-
Notifications
You must be signed in to change notification settings - Fork 0
/
clinic.F
1059 lines (1035 loc) · 30.9 KB
/
clinic.F
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
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
subroutine clinic (joff, js, je, is, ie)
c
c=======================================================================
c compute internal mode velocity components for rows js through je
c in the MW.
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c
c author: r.c.pacanowski e-mail rcp@gfdl.gov
c=======================================================================
c
#include "param.h"
parameter (istrt=2, iend=imt-1)
#include "coord.h"
#include "csbc.h"
#include "grdvar.h"
#include "hmixc.h"
#include "emode.h"
#include "levind.h"
#include "mw.h"
#include "scalar.h"
#include "switch.h"
#include "vmixc.h"
dimension tempik(imt,km,jsmw:jmw)
dimension baru(imt,jsmw:jemw,2)
#include "fdifm.h"
# ifdef timing
call tic ('ocean', 'clinic')
call tic ('clinic', 'misc')
# endif
c
c-----------------------------------------------------------------------
c limit the longitude indices based on those from the argument list
c Note: these are currently bypassed. istrt and iend are set as
c parameters to optimize performance
c-----------------------------------------------------------------------
c
c istrt = max(2,is)
c iend = min(imt-1,ie)
c
c
c-----------------------------------------------------------------------
c build coefficients to minimize advection and diffusion computation
c-----------------------------------------------------------------------
c
#ifdef biharmonic
do j=js,je+1
#else
do j=js,je
#endif
jrow = j + joff
do i=istrt-1,iend
rho0csudxur(i,j) = rho0r*csur(jrow)*dxur(i)
csudxu2r(i,j) = csur(jrow)*dxur(i)*p5
#ifdef consthmix
am_csudxtr(i,j) = am*csur(jrow)*dxtr(i+1)
#endif
enddo
enddo
c
c-----------------------------------------------------------------------
c construct the hydrostatic pressure gradients: 1 = dp/dx; 2 = dp/dy
c-----------------------------------------------------------------------
c
c compute horizontal pressure gradient at the first level
c
grav_rho0r = grav*rho0r
do j=js,je
jrow = j + joff
fxa = grav_rho0r*dzw(0)*csur(jrow)
fxb = grav_rho0r*dzw(0)*dyu2r(jrow)
do i=istrt-1,iend
t1 = rho(i+1,1,j+1) - rho(i ,1,j)
t2 = rho(i ,1,j+1) - rho(i+1,1,j)
grad_p(i,1,j,1) = (t1-t2)*fxa*dxu2r(i)
grad_p(i,1,j,2) = (t1+t2)*fxb
enddo
enddo
c
c compute the change in pressure gradient between levels
c
do j=js,je+1
do k=2,km
do i=istrt-1,iend+1
tempik(i,k,j) = rho(i,k-1,j) + rho(i,k,j)
enddo
enddo
enddo
c
do j=js,je
jrow = j + joff
fxa = grav_rho0r*csur(jrow)*p5
fxb = grav_rho0r*dyu4r(jrow)
do k=2,km
do i=istrt-1,iend
t1 = tempik(i+1,k,j+1) - tempik(i ,k,j)
t2 = tempik(i ,k,j+1) - tempik(i+1,k,j)
grad_p(i,k,j,1) = fxa*(t1-t2)*dzw(k-1)*dxu2r(i)
grad_p(i,k,j,2) = fxb*(t1+t2)*dzw(k-1)
enddo
enddo
enddo
c
c integrate downward from the first level
c
do j=js,je
do k=1,kmm1
do i=istrt-1,iend
grad_p(i,k+1,j,1) = grad_p(i,k,j,1) + grad_p(i,k+1,j,1)
grad_p(i,k+1,j,2) = grad_p(i,k,j,2) + grad_p(i,k+1,j,2)
enddo
enddo
enddo
c
do j=js,je
call setbcx (grad_p(1,1,j,1), imt, km)
call setbcx (grad_p(1,1,j,2), imt, km)
enddo
c
c-----------------------------------------------------------------------
c solve for one component of velocity at a time
c n = 1 => zonal component
c n = 2 => meridional component
c-----------------------------------------------------------------------
c
do n=1,2
c
#if !defined linearized_advection
c
c-----------------------------------------------------------------------
c calculate 2*advective flux (for speed) across east face of
c "u" cells.
c-----------------------------------------------------------------------
c
do j=js,je
do k=1,km
do i=istrt-1,iend
adv_fe(i,k,j) = adv_veu(i,k,j)*(u(i, k,j,n,tau) +
& u(i+1,k,j,n,tau))
enddo
enddo
enddo
c
c-----------------------------------------------------------------------
c 2*advective flux across northern face of "u" cells is built
c into ADV_Uy. (It's done this way for performance issues)
c-----------------------------------------------------------------------
c
c
c-----------------------------------------------------------------------
c diffusive flux across east face of "u" cell
c diffusive flux across north face of "u" cell
c-----------------------------------------------------------------------
c
# if defined consthmix && !defined biharmonic
c
c build diffusive flux on eastern face of "u" cells
c
do j=js,je
do k=1,km
do i=istrt-1,iend
diff_fe(i,k,j) = am_csudxtr(i,j)*
& (u(i+1,k,j,n,taum1) - u(i,k,j,n,taum1))
enddo
enddo
enddo
c
c diffusive flux on northern face of "u" cells is built
c into DIFF_Uy
c
# endif
#endif
#if defined consthmix && defined biharmonic
c
c calculate diffusive flux on eastern and northern faces of
c "u" cells
c
call delsqu (joff, js, je+1, istrt, iend, n)
#endif
#ifdef smagnlmix
c
c calculate diffusive flux on eastern and northern faces of
c "u" cells
c
call smagnlm (joff, js, je, istrt, iend, n)
#endif
c
#ifdef free_slip
c
c no viscous transfer of tangential stress to boundary
c
do j=js,je
do k=1,km
do i=istrt-1,iend
diff_fe(i,k,j) = diff_fe(i,k,j)*
& (umask(i,k,j)*(c1-umask(i,k,j-1)) + umask(i,k,j-1))
enddo
enddo
enddo
# if !defined consthmix || defined biharmonic
do j=js-1,je
do k=1,km
do i=istrt-1,iend
diff_fn(i,k,j) = diff_fn(i,k,j)*
& (umask(i,k,j)*(c1-umask(i-1,k,j)) + umask(i-1,k,j))
enddo
enddo
enddo
# endif
#endif
c
#if !defined linearized_advection
c
c-----------------------------------------------------------------------
c calculate 2*advective flux (for speed) on bottom face of
c "u" cell. also diffusive flux on bottom face of "u" cell
c-----------------------------------------------------------------------
c
do j=js,je
do k=1,kmm1
do i=istrt,iend
adv_fb(i,k,j) = adv_vbu(i,k,j)*(u(i,k, j,n,tau) +
& u(i,k+1,j,n,tau))
# if defined constvmix
diff_fb(i,k,j) = kappa_m_dzwr(k)*
& (u(i,k,j,n,taum1) - u(i,k+1,j,n,taum1))
# else
diff_fb(i,k,j) = visc_cbu(i,k,j)*dzwr(k)*
& (u(i,k,j,n,taum1) - u(i,k+1,j,n,taum1))
# endif
enddo
enddo
enddo
#endif
c
c-----------------------------------------------------------------------
c set surface and bottom vert b.c. on "u" cells for mixing
c set surface and bottom vert b.c. on "u" cells for advection
c-----------------------------------------------------------------------
c
do j=js,je
jrow = j + joff
do i=istrt,iend
kb = kmu(i,jrow)
diff_fb(i,0,j) = smf(i,j,n)
diff_fb(i,kb,j) = bmf(i,j,n)
adv_fb(i,0,j) = adv_vbu(i,0,j)*(u(i,1,j,n,tau) +
& u(i,1,j,n,tau))
adv_fb(i,km,j) = c0
enddo
enddo
c
#ifdef source_term
c
c-----------------------------------------------------------------------
c set source term for "u" cell
c-----------------------------------------------------------------------
c
do j=js,je
do k=1,km
do i=istrt,iend
source(i,k,j) = c0
enddo
enddo
enddo
#endif
c
c-----------------------------------------------------------------------
c solve for the internal mode part of du/dt at center of
c "u" cells by neglecting the surface pressure gradients. use
c statement functions to represent each component of the
c calculation.
c-----------------------------------------------------------------------
c
do j=js,je
jrow = j + joff
do k=1,km
do i=istrt,iend
u(i,k,j,n,taup1) =
& (DIFF_Ux(i,k,j) + DIFF_Uy(i,k,j) + DIFF_Uz(i,k,j)
& + DIFF_metric(i,k,j,n)
#if !defined linearized_advection
& - ADV_Ux(i,k,j) - ADV_Uy(i,k,j) - ADV_Uz(i,k,j)
& + ADV_metric(i,k,j,n)
#endif
& - grad_p(i,k,j,n) + CORIOLIS(i,k,j,n)
#ifdef source_term
& + source(i,k,j)
#endif
& )*umask(i,k,j)
enddo
enddo
enddo
#ifdef implicitvmix
c
c-----------------------------------------------------------------------
c add in du/dt component due to implicit vertical diffusion
c-----------------------------------------------------------------------
c
call ivdifu (joff, js, je, istrt, iend, n)
#endif
c
c-----------------------------------------------------------------------
c construct diagnostics associated with velocity component "n"
c-----------------------------------------------------------------------
c
call diagc1 (joff, js, je, istrt, iend, n)
c
c-----------------------------------------------------------------------
c construct the vertical average of du/dt for forcing
c the barotropic equation
c-----------------------------------------------------------------------
c
do j=js,je
jrow = j + joff
do i=istrt,iend
zu(i,jrow,n) = c0
enddo
enddo
do j=js,je
jrow = j + joff
do k=1,km
fx = dzt(k)
do i=istrt,iend
zu(i,jrow,n) = zu(i,jrow,n) + u(i,k,j,n,taup1)*fx
enddo
enddo
enddo
c
do j=js,je
jrow = j + joff
do i=istrt,iend
zu(i,jrow,n) = zu(i,jrow,n)*hr(i,jrow)
enddo
enddo
#ifdef symmetry
do j=js,je
jrow = j + joff
if (jrow .eq. jmtm1 .and. n .eq. 2) then
do i=istrt,iend
zu(i,jrow,2) = c0
zu(i,jrow+1,2) = -zu(i,jrow-1,2)
zu(i,jrow+1,1) = zu(i,jrow-1,1)
enddo
endif
enddo
#endif
c
c-----------------------------------------------------------------------
c end of velocity component "n" loop
c-----------------------------------------------------------------------
c
enddo
c
c-----------------------------------------------------------------------
c compute "tau+1" velocities accounting for implicit part of the
c coriolis term if treated implicitly. velocities are in error by an
c arbitrary constant related to neglecting the unknown surface
c pressure gradients
c-----------------------------------------------------------------------
c
if (acor .ne. c0) then
do j=js,je
jrow = j + joff
fx = c2dtuv*acor*c2*omega*sine(jrow)
detmr = c1/(c1 + fx*fx)
do k=1,km
do i=istrt,iend
t1 = (u(i,k,j,1,taup1) + fx*u(i,k,j,2,taup1))*detmr
t2 = (u(i,k,j,2,taup1) - fx*u(i,k,j,1,taup1))*detmr
u(i,k,j,1,taup1) = u(i,k,j,1,taum1) + c2dtuv*t1
u(i,k,j,2,taup1) = u(i,k,j,2,taum1) + c2dtuv*t2
enddo
enddo
enddo
else
do n=1,2
do j=js,je
do k=1,km
do i=istrt,iend
u(i,k,j,n,taup1) = u(i,k,j,n,taum1)
& + c2dtuv*u(i,k,j,n,taup1)
enddo
enddo
enddo
enddo
endif
c
c-----------------------------------------------------------------------
c subtract incorrect vertical means (related to ignoring horizontal
c gradients of the surface pressure) to get pure internal modes.
c-----------------------------------------------------------------------
c
do n=1,2
do j=js,je
do i=istrt,iend
baru(i,j,n) = c0
enddo
enddo
do j=js,je
do k=1,km
do i=istrt,iend
baru(i,j,n) = baru(i,j,n) + u(i,k,j,n,taup1)*dzt(k)
enddo
enddo
enddo
do j=js,je
jrow = j + joff
do i=istrt,iend
baru(i,j,n) = baru(i,j,n)*hr(i,jrow)
enddo
enddo
do j=js,je
do k=1,km
do i=istrt,iend
u(i,k,j,n,taup1) = u(i,k,j,n,taup1)
& - umask(i,k,j)*baru(i,j,n)
enddo
enddo
call setbcx (u(1,1,j,n,taup1), imt, km)
enddo
enddo
c
c-----------------------------------------------------------------------
c construct diagnostics involving internal mode velocity at "tau+1"
c-----------------------------------------------------------------------
c
call diagc2 (joff, js, je, is, ie)
c
#if defined fourfil || defined firfil
c
c-----------------------------------------------------------------------
c filter velocity components at high latitudes
c-----------------------------------------------------------------------
c
if (istrt .eq. 2 .and. iend .eq. imt-1) then
call filuv (joff, js, je)
else
write (stdout,'(a)')
& 'Error: filtering requires is=2 and ie=imt-1 in clinic'
stop '=>clinic'
endif
#endif
do j=js,je
call setbcx (u(1,1,j,1,taup1), imt, km)
call setbcx (u(1,1,j,2,taup1), imt, km)
enddo
c
#if !defined simple_sbc
c
c-----------------------------------------------------------------------
c if needed, construct the Atmos S.B.C.(surface boundary conditions)
c averaged over this segment
c reference: Pacanowski, R.C., Effect of Equatorial Currents
c on Surface Stress (JPO, Vol 17, No. 6, June 1987)
c-----------------------------------------------------------------------
c
iu = mapsbc(8)
iv = mapsbc(9)
if (iu .ne. 0 .and. iv .ne. 0) then
call asbcu (joff, js, je, istrt, iend, iu, iv)
endif
#endif
c
#ifdef trace_indices
write (stdout,'(2x,5(a,i4))')
& "=> In clinic: js=",js," je=",je," joff=",joff
&," jrows=",js+joff," to ",je+joff
#endif
#ifdef timing
call toc ('clinic', 'misc')
call toc ('ocean', 'clinic')
#endif
return
end
subroutine diagc1 (joff, js, je, is, ie, n)
c
c-----------------------------------------------------------------------
c construct diagnostics which don`t require internal mode velocity
c at "tau+1" for each velocity component "n"
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c n = (1,2) = (u,v) velocity component
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
#include "param.h"
#include "coord.h"
#include "diag.h"
#include "diaga.h"
#include "grdvar.h"
#include "hmixc.h"
#include "mw.h"
#include "scalar.h"
#include "switch.h"
dimension temp(imt,km)
c
#ifdef timing
if (n .eq. 1) then
call tic ('clinic', 'diagnostics')
else
call ticr ('clinic', 'diagnostics')
endif
#endif
c
#if defined save_mixing_coeff
c
c-----------------------------------------------------------------------
c diagnostic: estimate mixing coefficients on east, north, and
c bottom face of U cells from the flux
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
if (cmixts .and. n .eq. 1 .and. eots) then
# ifdef timing
call tic ('diagnostic', 'mixing coeff')
# endif
do j=js,je
jrow = j + joff
do k=1,km
do i=2,imt-1
dudx = (u(i+1,k,j,1,taum1)-u(i,k,j,1,taum1))
& *csur(jrow)*dxtr(i+1) + epsln
ce(i,k,j,1) = diff_fe(i,k,j)/dudx
dudy = (u(i,k,j+1,1,taum1)-u(i,k,j,1,taum1))
& *dytr(jrow+1) + epsln
# if !defined consthmix || defined biharmonic || defined isopycmix
cn(i,k,j,1) = diff_fn(i,k,j)/dudy
# else
cn(i,k,j,1) = am
# endif
enddo
enddo
enddo
do j=js,je
jrow = j + joff
do k=1,km-1
do i=2,imt-1
dudz = (u(i,k,j,1,taum1)-u(i,k+1,j,1,taum1))
& *dzwr(k) + epsln
cb(i,k,j,1) = diff_fb(i,k,j)/dudz
enddo
enddo
do i=2,imt-1
cb(i,km,j,1) = 0.0
enddo
enddo
c
do j=js,je
call setbcx (ce(1,1,j,1), imt, km)
call setbcx (cn(1,1,j,1), imt, km)
call setbcx (cb(1,1,j,1), imt, km)
enddo
# ifdef timing
call toc ('diagnostic', 'mixing coeff')
# endif
endif
#endif
c
#ifdef time_step_monitor
c
c-----------------------------------------------------------------------
c diagnostic: accumulate global kinetic energy on "tau" velocity
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c (based on diagnostic by M. Cox)
c-----------------------------------------------------------------------
c
if (tsits .and. eots) then
# ifdef timing
call tic ('diagnostic', 'time step monitor')
# endif
do j=js,je
jrow = j + joff
fx = rho0*p5*csu(jrow)*dyu(jrow)
# ifdef symmetry
if (jrow .eq. jmtm1) fx = fx*p5
# endif
do k=1,km
do i=is,ie
weight = fx*dzt(k)*dxu(i)
temp(i,k) = u(i,k,j,n,tau)**2*weight
enddo
do i=is,ie
ektot(k,jrow) = ektot(k,jrow) + temp(i,k)
enddo
enddo
enddo
# ifdef timing
call toc ('diagnostic', 'time step monitor')
# endif
endif
#endif
c
#ifdef energy_analysis
c
c-----------------------------------------------------------------------
c diagnostic: integrate work done by the r.h.s. terms in the
c momentum equations.
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c (this is not done the same way as in MOM 1)
c-----------------------------------------------------------------------
c
if (glents .and. eots) call ge1 (joff, js, je, is, ie, n)
#endif
c
#ifdef term_balances
c
c-----------------------------------------------------------------------
c diagnostic: integrate r.h.s. terms in the momentum equations
c over specified regional volumes
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
if (trmbts .and. eots) call utb1 (joff, js, je, is, ie, n)
#endif
#ifdef xbts
c
c-----------------------------------------------------------------------
c diagnostic: accumulate r.h.s terms in the momentum equation
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
if (eots) call uxbt1 (joff, js, je, n)
#endif
#ifdef timing
call toc ('clinic', 'diagnostics')
#endif
return
end
subroutine diagc2 (joff, js, je, is, ie)
c
c-----------------------------------------------------------------------
c construct diagnostics requiring internal mode velocity at "tau+1"
c and those not dependent on velocity component fluxes.
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c
c author: r.c.pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
#include "param.h"
#include "levind.h"
#include "scalar.h"
#include "switch.h"
c
#ifdef timing
call ticr ('clinic', 'diagnostics')
#endif
#ifdef energy_analysis
c
c-----------------------------------------------------------------------
c diagnostic: integrate work done by du/dt in the momentum equations
c the external mode part of "u" at "tau+1" will be
c accounted for after the external mode is solved.
c also, integrate the work done by buoyancy.
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c (this is not done the same way as in MOM 1)
c-----------------------------------------------------------------------
c
if (glents .and. eots) then
call ge2 (joff, js, je, is, ie, kmt, kmu, c2dtuv, grav, rho0r)
endif
#endif
c
#ifdef term_balances
c
c-----------------------------------------------------------------------
c diagnostic: add du/dt and implicit coriolis terms to the integrals
c over specified volumes. the external mode parts will
c be accounted for after the external mode is solved.
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
if (trmbts .and. eots) then
call utb2 (joff, js, je, is, ie, c2dtuv, acor)
endif
#endif
c
#ifdef xbts
c
c-----------------------------------------------------------------------
c diagnostic: accumulate du/dt and implicit coriolis terms from the
c momentum equations
c
c author: R. C. Pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
if (eots) call uxbt2 (joff, js, je, c2dtuv, acor)
#endif
#ifdef timing
call toc ('clinic', 'diagnostics')
#endif
return
end
#if !defined simple_sbc
subroutine asbcu (joff, js, je, is, ie, iu, iv)
c
c-----------------------------------------------------------------------
c construct the Atmos S.B.C.(surface boundary conditions)
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c iu = index for u component
c iv = index for v component
c
c reference: Pacanowski, R.C., Effect of Equatorial Currents
c on Surface Stress (JPO, Vol 17, No. 6, June 1987)
c author: r.c.pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
# include "param.h"
# include "csbc.h"
# include "levind.h"
# include "mw.h"
# include "scalar.h"
# include "switch.h"
# ifdef timing
call tic ('clinic', 'constructing SBC')
# endif
c
c initialize S.B.C. at the beginning of each ocean segment
c (do not alter values in land)
c
if (eots .and. osegs .and. iu .ne. 0 .and. iv .ne. 0) then
do j=js,je
jrow = j + joff
do i=is,ie
if (kmt(i,jrow) .ne. 0) then
sbcocn(i,jrow,iu) = c0
sbcocn(i,jrow,iv) = c0
endif
enddo
enddo
endif
c
c accumulate surface currents for the Atmos S.B.C. every time step
c
if (eots .and. iu .ne. 0 .and. iv .ne. 0) then
do j=js,je
jrow = j + joff
do i=is,ie
sbcocn(i,jrow,iu) = sbcocn(i,jrow,iu) + p25*(
& u(i,1,j,1,tau) + u(i-1,1,j,1,tau)
& + u(i,1,j-1,1,tau) + u(i-1,1,j-1,1,tau))
sbcocn(i,jrow,iv) = sbcocn(i,jrow,iv) + p25*(
& u(i,1,j,2,tau) + u(i-1,1,j,2,tau)
& + u(i,1,j-1,2,tau) + u(i-1,1,j-1,2,tau))
enddo
enddo
endif
c
c average the surface currents for the Atmos S.B.C. at the end
c of each ocean segment. (do not alter values in land)
c
if (eots .and. osege .and. iu .ne. 0 .and. iv .ne. 0) then
rts = c1/ntspos
do j=js,je
jrow = j + joff
do i=is,ie
if (kmt(i,jrow) .ne. 0) then
sbcocn(i,jrow,iu) = rts*sbcocn(i,jrow,iu)
sbcocn(i,jrow,iv) = rts*sbcocn(i,jrow,iv)
endif
enddo
enddo
endif
# ifdef timing
call toc ('clinic', 'constructing SBC')
# endif
return
end
#endif
#ifdef implicitvmix
subroutine ivdifu (joff, js, je, is, ie, n)
c
c-----------------------------------------------------------------------
c solve vertical diffusion of velocity implicitly
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c n = velocity component
c twodt = (2*dtuv, dtuv) on (leapfrog, mixing) time steps
c
c author: r.c.pacanowski e-mail rcp@gfdl.gov
c-----------------------------------------------------------------------
c
# include "size.h"
# include "levind.h"
# include "mw.h"
# include "scalar.h"
# include "switch.h"
# include "vmixc.h"
dimension twodt_rho0r(km)
c
# ifdef timing
call tic ('clinic', 'implicit vert diff')
# endif
c
c set some constants
c
c1 = 1.0
c
c construct the "tau+1" velocity without implicit vertical diffusion
c
do j=js,je
do k=1,km
do i=is,ie
u(i,k,j,n,taup1) = u(i,k,j,n,taum1)+c2dtuv*u(i,k,j,n,taup1)
enddo
enddo
enddo
c
c store terms to compute implicit vertical diffusion on
c diagnostic time steps
c
# ifdef xbts
if (eots) then
# else
if ((glents .or. trmbts) .and. eots) then
# endif
do j=js,je
do k=1,km
do i=is,ie
zzi(i,k,j) = u(i,k,j,n,taup1)
enddo
enddo
enddo
endif
c
c add in the implicit vertical diffusion
c
do k=1,km
twodt_rho0r(k) = c2dtuv*rho0r
enddo
# if !defined constvmix
# ifdef tcvmix
call invtri (up1(1,1,1,n), smf(1,jsmw,n), bmf(1,jsmw,n), vvca(???)
&, twodt_rho0r, kmu, umask(1,1,1), is, ie, joff, js, je)
if (imt-1 .gt. 1) then
print *,'Error: ivdif.F is not converted for ifvef tvcmi x'
stop '=>ivdif'
endif
# else
call invtri (u(1,1,1,n,taup1), smf(1,jsmw,n), bmf(1,jsmw,n)
&, visc_cbu(1,1,jsmw), twodt_rho0r, kmu, umask(1,1,1), is, ie
&, joff, js, je)
# endif
# endif
c
c compute residual implicit vertical diffusion
c
r2dtuv = c1/c2dtuv
# ifdef xbts
if (eots) then
# else
if ((glents .or. trmbts) .and. eots) then
# endif
do j=js,je
do k=1,km
do i=is,ie
zzi(i,k,j) = r2dtuv*(u(i,k,j,n,taup1) - zzi(i,k,j))
enddo
enddo
enddo
endif
c
c convert back to time change of velocity
c
do j=js,je
do k=1,km
do i=is,ie
u(i,k,j,n,taup1) =r2dtuv*(u(i,k,j,n,taup1)-u(i,k,j,n,taum1))
enddo
enddo
enddo
# ifdef timing
call toc ('clinic', 'implicit vert diff')
# endif
return
end
#endif
#ifdef biharmonic
subroutine delsqu (joff, js, je, is, ie, n)
c
c=======================================================================
c compute del**2 of prognostic variables on MW rows "js" ... "je"
c and gradients of del**2 quantities for variable "n" in the
c momentum equation
c
c input:
c joff = offset relating "j" in the MW to latitude "jrow"
c js = starting row in the MW
c je = ending row in the MW
c is = starting longitude index in the MW
c ie = ending longitude index in the MW
c n = (1,2) = (u,v) velocity component
c
c author: r.c.pacanowski e-mail rcp@gfdl.gov
c=======================================================================
c
#include "param.h"
#include "grdvar.h"
#include "hmixc.h"
#include "mw.h"
#include "fdifm.h"
c
# ifdef timing
call tic ('clinic', 'biharmonic mixing')
# endif
c
c set -del**2 = 0 on southern wall
c
j = js
jrow = j + joff
if (jrow .eq. 2) then
do k=1,km
do i=is-1,ie+1
del2(i,k,j-1,n) = c0
enddo
enddo
endif
c
c set -del**2 = 0 on northern wall
c
j = je
jrow = j + joff
if (jrow .eq. jmt-1) then
do k=1,km
do i=is-1,ie+1
del2(i,k,j+1,n) = c0
enddo
enddo
endif
c
c-----------------------------------------------------------------------
c diffusive flux across east face of "u" cell
c diffusive flux across north face of "u" cell
c-----------------------------------------------------------------------
c
do j=js,je
do k=1,km
jrow = j + joff
ambi_csur = visc_ceu*csur(jrow)
do i=is-1,ie
diff_fe(i,k,j) = ambi_csur*dxtr(i+1)*
& (u(i+1,k,j,n,taum1) - u(i,k,j,n,taum1))
enddo
enddo
enddo