-
Notifications
You must be signed in to change notification settings - Fork 0
/
wwm_sinput.F90
298 lines (237 loc) · 9.91 KB
/
wwm_sinput.F90
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
SUBROUTINE SINPUT (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.
!* 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.
! ----------
! NONE.
! 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 ,XKAPPA
!USE YOWFRED , ONLY : FR ,TH
!USE YOWPARAM , ONLY : NANG ,NFRE
!USE YOWPCONS , ONLY : G ,ZPI ,ROWATER ,YEPS
!USE YOWSHAL , ONLY : TFAK ,INDEP
!USE YOWSTAT , ONLY : ISHALLO ,IDAMPING
!USE YOMHOOK ,ONLY : LHOOK, DR_HOOK
USE DATAPOOL, ONLY : FR, WETAIL, FRTAIL, WP1TAIL, ISHALLO, RKIND, &
& DFIM, DFIMOFR, DFFR, DFFR2, WK, ZALP, TH, ICOMP, &
& IUSTAR, IALPHA, USTARM, TAUT, ONETHIRD, RKIND, &
& DELUST, DELALP, BETAMAX, XKAPPA, IDAMPING, &
& ROWATER => RHOW, TESTNODE, LOUTWAM, &
& DELTH => DDIR, &
& G => G9, &
& ZPI => PI2, &
& EPSMIN => SMALL, &
& NANG => MDC, &
& NFRE => MSC, &
& INDEP => DEP
IMPLICIT NONE
! ----------------------------------------------------------------------
! ALLOCATED ARRAYS THAT ARE PASSED AS SUBROUTINE ARGUMENTS
REAL(rkind),DIMENSION(IJS:IJL,NANG,NFRE) :: F, FL, SL
REAL(rkind),DIMENSION(IJS:IJL) :: THWNEW, USNEW, Z0NEW, ROAIRN, WSTAR
REAL(rkind),DIMENSION(NANG,NFRE) :: SSIN, DSSIN
! ----------------------------------------------------------------------
INTEGER :: IJ,IJS,IJL,IG,K,M
REAL(rkind) :: CONST1, CONST3, XKAPPAD
REAL(rkind) :: RWINV
REAL(rkind) :: X1,X2,ZLOG1,ZLOG2,ZLOG2X,XV1,XV2,ZBETA1,ZBETA2
REAL(rkind) :: ZHOOK_HANDLE
REAL(rkind), DIMENSION(NFRE) :: FAC, CONST
REAL(rkind), DIMENSION(IJS:IJL) :: UCN1, UCN2, ZCN, CM, USP, USM
REAL(rkind), DIMENSION(IJS:IJL) :: SH, XK
REAL(rkind), DIMENSION(IJS:IJL) :: SIG_N, XV1D, XV2D
REAL(rkind), DIMENSION(IJS:IJL) :: CNSN
REAL(rkind), DIMENSION(IJS:IJL) :: EPSIL
REAL(rkind), DIMENSION(IJS:IJL) :: UCN1D,UCN2D
REAL(rkind), DIMENSION(IJS:IJL,NANG) :: TEMP1, UFAC2
REAL(rkind), DIMENSION(IJS:IJL,NANG) :: TEMPD
REAL(rkind), DIMENSION(IJS:IJL,NANG,NFRE) :: XLLWS
LOGICAL, DIMENSION(IJS:IJL,NANG) :: LZ
! IF (LHOOK) CALL DR_HOOK('SINPUT',0,ZHOOK_HANDLE)
! ----------------------------------------------------------------------
CONST1 = BETAMAX/XKAPPA**2
CONST3 = 2.*XKAPPA/CONST1 ! SEE IDAMPING
XKAPPAD = 1.D0/XKAPPA
RWINV = 1.0/ROWATER
CONST3 = IDAMPING*CONST3
IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,*) '------- STARTING SINPUT --------'
IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(10F15.7)') CONST3,XKAPPAD,CONST3,SUM(F)
!* 1. PRECALCULATED ANGULAR DEPENDENCE.
! ---------------------------------
DO K=1,NANG
DO IJ=IJS,IJL
TEMP1(IJ,K) = COS(TH(K)-THWNEW(IJ))
IF(TEMP1(IJ,K) .GT. 0.01) THEN
LZ(IJ,K) = .TRUE.
TEMPD(IJ,K) = 1.D0/TEMP1(IJ,K)
ELSE
LZ(IJ,K) = .FALSE.
TEMPD(IJ,K) = 1.D0
ENDIF
!IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(2I10,5F20.10)') M,K,TH(K),THWNEW(IJ)
ENDDO
ENDDO
! ESTIMATE THE STANDARD DEVIATION OF GUSTINESS.
CALL WSIGSTAR (IJS, IJL, USNEW, Z0NEW, WSTAR, SIG_N)
DO IJ=IJS,IJL
USP(IJ) = USNEW(IJ)*(1.+SIG_N(IJ))
USM(IJ) = USNEW(IJ)*(1.-SIG_N(IJ))
ENDDO
DO IJ=IJS,IJL
EPSIL(IJ) = ROAIRN(IJ)*RWINV
ENDDO
! ----------------------------------------------------------------------
!* 2. LOOP OVER FREQUENCIES.
! ----------------------
DO M=1,NFRE
FAC(M) = ZPI*FR(M)
CONST(M)=FAC(M)*CONST1
!* INVERSE OF PHASE VELOCITIES.
! ----------------------------
IF (ISHALLO.EQ.1) THEN
DO IJ=IJS,IJL
XK(IJ) = FAC(M)**2/G
CM(IJ) = FAC(M)/G
SH(IJ) = 1.0
ENDDO
ELSE
DO IJ=IJS,IJL
XK(IJ) = WK(M,IJ)
CM(IJ) = XK(IJ)/FAC(M)
SH(IJ) = FAC(M)**2/(G*XK(IJ))
ENDDO
ENDIF
!* PRECALCULATE FREQUENCY DEPENDENCE.
! ----------------------------------
DO IJ=IJS,IJL
UCN1(IJ) = USP(IJ)*CM(IJ) + ZALP
UCN2(IJ) = USM(IJ)*CM(IJ) + ZALP
UCN1D(IJ) = 1.D0/ UCN1(IJ)
UCN2D(IJ) = 1.D0/ UCN2(IJ)
ZCN(IJ) = LOG(XK(IJ)*Z0NEW(IJ))
CNSN(IJ) = CONST(M)*SH(IJ)*EPSIL(IJ)
XV1 = -USP(IJ)*XKAPPAD*ZCN(IJ)*CM(IJ)
XV2 = -USM(IJ)*XKAPPAD*ZCN(IJ)*CM(IJ)
XV1D(IJ) = 1.D0/XV1
XV2D(IJ) = 1.D0/XV2
!IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(5F30.20)') UCN1(IJ),UCN2(IJ),ZCN(IJ)
!IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(5F30.20)') CNSN(IJ),XV1D(IJ),XV2D(IJ)
ENDDO
!* 2.1 LOOP OVER DIRECTIONS.
! ---------------------
DO K=1,NANG
DO IJ=IJS,IJL
ZBETA1 = CONST3*(TEMP1(IJ,K)-XV1D(IJ))*UCN1(IJ)**2
ZBETA2 = CONST3*(TEMP1(IJ,K)-XV2D(IJ))*UCN2(IJ)**2
IF (LZ(IJ,K)) THEN
ZLOG1 = ZCN(IJ) + XKAPPA*TEMPD(IJ,K)*UCN1D(IJ)
ZLOG2 = ZCN(IJ) + XKAPPA*TEMPD(IJ,K)*UCN2D(IJ)
IF (ZLOG1.LT.0.) THEN
X1=TEMP1(IJ,K)*UCN1(IJ)
ZLOG2X=ZLOG1*ZLOG1*X1
UFAC2(IJ,K) = EXP(ZLOG1)*ZLOG2X*ZLOG2X+ZBETA1
XLLWS(IJ,K,M)= 1.
ELSE
UFAC2(IJ,K) = ZBETA1
XLLWS(IJ,K,M)= 0.
ENDIF
IF (ZLOG2.LT.0.) THEN
X2=TEMP1(IJ,K)*UCN2(IJ)
ZLOG2X=ZLOG2*ZLOG2*X2
UFAC2(IJ,K) = UFAC2(IJ,K)+&
& EXP(ZLOG2)*ZLOG2X*ZLOG2X+ZBETA2
XLLWS(IJ,K,M)= 1.
ELSE
UFAC2(IJ,K) = UFAC2(IJ,K)+ZBETA2
ENDIF
ELSE
UFAC2(IJ,K) = ZBETA1+ZBETA2
XLLWS(IJ,K,M)= 0.
ENDIF
!IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(2I10,10F15.7)') M, K, TEMPD(IJ,K)
ENDDO
ENDDO
!* 2.2 ADDING INPUT SOURCE TERM TO NET SOURCE FUNCTION.
! ------------------------------------------------
DO K=1,NANG
DO IJ=IJS,IJL
FL(IJ,K,M) = 0.5*CNSN(IJ)*UFAC2(IJ,K)
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) = 0.5*CNSN(IJ)*UFAC2(IJ,K)
ENDDO
ENDDO
ENDDO ! FREQUENCY LOOP
IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(A30)') '--------- NOW THE SPECTRA ---------'
DO M = 1, NFRE
DO IJ=IJS,IJL
IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,'(3F30.20)') SUM(F(IJ,:,M)), SUM(FL(IJ,:,M)), SUM(SL(IJ,:,M))
END DO
END DO
IF (LOUTWAM .AND. IJS == TESTNODE) WRITE(111114,*) '------- FINISHED SINPUT ---------'
!IF (LHOOK) CALL DR_HOOK('SINPUT',1,ZHOOK_HANDLE)
RETURN
END SUBROUTINE SINPUT