1 | !************************************************************************ |
---|
2 | ! Fortran 95 OPA Nesting tools * |
---|
3 | ! * |
---|
4 | ! Copyright (C) 2005 Florian Lemarié (Florian.Lemarie@imag.fr) * |
---|
5 | ! Laurent Debreu (Laurent.Debreu@imag.fr) * |
---|
6 | !************************************************************************ |
---|
7 | ! |
---|
8 | !Smoothing procedures : Pierrick Penven 2004 |
---|
9 | ! |
---|
10 | MODULE agrif_connect_topo |
---|
11 | ! |
---|
12 | USE agrif_types |
---|
13 | ! |
---|
14 | IMPLICIT NONE |
---|
15 | ! |
---|
16 | CONTAINS |
---|
17 | ! |
---|
18 | ! |
---|
19 | !************************************************************************ |
---|
20 | ! * |
---|
21 | ! MODULE CONNECT_TOPO * |
---|
22 | ! * |
---|
23 | ! module containing subroutine used for : * |
---|
24 | ! - Parent-Child bathymetry connection * |
---|
25 | ! - Bathymetry smoothing * |
---|
26 | ! - Meters to levels conversion * |
---|
27 | ! - Parent Bathymetry update * |
---|
28 | ! * |
---|
29 | !************************************************************************ |
---|
30 | ! |
---|
31 | !**************************************************************** |
---|
32 | ! subroutine init_constant_bathy * |
---|
33 | ! * |
---|
34 | ! * |
---|
35 | ! - input : * |
---|
36 | ! coarse_bathy : coarse grid bathymetry * |
---|
37 | ! - ouput : * |
---|
38 | ! bathy_fin_constant : coarse bathymetry on fine grid * |
---|
39 | ! * |
---|
40 | !**************************************************************** |
---|
41 | ! |
---|
42 | SUBROUTINE init_constant_bathy(coarse_bathy,bathy_fin_constant) |
---|
43 | ! |
---|
44 | IMPLICIT NONE |
---|
45 | ! |
---|
46 | INTEGER :: i,j,ii,jj,ji |
---|
47 | INTEGER :: jpt,ipt,diff,indx,indy,bornex,borney,bornex2,borney2 |
---|
48 | INTEGER :: jdeb,ideb,ifin,jfin |
---|
49 | REAL*8, DIMENSION(:,:) :: coarse_bathy |
---|
50 | REAL*8, DIMENSION(:,:),POINTER :: bathy_fin_constant |
---|
51 | TYPE(Coordinates) :: Grid |
---|
52 | ! |
---|
53 | ! |
---|
54 | diff = 0 |
---|
55 | IF(MOD(rho,2) .EQ. 0) diff = 1 |
---|
56 | ! |
---|
57 | indx = 2 + CEILING(irafx/2.0) + diff |
---|
58 | indy = 2 + CEILING(irafy/2.0) + diff |
---|
59 | bornex = nbghostcellsfine + CEILING(irafx/2.0) + diff - irafx |
---|
60 | borney = nbghostcellsfine + CEILING(irafy/2.0) + diff - irafy |
---|
61 | bornex2 = nxfin - (nbghostcellsfine-1) + irafx - CEILING(irafx/2.0) |
---|
62 | borney2 = nyfin - (nbghostcellsfine-1) + irafy - CEILING(irafy/2.0) |
---|
63 | ! |
---|
64 | ALLOCATE(bathy_fin_constant(bornex-FLOOR(irafx/2.0):bornex2+FLOOR(irafx/2.0), & |
---|
65 | borney-FLOOR(irafy/2.0):borney2+FLOOR(irafy/2.0))) |
---|
66 | ! |
---|
67 | DO j = borney,borney2,irafy |
---|
68 | |
---|
69 | jpt = jmin + 3 - 1 + (j-indy)/irafy |
---|
70 | IF(j<=1) jpt = jmin + 1 |
---|
71 | |
---|
72 | DO i = bornex,bornex2,irafx |
---|
73 | |
---|
74 | ipt = imin + 3 - 1 + (i-indx)/irafx |
---|
75 | IF(i<=1) ipt = imin + 1 |
---|
76 | ! |
---|
77 | DO jj = j-FLOOR(irafy/2.0),j+FLOOR(irafy/2.0)-diff |
---|
78 | DO ii = i-FLOOR(irafx/2.0),i+FLOOR(irafx/2.0)-diff |
---|
79 | |
---|
80 | bathy_fin_constant(ii,jj) = coarse_bathy(ipt,jpt) |
---|
81 | |
---|
82 | END DO |
---|
83 | END DO |
---|
84 | |
---|
85 | END DO |
---|
86 | END DO |
---|
87 | ! |
---|
88 | ! |
---|
89 | END SUBROUTINE init_constant_bathy |
---|
90 | ! |
---|
91 | !**************************************************************** |
---|
92 | ! subroutine meter_to_levels * |
---|
93 | ! * |
---|
94 | ! subroutine to convert bathymetry in meters to bathymetry * |
---|
95 | ! in vertical levels * |
---|
96 | ! * |
---|
97 | ! - input/output : * |
---|
98 | ! Grid : grid where conversion is required * |
---|
99 | ! * |
---|
100 | !various input parameters come from namelist.input files * |
---|
101 | !**************************************************************** |
---|
102 | ! |
---|
103 | SUBROUTINE meter_to_levels(Grid) |
---|
104 | ! |
---|
105 | IMPLICIT NONE |
---|
106 | ! |
---|
107 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin,zmax |
---|
108 | TYPE(Coordinates) :: Grid |
---|
109 | INTEGER :: i,j |
---|
110 | INTEGER, DIMENSION(1) :: k |
---|
111 | INTEGER :: k1,ji,jj,jpi,jpj |
---|
112 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
---|
113 | ! |
---|
114 | WRITE(*,*) 'convert bathymetry from etopo to vertical levels' |
---|
115 | ! |
---|
116 | jpi = SIZE(Grid%bathy_meter,1) |
---|
117 | jpj = SIZE(Grid%bathy_meter,2) |
---|
118 | ! |
---|
119 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
---|
120 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
---|
121 | ! |
---|
122 | za1=( ppdzmin - pphmax / (N-1) ) & |
---|
123 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
---|
124 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
---|
125 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
---|
126 | |
---|
127 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
---|
128 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
---|
129 | ! |
---|
130 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
---|
131 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
---|
132 | ! |
---|
133 | zsur = psur |
---|
134 | za0 = pa0 |
---|
135 | za1 = pa1 |
---|
136 | ! |
---|
137 | ELSE |
---|
138 | ! |
---|
139 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
---|
140 | WRITE(*,*) ' ' |
---|
141 | WRITE(*,*) 'please check values of variables' |
---|
142 | WRITE(*,*) 'in namelist vertical_grid section' |
---|
143 | WRITE(*,*) ' ' |
---|
144 | STOP |
---|
145 | ! |
---|
146 | ENDIF |
---|
147 | |
---|
148 | zacr = ppacr |
---|
149 | zkth = ppkth |
---|
150 | |
---|
151 | ! |
---|
152 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
---|
153 | ! |
---|
154 | DO i = 1,N |
---|
155 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
---|
156 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
---|
157 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
---|
158 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
---|
159 | END DO |
---|
160 | ! |
---|
161 | gdepw(1) = 0.0 |
---|
162 | zmax = gdepw(N) + e3t(N) |
---|
163 | zmin = gdepw(4) |
---|
164 | ! |
---|
165 | IF ( .NOT. ASSOCIATED(Grid%bathy_level)) & |
---|
166 | ALLOCATE(Grid%bathy_level(jpi,jpj)) |
---|
167 | ! |
---|
168 | Grid%bathy_level = N-1 |
---|
169 | ! |
---|
170 | DO jj = 1, jpj |
---|
171 | DO ji= 1, jpi |
---|
172 | IF( Grid%bathy_meter(ji,jj) <= 0. ) & |
---|
173 | Grid%bathy_level(ji,jj) = INT( Grid%bathy_meter(ji,jj) ) |
---|
174 | END DO |
---|
175 | END DO |
---|
176 | ! |
---|
177 | DO jj = 1, jpj |
---|
178 | DO ji= 1, jpi |
---|
179 | IF( Grid%bathy_meter(ji,jj) <= 0. ) THEN |
---|
180 | Grid%bathy_meter(ji,jj) = 0.e0 |
---|
181 | ELSE |
---|
182 | Grid%bathy_meter(ji,jj) = MAX( Grid%bathy_meter(ji,jj), zmin ) |
---|
183 | Grid%bathy_meter(ji,jj) = MIN( Grid%bathy_meter(ji,jj), zmax ) |
---|
184 | ENDIF |
---|
185 | END DO |
---|
186 | END DO |
---|
187 | ! |
---|
188 | ! |
---|
189 | ! |
---|
190 | DO j = 1,jpj |
---|
191 | DO i = 1,jpi |
---|
192 | ! |
---|
193 | IF (Grid%bathy_meter(i,j) .EQ. 0.0 ) THEN |
---|
194 | Grid%bathy_level(i,j)=0. |
---|
195 | ELSE |
---|
196 | ! |
---|
197 | k1=4 |
---|
198 | DO WHILE (k1 .LT. (N-1)) |
---|
199 | IF ((Grid%bathy_meter(i,j).GE.gdepw(k1)) & |
---|
200 | .AND.(Grid%bathy_meter(i,j).LE.gdepw(k1+1))) EXIT |
---|
201 | k1=k1+1 |
---|
202 | END DO |
---|
203 | Grid%bathy_level(i,j)=k1 |
---|
204 | ! |
---|
205 | ENDIF |
---|
206 | ! |
---|
207 | END DO |
---|
208 | END DO |
---|
209 | ! |
---|
210 | END SUBROUTINE meter_to_levels |
---|
211 | ! |
---|
212 | !! |
---|
213 | !**************************************************************** |
---|
214 | ! subroutine levels_to_meter * |
---|
215 | ! * |
---|
216 | ! subroutine to convert bathymetry in meters to bathymetry * |
---|
217 | ! in vertical levels * |
---|
218 | ! * |
---|
219 | ! - input/output : * |
---|
220 | ! Grid : grid where conversion is required * |
---|
221 | ! * |
---|
222 | !various input parameters come from namelist.input files * |
---|
223 | !**************************************************************** |
---|
224 | ! |
---|
225 | SUBROUTINE levels_to_meter(Grid) |
---|
226 | ! |
---|
227 | IMPLICIT NONE |
---|
228 | ! |
---|
229 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin,zmax |
---|
230 | TYPE(Coordinates) :: Grid |
---|
231 | INTEGER :: i,j |
---|
232 | INTEGER, DIMENSION(1) :: k |
---|
233 | INTEGER :: k1,ji,jj,jpi,jpj |
---|
234 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
---|
235 | ! |
---|
236 | WRITE(*,*) 'convert bathymetry in meters for smoothing' |
---|
237 | ! |
---|
238 | jpi = SIZE(Grid%bathy_level,1) |
---|
239 | jpj = SIZE(Grid%bathy_level,2) |
---|
240 | ! |
---|
241 | ! |
---|
242 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
---|
243 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
---|
244 | ! |
---|
245 | za1=( ppdzmin - pphmax / (N-1) ) & |
---|
246 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
---|
247 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
---|
248 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
---|
249 | |
---|
250 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
---|
251 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
---|
252 | ! |
---|
253 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
---|
254 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
---|
255 | ! |
---|
256 | zsur = psur |
---|
257 | za0 = pa0 |
---|
258 | za1 = pa1 |
---|
259 | ! |
---|
260 | ELSE |
---|
261 | ! |
---|
262 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
---|
263 | WRITE(*,*) ' ' |
---|
264 | WRITE(*,*) 'please check values of variables' |
---|
265 | WRITE(*,*) 'in namelist vertical_grid section' |
---|
266 | WRITE(*,*) ' ' |
---|
267 | STOP |
---|
268 | ! |
---|
269 | ENDIF |
---|
270 | ! |
---|
271 | zacr = ppacr |
---|
272 | zkth = ppkth |
---|
273 | |
---|
274 | ! |
---|
275 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
---|
276 | ! |
---|
277 | DO i = 1,N |
---|
278 | ! |
---|
279 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
---|
280 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
---|
281 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
---|
282 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
---|
283 | END DO |
---|
284 | ! |
---|
285 | gdepw(1) = 0.0 |
---|
286 | ! |
---|
287 | IF(.NOT. ASSOCIATED(Grid%bathy_meter)) THEN |
---|
288 | ALLOCATE(Grid%bathy_meter(jpi,jpj)) |
---|
289 | ELSE |
---|
290 | IF( ANY(SHAPE(Grid%bathy_meter)/=(/jpi,jpj/)) ) THEN |
---|
291 | DEALLOCATE(Grid%bathy_meter) |
---|
292 | ALLOCATE(Grid%bathy_meter(jpi,jpj)) |
---|
293 | ENDIF |
---|
294 | ENDIF |
---|
295 | ! |
---|
296 | DO jj = 1, jpj |
---|
297 | DO ji= 1, jpi |
---|
298 | ! |
---|
299 | Grid%bathy_meter(ji,jj) = gdepw( INT( Grid%bathy_level(ji,jj) ) + 1 ) |
---|
300 | ! |
---|
301 | END DO |
---|
302 | END DO |
---|
303 | ! |
---|
304 | END SUBROUTINE levels_to_meter |
---|
305 | ! |
---|
306 | |
---|
307 | !**************************************************************** |
---|
308 | ! subroutine smooth_topo * |
---|
309 | ! * |
---|
310 | ! subroutine to smooth a given bathymetry (in meters) * |
---|
311 | ! hanning filter is used (smoothing criterion : rfactor) * |
---|
312 | ! * |
---|
313 | ! - input/output : * |
---|
314 | ! h : bathymetry * |
---|
315 | ! * |
---|
316 | !various input parameters are stored in namelist.input files * |
---|
317 | !**************************************************************** |
---|
318 | ! |
---|
319 | SUBROUTINE smooth_topo(h,nbiter) |
---|
320 | ! |
---|
321 | IMPLICIT NONE |
---|
322 | ! |
---|
323 | REAL*8, DIMENSION(:,:) :: h |
---|
324 | REAL*8 :: hmin,cff,nu,r |
---|
325 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: rx,ry,cx,cy,f_x,f_y |
---|
326 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,nbiter,i,j |
---|
327 | REAL*8,DIMENSION(:,:),ALLOCATABLE :: maskedtopo |
---|
328 | ! |
---|
329 | M = SIZE(h,1) |
---|
330 | L = SIZE(h,2) |
---|
331 | ! |
---|
332 | ALLOCATE(cx(M,L),cy(M,L)) |
---|
333 | ALLOCATE(rx(M,L),ry(M,L)) |
---|
334 | ALLOCATE(f_x(M,L),f_y(M,L)) |
---|
335 | ALLOCATE(maskedtopo(M,L)) |
---|
336 | ! |
---|
337 | WRITE(*,*) '' |
---|
338 | WRITE(*,*) 'smooth the topography (Hanning filter)' |
---|
339 | WRITE(*,*) 'slope parameter = ',smoothing_factor |
---|
340 | ! |
---|
341 | hmin = 1.1 |
---|
342 | WHERE(h <= hmin) |
---|
343 | h = hmin |
---|
344 | END WHERE |
---|
345 | ! |
---|
346 | WHERE (h == hmin) |
---|
347 | maskedtopo = 0. |
---|
348 | ELSEWHERE |
---|
349 | maskedtopo = 1. |
---|
350 | END WHERE |
---|
351 | ! |
---|
352 | Mm = M-1 |
---|
353 | Mmm = Mm - 1 |
---|
354 | Lm = L-1 |
---|
355 | Lmm = Lm - 1 |
---|
356 | cff = 0.8 |
---|
357 | nu = 3.0/16.0 |
---|
358 | rx=0. |
---|
359 | ry=0. |
---|
360 | CALL rfact(h,rx,ry,maskedtopo) |
---|
361 | r = MAX(MAXVAL(rx),MAXVAL(ry)) |
---|
362 | h = LOG(h) |
---|
363 | nbiter = 0 |
---|
364 | ! |
---|
365 | DO WHILE (r.GT.smoothing_factor .AND. nbiter < 500 ) |
---|
366 | ! |
---|
367 | nbiter=nbiter+1 |
---|
368 | WHERE(rx > cff*smoothing_factor) |
---|
369 | cx = 1 |
---|
370 | ELSEWHERE |
---|
371 | cx = 0 |
---|
372 | END WHERE |
---|
373 | CALL hanningx(cx,maskedtopo) |
---|
374 | WHERE(ry > cff*smoothing_factor) |
---|
375 | cy = 1 |
---|
376 | ELSEWHERE |
---|
377 | cy = 0 |
---|
378 | END WHERE |
---|
379 | CALL hanningy(cy,maskedtopo) |
---|
380 | CALL FX(h,f_x,cx,maskedtopo) |
---|
381 | CALL FY(h,f_y,cy,maskedtopo) |
---|
382 | h(2:Mm,2:Lm) = h(2:Mm,2:Lm) + maskedtopo(2:Mm,2:Lm)*nu * & |
---|
383 | ((f_x(2:Mm,3:L)-f_x(2:Mm,2:Lm)) + & |
---|
384 | (f_y(3:M,2:Lm)-f_y(2:Mm,2:Lm))) |
---|
385 | CALL rfact(EXP(h),rx,ry,maskedtopo) |
---|
386 | r = MAX(MAXVAL(rx(2:Mm,2:L)),MAXVAL(ry(2:M,2:Lm))) |
---|
387 | ! |
---|
388 | END DO |
---|
389 | ! |
---|
390 | WRITE(*,*) 'iterations = ',nbiter |
---|
391 | WRITE(*,*) '' |
---|
392 | h = EXP(h) |
---|
393 | WHERE( ABS(h-hmin) <= 0.001 ) |
---|
394 | h = 0. |
---|
395 | END WHERE |
---|
396 | DEALLOCATE(rx,ry,cx,cy,f_x,f_y,maskedtopo) |
---|
397 | ! |
---|
398 | END SUBROUTINE smooth_topo |
---|
399 | ! |
---|
400 | !************************************************************************ |
---|
401 | ! subroutine hanning(bathy_meter) |
---|
402 | !************************************************************************ |
---|
403 | ! |
---|
404 | SUBROUTINE hanning(h,maskedtopo) |
---|
405 | ! |
---|
406 | IMPLICIT NONE |
---|
407 | ! |
---|
408 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
---|
409 | ! |
---|
410 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
---|
411 | ! |
---|
412 | M = SIZE(h,1) |
---|
413 | L = SIZE(h,2) |
---|
414 | Mm = M-1 |
---|
415 | Mmm = Mm - 1 |
---|
416 | Lm = L-1 |
---|
417 | Lmm = Lm - 1 |
---|
418 | ! |
---|
419 | h(2:Mm,2:Lm) = maskedtopo(2:Mm,2:Lm)*0.125*( h(1:Mmm,2:Lm) + & |
---|
420 | h(3:M,2:Lm) + & |
---|
421 | h(2:Mm,1:Lmm) + & |
---|
422 | h(2:Mm,3:L) + & |
---|
423 | 4*h(2:Mm,2:Lm))+(1.-maskedtopo(2:Mm,2:Lm))*h(2:Mm,2:Lm) |
---|
424 | ! |
---|
425 | END SUBROUTINE hanning |
---|
426 | ! |
---|
427 | !************************************************************************ |
---|
428 | ! subroutine hanningx(bathy_meter) |
---|
429 | !************************************************************************ |
---|
430 | ! |
---|
431 | SUBROUTINE hanningx(h,maskedtopo) |
---|
432 | ! |
---|
433 | IMPLICIT NONE |
---|
434 | ! |
---|
435 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
---|
436 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: htemp |
---|
437 | ! |
---|
438 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
---|
439 | INTEGER :: i,j |
---|
440 | ! |
---|
441 | M = SIZE(h,1) |
---|
442 | L = SIZE(h,2) |
---|
443 | Mm = M-1 |
---|
444 | Mmm = Mm - 1 |
---|
445 | Lm = L-1 |
---|
446 | Lmm = Lm - 1 |
---|
447 | |
---|
448 | ALLOCATE(htemp(M,L)) |
---|
449 | ! |
---|
450 | htemp = h |
---|
451 | DO j=3,Lm |
---|
452 | DO i=2,Mm |
---|
453 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
454 | h(i,j)=0.125*(htemp(i-1,j)+htemp(i+1,j) & |
---|
455 | +htemp(i,j+1)+htemp(i,j-1)+4.*htemp(i,j)) |
---|
456 | ENDIF |
---|
457 | ENDDO |
---|
458 | ENDDO |
---|
459 | j=2 |
---|
460 | DO i=2,Mm |
---|
461 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
462 | h(i,j)=0.25*(htemp(i+1,j)+htemp(i-1,j)+2.*htemp(i,j)) |
---|
463 | ENDIF |
---|
464 | ENDDO |
---|
465 | j=L |
---|
466 | DO i=2,Mm |
---|
467 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .NE.0.) THEN |
---|
468 | h(i,j)=0.25*(htemp(i+1,j)+htemp(i-1,j)+2.*htemp(i,j)) |
---|
469 | ENDIF |
---|
470 | ENDDO |
---|
471 | DEALLOCATE(htemp) |
---|
472 | ! |
---|
473 | END SUBROUTINE hanningx |
---|
474 | |
---|
475 | !************************************************************************ |
---|
476 | ! subroutine hanning(bathy_meter) |
---|
477 | !************************************************************************ |
---|
478 | ! |
---|
479 | SUBROUTINE hanningy(h,maskedtopo) |
---|
480 | ! |
---|
481 | IMPLICIT NONE |
---|
482 | ! |
---|
483 | REAL*8, DIMENSION(:,:) :: h,maskedtopo |
---|
484 | REAL*8, DIMENSION(:,:), ALLOCATABLE :: htemp |
---|
485 | ! |
---|
486 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L |
---|
487 | INTEGER :: i,j |
---|
488 | ! |
---|
489 | M = SIZE(h,1) |
---|
490 | L = SIZE(h,2) |
---|
491 | Mm = M-1 |
---|
492 | Mmm = Mm - 1 |
---|
493 | Lm = L-1 |
---|
494 | Lmm = Lm - 1 |
---|
495 | ALLOCATE(htemp(M,L)) |
---|
496 | ! |
---|
497 | htemp = h |
---|
498 | |
---|
499 | DO j=2,Lm |
---|
500 | DO i=3,Mm |
---|
501 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
502 | h(i,j)=0.125*(htemp(i-1,j)+htemp(i+1,j) & |
---|
503 | +htemp(i,j+1)+htemp(i,j-1)+4.*htemp(i,j)) |
---|
504 | ENDIF |
---|
505 | ENDDO |
---|
506 | ENDDO |
---|
507 | |
---|
508 | i=2 |
---|
509 | DO j=2,Lm |
---|
510 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
511 | h(i,j)=0.25*(htemp(i,j+1)+htemp(i,j-1)+2.*htemp(i,j)) |
---|
512 | ENDIF |
---|
513 | ENDDO |
---|
514 | |
---|
515 | i=M |
---|
516 | DO j=2,Lm |
---|
517 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .NE.0.) THEN |
---|
518 | h(i,j)=0.25*(htemp(i,j+1)+htemp(i,j-1)+2.*htemp(i,j)) |
---|
519 | ENDIF |
---|
520 | ENDDO |
---|
521 | |
---|
522 | DEALLOCATE(htemp) |
---|
523 | ! |
---|
524 | END SUBROUTINE hanningy |
---|
525 | |
---|
526 | ! |
---|
527 | !************************************************************************ |
---|
528 | ! subroutine FX(bathy_meter,fx) |
---|
529 | !************************************************************************ |
---|
530 | ! |
---|
531 | SUBROUTINE FX(h,f,c,maskedtopo) |
---|
532 | ! |
---|
533 | IMPLICIT NONE |
---|
534 | ! |
---|
535 | REAL*8, DIMENSION(:,:) :: h,c |
---|
536 | REAL*8, DIMENSION(:,:) :: f,maskedtopo |
---|
537 | REAL*8, DIMENSION(SIZE(h,1),SIZE(h,2)) :: floc |
---|
538 | ! |
---|
539 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,i,j |
---|
540 | ! |
---|
541 | f = 0.0 |
---|
542 | M = SIZE(h,1) |
---|
543 | L = SIZE(h,2) |
---|
544 | Mm = M-1 |
---|
545 | Mmm = Mm - 1 |
---|
546 | Lm = L-1 |
---|
547 | Lmm = Lm - 1 |
---|
548 | floc = 0. |
---|
549 | |
---|
550 | DO j=2,L |
---|
551 | DO i=1,M |
---|
552 | |
---|
553 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)).EQ.0.) THEN |
---|
554 | floc(i,j)=0. |
---|
555 | ELSEIF ((i.EQ.1).OR.(i.EQ.M)) THEN |
---|
556 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
557 | ELSEIF ((maskedtopo(i-1,j)*maskedtopo(i-1,j-1)).EQ.0.) THEN |
---|
558 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
559 | ELSEIF ((maskedtopo(i+1,j)*maskedtopo(i+1,j-1)).EQ.0.) THEN |
---|
560 | floc(i,j)=(7./12.)*(h(i,j)-h(i,j-1)) |
---|
561 | ELSE |
---|
562 | floc(i,j)=(5./12.)*(h(i,j)-h(i,j-1)) & |
---|
563 | +(1./12.)*(h(i-1,j)-h(i-1,j-1)+h(i+1,j)-h(i+1,j-1)) |
---|
564 | ENDIF |
---|
565 | ENDDO |
---|
566 | ENDDO |
---|
567 | ! |
---|
568 | DO j = 1,L |
---|
569 | DO i = 1,M |
---|
570 | f(i,j) = c(i,j)*floc(i,j) |
---|
571 | END DO |
---|
572 | END DO |
---|
573 | ! |
---|
574 | ! |
---|
575 | END SUBROUTINE FX |
---|
576 | ! |
---|
577 | ! |
---|
578 | ! |
---|
579 | !************************************************************************ |
---|
580 | ! subroutine FY(bathy_meter,fy) |
---|
581 | !************************************************************************ |
---|
582 | ! |
---|
583 | SUBROUTINE FY(h,f,c,maskedtopo) |
---|
584 | ! |
---|
585 | IMPLICIT NONE |
---|
586 | ! |
---|
587 | REAL*8, DIMENSION(:,:) :: h,c |
---|
588 | REAL*8, DIMENSION(:,:) :: f,maskedtopo |
---|
589 | REAL*8, DIMENSION(SIZE(h,1),SIZE(h,2)) :: floc |
---|
590 | INTEGER :: Mm,Mmm,Lm,Lmm,M,L,i,j |
---|
591 | f=0.0 |
---|
592 | ! |
---|
593 | M = SIZE(h,1) |
---|
594 | L = SIZE(h,2) |
---|
595 | Mm = M-1 |
---|
596 | Mmm = Mm - 1 |
---|
597 | Lm = L-1 |
---|
598 | Lmm = Lm - 1 |
---|
599 | ! |
---|
600 | floc = 0. |
---|
601 | |
---|
602 | DO j=1,L |
---|
603 | DO i=2,M |
---|
604 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)).EQ.0.) THEN |
---|
605 | floc(i,j) = 0. |
---|
606 | ELSEIF ((j.EQ.1).OR.(j.EQ.L)) THEN |
---|
607 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
608 | ELSEIF ((maskedtopo(i,j-1)*maskedtopo(i-1,j-1)).EQ.0.) THEN |
---|
609 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
610 | ELSEIF ((maskedtopo(i,j+1)*maskedtopo(i-1,j+1)).EQ.0.) THEN |
---|
611 | floc(i,j)=(7./12.)*(h(i,j)-h(i-1,j)) |
---|
612 | ELSE |
---|
613 | floc(i,j)=(5./12.)*(h(i,j)-h(i-1,j)) & |
---|
614 | +(1./12.)*(h(i,j-1)-h(i-1,j-1)+h(i,j+1)-h(i-1,j+1)) |
---|
615 | ENDIF |
---|
616 | ENDDO |
---|
617 | ENDDO |
---|
618 | ! |
---|
619 | DO j = 1,L |
---|
620 | DO i = 1,M |
---|
621 | f(i,j) = c(i,j)*floc(i,j) |
---|
622 | END DO |
---|
623 | END DO |
---|
624 | ! |
---|
625 | END SUBROUTINE FY |
---|
626 | ! |
---|
627 | ! |
---|
628 | !**************************************************************** |
---|
629 | ! subroutine rfact * |
---|
630 | ! * |
---|
631 | ! subroutine to check if smoothing criterion * |
---|
632 | ! is verified everywhere * |
---|
633 | ! * |
---|
634 | ! - input : * |
---|
635 | ! h : bathymetry * |
---|
636 | ! - ouput : * |
---|
637 | ! rx,ry : delta(theta)/theta in x and y directions * |
---|
638 | !**************************************************************** |
---|
639 | ! |
---|
640 | SUBROUTINE rfact(h,rx,ry,maskedtopo) |
---|
641 | ! |
---|
642 | IMPLICIT NONE |
---|
643 | ! |
---|
644 | REAL*8, DIMENSION(:,:) :: h |
---|
645 | REAL*8, DIMENSION(:,:) :: rx,ry |
---|
646 | REAL*8, DIMENSION(:,:) :: maskedtopo |
---|
647 | INTEGER M,L,i,j,Mm,Mmm,Lm,Lmm |
---|
648 | ! |
---|
649 | M = SIZE(h,1) |
---|
650 | L = SIZE(h,2) |
---|
651 | Mm = M-1 |
---|
652 | Mmm = Mm - 1 |
---|
653 | Lm = L-1 |
---|
654 | Lmm = Lm - 1 |
---|
655 | ! |
---|
656 | rx=0. |
---|
657 | ry=0. |
---|
658 | ! |
---|
659 | DO j=2,L |
---|
660 | DO i=1,M |
---|
661 | rx(i,j) = ABS(h(i,j)-h(i,j-1))/(h(i,j)+h(i,j-1)) |
---|
662 | IF ((maskedtopo(i,j)*maskedtopo(i,j-1)) .EQ.0.) THEN |
---|
663 | rx(i,j)=0. |
---|
664 | ENDIF |
---|
665 | ENDDO |
---|
666 | ENDDO |
---|
667 | ! |
---|
668 | DO j=1,L |
---|
669 | DO i=2,M |
---|
670 | ry(i,j) = ABS(h(i,j)-h(i-1,j))/(h(i,j)+h(i-1,j)) |
---|
671 | IF ((maskedtopo(i,j)*maskedtopo(i-1,j)) .EQ.0.) THEN |
---|
672 | ry(i,j)=0. |
---|
673 | ENDIF |
---|
674 | ENDDO |
---|
675 | ENDDO |
---|
676 | ! |
---|
677 | END SUBROUTINE rfact |
---|
678 | ! |
---|
679 | ! |
---|
680 | !**************************************************************** |
---|
681 | ! subroutine Update_Parent_Bathy * |
---|
682 | ! * |
---|
683 | ! (if desired) subroutine to update parent grid bathymetry * |
---|
684 | ! for consistency with fine grid bathymetry * |
---|
685 | ! * |
---|
686 | ! if a given coarse grid point is masked and one of the * |
---|
687 | ! child grid points contained in this coarse cell is not masked * |
---|
688 | ! the corresponding coarse grid point is unmasked with gdepw(4) * |
---|
689 | ! value * |
---|
690 | ! * |
---|
691 | ! - input : * |
---|
692 | ! G0,G1 : both grids involved * |
---|
693 | ! - ouput : * |
---|
694 | ! G0 parent grid containing updated bathymetry * |
---|
695 | !**************************************************************** |
---|
696 | ! |
---|
697 | ! |
---|
698 | SUBROUTINE Update_Parent_Bathy( G0,G1 ) |
---|
699 | ! |
---|
700 | IMPLICIT NONE |
---|
701 | |
---|
702 | TYPE(coordinates) :: G0,G1 |
---|
703 | INTEGER :: ji,jj,jk,ipt,jpt,diff,indx,indy,bornex,borney,bornex2,borney2 |
---|
704 | ! |
---|
705 | INTEGER :: ideb,jdeb,ifin,jfin |
---|
706 | REAL*8 :: za1,za0,zsur,zacr,zkth,zmin |
---|
707 | INTEGER :: i,j |
---|
708 | INTEGER :: k1 |
---|
709 | INTEGER :: compt |
---|
710 | REAL*8, POINTER, DIMENSION(:) :: gdepw,gdept,e3w,e3t |
---|
711 | ! |
---|
712 | IF ( ( pa0 == 0 .OR. pa1 == 0 .OR. psur == 0 ) & |
---|
713 | .AND. ppdzmin.NE.0 .AND. pphmax.NE.0 ) THEN |
---|
714 | ! |
---|
715 | za1=( ppdzmin - pphmax / (N-1) ) & |
---|
716 | / ( TANH((1-ppkth)/ppacr) - ppacr/(N-1) & |
---|
717 | * ( LOG( COSH( (N - ppkth) / ppacr) ) & |
---|
718 | - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
---|
719 | |
---|
720 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
---|
721 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
---|
722 | ! |
---|
723 | ELSE IF ( (ppdzmin == 0 .OR. pphmax == 0) .AND. psur.NE.0 .AND. & |
---|
724 | pa0.NE.0 .AND. pa1.NE.0 ) THEN |
---|
725 | ! |
---|
726 | zsur = psur |
---|
727 | za0 = pa0 |
---|
728 | za1 = pa1 |
---|
729 | ! |
---|
730 | ELSE |
---|
731 | ! |
---|
732 | WRITE(*,*) 'ERROR ***** bad vertical grid parameters ...' |
---|
733 | WRITE(*,*) ' ' |
---|
734 | WRITE(*,*) 'please check values of variables' |
---|
735 | WRITE(*,*) 'in namelist vertical_grid section' |
---|
736 | WRITE(*,*) ' ' |
---|
737 | STOP |
---|
738 | ! |
---|
739 | ENDIF |
---|
740 | |
---|
741 | zacr = ppacr |
---|
742 | zkth = ppkth |
---|
743 | |
---|
744 | ! |
---|
745 | ALLOCATE(gdepw(N),gdept(N),e3w(N),e3t(N)) |
---|
746 | ! |
---|
747 | DO i = 1,N |
---|
748 | ! |
---|
749 | gdepw(i) = (zsur+za0*i+za1*zacr*LOG(COSH((i-zkth)/zacr))) |
---|
750 | gdept(i) = (zsur+za0*(i+0.5)+za1*zacr*LOG(COSH(((i+0.5)-zkth)/zacr))) |
---|
751 | e3w(i) = (za0 + za1 * TANH((i-zkth)/zacr)) |
---|
752 | e3t(i) = (za0 + za1 * TANH(((i+0.5)-zkth)/zacr)) |
---|
753 | END DO |
---|
754 | ! |
---|
755 | zmin = gdepw(4) |
---|
756 | ! |
---|
757 | diff = 0 |
---|
758 | IF(MOD(rho,2) .EQ. 0) diff = 1 |
---|
759 | |
---|
760 | ideb = 3 + (irafx - 1)/2 |
---|
761 | jdeb = 3 + (irafy - 1)/2 |
---|
762 | |
---|
763 | jfin = nyfin - 2 - (irafy)/2 |
---|
764 | ifin = nxfin - 2 - (irafx)/2 |
---|
765 | ! |
---|
766 | WRITE(*,*) '---------------------------------' |
---|
767 | WRITE(*,*) 'Parent grid bathymetry update ...' |
---|
768 | compt = 0 |
---|
769 | ! |
---|
770 | DO jj = jdeb,jfin,irafy |
---|
771 | jpt = jmin + 3 - 1 + (jj - jdeb) / irafy |
---|
772 | DO ji = ideb,ifin,irafx |
---|
773 | ipt = imin + 3 - 1 + (ji - ideb) / irafx |
---|
774 | ! |
---|
775 | IF( G0%Bathy_meter(ipt,jpt) .LE. 0. .AND. & |
---|
776 | MAXVAL(G1%Bathy_meter(ji-irafx/2+diff:ji+irafx/2, & |
---|
777 | jj-irafy/2+diff:jj+irafy/2)).GT. 0. ) THEN |
---|
778 | G0%Bathy_meter(ipt,jpt) = zmin |
---|
779 | ! |
---|
780 | compt = compt + 1 |
---|
781 | ! |
---|
782 | ENDIF |
---|
783 | ! |
---|
784 | ENDDO |
---|
785 | ENDDO |
---|
786 | ! |
---|
787 | WRITE(*,*) ' Number of coarse grid points updated = ',compt |
---|
788 | WRITE(*,*) '---------------------------------' |
---|
789 | ! |
---|
790 | END SUBROUTINE Update_Parent_Bathy |
---|
791 | |
---|
792 | END MODULE agrif_connect_topo |
---|