
DO IJ=IJS,IJL
UORBT(IJ) = 0.
AORB(IJ) = 0.
ENDDO
DO M=1,NFRE
K=1
SIG(M) = ZPI*FR(M)
DO IJ=IJS,IJL
TEMP(IJ) = F(IJ,K,M)
ENDDO
DO K=2,NANG
DO IJ=IJS,IJL
TEMP(IJ) = TEMP(IJ)+F(IJ,K,M)
ENDDO
ENDDO
DO IJ=IJS,IJL
UORBT(IJ) = UORBT(IJ)+DFIM(M)*(SIG(M)**2)*TEMP(IJ)
AORB(IJ) = AORB(IJ)+DFIM(M)*TEMP(IJ)
ENDDO
ENDDO
DO IJ=IJS,IJL
UORBT(IJ) = 2*SQRT(UORBT(IJ)) ! this is the significant orbital amplitude
AORB(IJ) = 2*SQRT(AORB(IJ))
Z0VIS(IJ) = 0.1*NU_AIR/MAX(USNEW(IJ),0.0001)
Z0NOZ(IJ) = max(Z0VIS(IJ),0.04*Z0NEW(IJ))
ZORB(IJ) = AORB(IJ)/Z0NOZ(IJ)
IF (UORBT(IJ).NE.0.) THEN
RE(IJ) = 4*UORBT(IJ)*AORB(IJ) / NU_AIR ! this is the Reynolds number
ELSE
RE(IJ) = 0.
ENDIF
! calcul fww
FU=ABS(SWELLF3)
FUD=SWELLF2
XI=(LOG10(MAX(ZORB(IJ),3.)) &
-ABMIN)/DELAB
IND = MIN (IAB-1, INT(XI))
DELI1= MIN (1. ,XI-FLOAT(IND))
DELI2= 1. - DELI1
FWW(IJ) =SWELLFT(IND)*DELI2+SWELLFT(IND+1)*DELI1
!!!!!!!!!!!!!!!!
END DO
DO IJ=IJS,IJL
XSTRESS(IJ)=0.
YSTRESS(IJ)=0.
ENDDO
DO IJ=IJS,IJL
TAUX(IJ)=(USNEW(IJ)**2)*SIN(THWNEW(IJ))
TAUY(IJ)=(USNEW(IJ)**2)*COS(THWNEW(IJ))
ENDDO
!* 2. LOOP OVER FREQUENCIES.
! ----------------------
DO M=1,NFRE
DO IJ=IJS,IJL
TAUPX(IJ)=TAUX(IJ)-ABS(TAUWSHELTER)*XSTRESS(IJ)
TAUPY(IJ)=TAUY(IJ)-ABS(TAUWSHELTER)*YSTRESS(IJ)
USTP(IJ)=(TAUPX(IJ)**2+TAUPY(IJ)**2)**0.25
USDIRP(IJ)=ATAN2(TAUPX(IJ),TAUPY(IJ))
ENDDO
CONSTF(M) =ZPI*ROWATER*FR(M)*DFIM(M)
FAC(M) = ZPI*FR(M)
CONST(M)=FAC(M)*CONST1
DO K=1,NANG
DO IJ=IJS,IJL
TEMP1(IJ,K) = COS(TH(K)-USDIRP(IJ))
ENDDO
ENDDO
!* INVERSE OF PHASE VELOCITIES AND WAVE NUMBER.
! -------------------------------------------
IF (ISHALLO.EQ.1) THEN
DO IJ=IJS,IJL
CM(IJ) = FAC(M)/G
XK(IJ,M) = ((ZPI*FR(M))**2)/G
ENDDO
ELSE
DO IJ=IJS,IJL
CM(IJ) = WK(M,IJ)/FAC(M)
XK(IJ,M) = WK(M,IJ)
ENDDO
ENDIF
!* PRECALCULATE FREQUENCY DEPENDENCE.
! ----------------------------------
DO IJ=IJS,IJL
UCN1(IJ) = USTP(IJ)*(1.+SIG_N(IJ))*CM(IJ) + ZALP
UCN2(IJ) = USTP(IJ)*(1.-SIG_N(IJ))*CM(IJ) + ZALP
ZCN(IJ) = LOG(G*Z0NEW(IJ)*CM(IJ)**2)
CNSN(IJ) = CONST(M) * ROAIRN(IJ)
ENDDO
!* 2.1 LOOP OVER DIRECTIONS.
! ---------------------
DO K=1,NANG
DO IJ=IJS,IJL
IF (TEMP1(IJ,K).GT.0.01) THEN
X = TEMP1(IJ,K)*UCN1(IJ)
ZLOG = ZCN(IJ) + XKAPPA/X
IF (ZLOG.LT.0.) THEN
ZLOG2X=ZLOG*ZLOG*X
UFAC2(IJ,K) = EXP(ZLOG)*ZLOG2X*ZLOG2X
XLLWS(IJ,K,M)= 1.
ELSE
UFAC2(IJ,K) = 0.
XLLWS(IJ,K,M)= 0.
ENDIF
X = TEMP1(IJ,K)*UCN2(IJ)
ZLOG = ZCN(IJ) + XKAPPA/X
IF (ZLOG.LT.0.) THEN
ZLOG2X=ZLOG*ZLOG*X
UFAC2(IJ,K) = UFAC2(IJ,K)+EXP(ZLOG)*ZLOG2X*ZLOG2X
XLLWS(IJ,K,M)= 1.
ENDIF
ELSE
UFAC2(IJ,K) = 0.
XLLWS(IJ,K,M)=0.
ENDIF
ENDDO
ENDDO
! SWELL DAMPING:
DO K=1,NANG
PP(K) = 1.
DO IJ=IJS,IJL
YEPS = ROAIR/ROWATER
DSTAB1(IJ,K) = -SWELLF5*YEPS*2*XK(IJ,M)*SQRT(2*NU_AIR*SIG(M))*PP(K)
END DO
DO IJ=IJS,IJL
FW = 0.04*ZORB(IJ)**(-0.25)
DSTAB2(IJ,K) = -YEPS*SWELLF*(FWW(IJ)*UORBT(IJ)+(FU+FUD*TEMP1(IJ,K))*USTP(IJ)) &
*16*SIG(M)**2/G
END DO
END DO
IF (SWELLF7.GT.0.) THEN
DO IJ=IJS,IJL
SMOOTH=0.5*TANH((RE(IJ)-SWELLF4)/SWELLF7)
PTURB(IJ)=0.5+SMOOTH
PVISC(IJ)=0.5-SMOOTH
ENDDO
DO K=1,NANG
DO IJ=IJS,IJL
DSTAB(IJ,K,M) = PVISC(IJ)*DSTAB1(IJ,K)+PTURB(IJ)*DSTAB2(IJ,K)
ENDDO
END DO
ELSE
DO IJ=IJS,IJL
PTURB(IJ)=0.5
PVISC(IJ)=0.5
ENDDO
IF (RE(IJ).LE.SWELLF4) THEN
DO K=1,NANG
DO IJ=IJS,IJL
DSTAB(IJ,K,M) = PVISC(IJ)*DSTAB1(IJ,K)
ENDDO
END DO
ELSE
DO K=1,NANG
DO IJ=IJS,IJL
DSTAB(IJ,K,M) = PTURB(IJ)*DSTAB2(IJ,K)
ENDDO
END DO
ENDIF
ENDIF
!* 2.2 ADDING INPUT SOURCE TERM TO NET SOURCE FUNCTION.
! AND UPDATE THE SHELTERING STRESS.
! ------------------------------------------------
DO K=1,NANG
CONST11=CONSTF(M)*SINTH(K)
CONST22=CONSTF(M)*COSTH(K)
DO IJ=IJS,IJL
FL(IJ,K,M) = 0.5*CNSN(IJ)*UFAC2(IJ,K)+DSTAB(IJ,K,M)
SL(IJ,K,M) = FL(IJ,K,M)*F(IJ,K,M)
SSIN(K,M) = FL(IJ,K,M)*F(IJ,K,M)
DSSIN(K,M) = FL(IJ,K,M)
XSTRESS(IJ)=XSTRESS(IJ)+SL(IJ,K,M)*CONST11/MAX(ROAIRN(IJ),1.)
YSTRESS(IJ)=YSTRESS(IJ)+SL(IJ,K,M)*CONST22/MAX(ROAIRN(IJ),1.)
ENDDO
ENDDO
ENDDO
!IF (LHOOK) CALL DR_HOOK('SINPUT_ARD',1,ZHOOK_HANDLE)
RETURN
END SUBROUTINE SINPUT_ARD