-
Notifications
You must be signed in to change notification settings - Fork 120
/
parcels.h
1283 lines (1181 loc) · 55.2 KB
/
parcels.h
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
#ifndef _PARCELS_H
#define _PARCELS_H
#ifdef __cplusplus
extern "C" {
#endif
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#include <math.h>
#include <float.h>
#include "random.h"
#include "index_search.h"
#include "interpolation_utils.h"
#define min(X, Y) (((X) < (Y)) ? (X) : (Y))
#define max(X, Y) (((X) > (Y)) ? (X) : (Y))
typedef struct
{
int xdim, ydim, zdim, tdim, igrid, allow_time_extrapolation, time_periodic;
float ****data_chunks;
CGrid *grid;
} CField;
/* Bilinear interpolation routine for 2D grid */
static inline StatusCode spatial_interpolation_bilinear(double xsi, double eta, float data[2][2], float *value)
{
*value = (1-xsi)*(1-eta) * data[0][0]
+ xsi *(1-eta) * data[0][1]
+ xsi * eta * data[1][1]
+ (1-xsi)* eta * data[1][0];
return SUCCESS;
}
/* Bilinear interpolation routine for 2D grid for tracers with squared inverse distance weighting near land*/
static inline StatusCode spatial_interpolation_bilinear_invdist_land(double xsi, double eta, float data[2][2], float *value)
{
int i, j, k, l, nb_land = 0, land[2][2] = {{0}};
float w_sum = 0.;
// count the number of surrounding land points (assume land is where the value is close to zero)
for (i = 0; i < 2; i++) {
for (j = 0; j < 2; j++) {
if (is_zero_flt(data[i][j])) {
land[i][j] = 1;
nb_land++;
}
else {
// record the coordinates of the last non-land point
// (for the case where this is the only location with valid data)
k = i;
l = j;
}
}
}
switch (nb_land) {
case 0: // no land, use usual routine
return spatial_interpolation_bilinear(xsi, eta, data, value);
case 3: // single non-land point
*value = data[k][l];
return SUCCESS;
case 4: // only land
*value = 0.;
return SUCCESS;
default:
break;
}
// interpolate with 1 or 2 land points
*value = 0.;
for (i = 0; i < 2; i++) {
for (j = 0; j < 2; j++) {
float distance = pow((xsi - j), 2) + pow((eta - i), 2);
if (is_zero_flt(distance)) {
if (land[i][j] == 1) { // index search led us directly onto land
*value = 0.;
return SUCCESS;
}
else {
*value = data[i][j];
return SUCCESS;
}
}
else if (land[i][j] == 0) {
*value += data[i][j] / distance;
w_sum += 1 / distance;
}
}
}
*value /= w_sum;
return SUCCESS;
}
/* Trilinear interpolation routine for 3D grid */
static inline StatusCode spatial_interpolation_trilinear(double xsi, double eta, double zeta,
float data[2][2][2], float *value)
{
float f0, f1;
f0 = (1-xsi)*(1-eta) * data[0][0][0]
+ xsi *(1-eta) * data[0][0][1]
+ xsi * eta * data[0][1][1]
+ (1-xsi)* eta * data[0][1][0];
f1 = (1-xsi)*(1-eta) * data[1][0][0]
+ xsi *(1-eta) * data[1][0][1]
+ xsi * eta * data[1][1][1]
+ (1-xsi)* eta * data[1][1][0];
*value = (1-zeta) * f0 + zeta * f1;
return SUCCESS;
}
/* Trilinear interpolation routine for MOM surface 3D grid */
static inline StatusCode spatial_interpolation_trilinear_surface(double xsi, double eta, double zeta,
float data[2][2][2], float *value)
{
float f1;
f1 = (1-xsi)*(1-eta) * data[0][0][0]
+ xsi *(1-eta) * data[0][0][1]
+ xsi * eta * data[0][1][1]
+ (1-xsi)* eta * data[0][1][0];
*value = zeta * f1;
return SUCCESS;
}
static inline StatusCode spatial_interpolation_trilinear_bottom(double xsi, double eta, double zeta,
float data[2][2][2], float *value)
{
float f1;
f1 = (1-xsi)*(1-eta) * data[1][0][0]
+ xsi *(1-eta) * data[1][0][1]
+ xsi * eta * data[1][1][1]
+ (1-xsi)* eta * data[1][1][0];
*value = (1 - zeta) * f1;
return SUCCESS;
}
/* Trilinear interpolation routine for 3D grid for tracers with squared inverse distance weighting near land*/
static inline StatusCode spatial_interpolation_trilinear_invdist_land(double xsi, double eta, double zeta, float data[2][2][2], float *value)
{
int i, j, k, l, m, n, nb_land = 0, land[2][2][2] = {{{0}}};
float w_sum = 0.;
// count the number of surrounding land points (assume land is where the value is close to zero)
for (i = 0; i < 2; i++) {
for (j = 0; j < 2; j++) {
for (k = 0; k < 2; k++) {
if(is_zero_flt(data[i][j][k])) {
land[i][j][k] = 1;
nb_land++;
}
else {
// record the coordinates of the last non-land point
// (for the case where this is the only location with valid data)
l = i;
m = j;
n = k;
}
}
}
}
switch (nb_land) {
case 0: // no land, use usual routine
return spatial_interpolation_trilinear(xsi, eta, zeta, data, value);
case 7: // single non-land point
*value = data[l][m][n];
return SUCCESS;
case 8: // only land
*value = 0.;
return SUCCESS;
default:
break;
}
// interpolate with 1 to 6 land points
*value = 0.;
for (i = 0; i < 2; i++) {
for (j = 0; j < 2; j++) {
for (k = 0; k < 2; k++) {
float distance = pow((zeta - i), 2) + pow((eta - j), 2) + pow((xsi - k), 2);
if (is_zero_flt(distance)) {
if (land[i][j][k] == 1) {
// index search led us directly onto land
*value = 0.;
return SUCCESS;
} else {
*value = data[i][j][k];
return SUCCESS;
}
}
else if (land[i][j][k] == 0) {
*value += data[i][j][k] / distance;
w_sum += 1 / distance;
}
}
}
}
*value /= w_sum;
return SUCCESS;
}
/* Nearest neighbour interpolation routine for 2D grid */
static inline StatusCode spatial_interpolation_nearest2D(double xsi, double eta,
float data[2][2], float *value)
{
/* Cast data array into data[lat][lon] as per NEMO convention */
int i, j;
if (xsi < .5) {i = 0;} else {i = 1;}
if (eta < .5) {j = 0;} else {j = 1;}
*value = data[j][i];
return SUCCESS;
}
/* C grid interpolation routine for tracers on 2D grid */
static inline StatusCode spatial_interpolation_tracer_bc_grid_2D(double _xsi, double _eta,
float data[2][2], float *value)
{
*value = data[1][1];
return SUCCESS;
}
/* C grid interpolation routine for tracers on 3D grid */
static inline StatusCode spatial_interpolation_tracer_bc_grid_3D(double _xsi, double _eta, double _zeta,
float data[2][2][2], float *value)
{
*value = data[0][1][1];
return SUCCESS;
}
static inline StatusCode spatial_interpolation_tracer_bc_grid_bottom(double _xsi, double _eta, double _zeta,
float data[2][2][2], float *value)
{
*value = data[1][1][1];
return SUCCESS;
}
/* Nearest neighbour interpolation routine for 3D grid */
static inline StatusCode spatial_interpolation_nearest3D(double xsi, double eta, double zeta,
float data[2][2][2], float *value)
{
int i, j, k;
if (xsi < .5) {i = 0;} else {i = 1;}
if (eta < .5) {j = 0;} else {j = 1;}
if (zeta < .5) {k = 0;} else {k = 1;}
*value = data[k][j][i];
return SUCCESS;
}
static inline int getBlock2D(int *chunk_info, int yi, int xi, int *block, int *index_local)
{
int ndim = chunk_info[0];
if (ndim != 2)
exit(-1);
int i, j;
int shape[ndim];
int index[2] = {yi, xi};
for(i=0; i<ndim; ++i){
int chunk_sum = 0, shift = 0;
for (j = 0; j < i; j++) shift += chunk_info[1+j];
shape[i] = chunk_info[1+i];
for (j=0; j<shape[i]; j++) {
chunk_sum += chunk_info[1+ndim+shift+j];
if (index[i] < chunk_sum) {
chunk_sum -= chunk_info[1+ndim+shift+j];
break;
}
}
block[i] = j;
index_local[i] = index[i] - chunk_sum;
}
int bid = block[0]*shape[1] +
block[1];
return bid;
}
static inline StatusCode getCell2D(CField *f, int xi, int yi, int ti, float cell_data[2][2][2], int first_tstep_only)
{
CStructuredGrid *grid = f->grid->grid;
int *chunk_info = grid->chunk_info;
int ndim = chunk_info[0];
int block[ndim];
int ilocal[ndim];
int tii, yii, xii;
int blockid = getBlock2D(chunk_info, yi, xi, block, ilocal);
if (grid->load_chunk[blockid] < 2){
grid->load_chunk[blockid] = 1;
return REPEAT;
}
grid->load_chunk[blockid] = 2;
int zdim = 1;
int ydim = chunk_info[1+ndim+block[0]];
int yshift = chunk_info[1];
int xdim = chunk_info[1+ndim+yshift+block[1]];
if (((ilocal[0] == ydim-1) && (ydim > 1)) || ((ilocal[1] == xdim-1) && (xdim > 1)))
{
// Cell is on multiple chunks
for (tii=0; tii<2; ++tii){
for (yii=0; yii<2; ++yii){
for (xii=0; xii<2; ++xii){
blockid = getBlock2D(chunk_info, yi+yii, xi+xii, block, ilocal);
if (grid->load_chunk[blockid] < 2){
grid->load_chunk[blockid] = 1;
return REPEAT;
}
grid->load_chunk[blockid] = 2;
zdim = 1;
ydim = chunk_info[1+ndim+block[0]];
yshift = chunk_info[1];
xdim = chunk_info[1+ndim+yshift+block[1]];
float (*data_block)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) f->data_chunks[blockid];
float (*data)[xdim] = (float (*)[xdim]) (data_block[ti+tii]);
cell_data[tii][yii][xii] = data[ilocal[0]][ilocal[1]];
}
}
if (first_tstep_only == 1)
break;
}
}
else
{
float (*data_block)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) f->data_chunks[blockid];
for (tii=0; tii<2; ++tii){
float (*data)[xdim] = (float (*)[xdim]) (data_block[ti+tii]);
int xiid = ((xdim==1) ? 0 : 1);
int yiid = ((ydim==1) ? 0 : 1);
for (yii=0; yii<2; yii++)
for (xii=0; xii<2; xii++)
cell_data[tii][yii][xii] = data[ilocal[0]+(yii*yiid)][ilocal[1]+(xii*xiid)];
if (first_tstep_only == 1)
break;
}
}
return SUCCESS;
}
static inline int getBlock3D(int *chunk_info, int zi, int yi, int xi, int *block, int *index_local)
{
int ndim = chunk_info[0];
if (ndim != 3)
exit(-1);
int i, j;
int shape[ndim];
int index[3] = {zi, yi, xi};
for(i=0; i<ndim; ++i){
int chunk_sum = 0, shift = 0;
for (j = 0; j < i; j++) shift += chunk_info[1+j];
shape[i] = chunk_info[1+i];
for (j=0; j<shape[i]; j++) {
chunk_sum += chunk_info[1+ndim+shift+j];
if (index[i] < chunk_sum) {
chunk_sum -= chunk_info[1+ndim+shift+j];
break;
}
}
block[i] = j;
index_local[i] = index[i] - chunk_sum;
}
int bid = block[0]*shape[1]*shape[2] +
block[1]*shape[2] +
block[2];
return bid;
}
static inline StatusCode getCell3D(CField *f, int xi, int yi, int zi, int ti, float cell_data[2][2][2][2], int first_tstep_only)
{
CStructuredGrid *grid = f->grid->grid;
int *chunk_info = grid->chunk_info;
int ndim = chunk_info[0];
int block[ndim];
int ilocal[ndim];
int tii, zii, yii, xii;
int blockid = getBlock3D(chunk_info, zi, yi, xi, block, ilocal);
if (grid->load_chunk[blockid] < 2){
grid->load_chunk[blockid] = 1;
return REPEAT;
}
grid->load_chunk[blockid] = 2;
int zdim = chunk_info[1+ndim+block[0]];
int zshift = chunk_info[1];
int ydim = chunk_info[1+ndim+zshift+block[1]];
int yshift = chunk_info[1+1];
int xdim = chunk_info[1+ndim+zshift+yshift+block[2]];
if (((ilocal[0] == zdim-1) && zdim > 1) || ((ilocal[1] == ydim-1) && ydim > 1) || ((ilocal[2] == xdim-1) && xdim >1))
{
// Cell is on multiple chunks\n
for (tii=0; tii<2; ++tii){
for (zii=0; zii<2; ++zii){
for (yii=0; yii<2; ++yii){
for (xii=0; xii<2; ++xii){
blockid = getBlock3D(chunk_info, zi+zii, yi+yii, xi+xii, block, ilocal);
if (grid->load_chunk[blockid] < 2){
grid->load_chunk[blockid] = 1;
return REPEAT;
}
grid->load_chunk[blockid] = 2;
zdim = chunk_info[1+ndim+block[0]];
zshift = chunk_info[1];
ydim = chunk_info[1+ndim+zshift+block[1]];
yshift = chunk_info[1+1];
xdim = chunk_info[1+ndim+zshift+yshift+block[2]];
float (*data_block)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) f->data_chunks[blockid];
float (*data)[ydim][xdim] = (float (*)[ydim][xdim]) (data_block[ti+tii]);
cell_data[tii][zii][yii][xii] = data[ilocal[0]][ilocal[1]][ilocal[2]];
}
}
}
if (first_tstep_only == 1)
break;
}
}
else
{
float (*data_block)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) f->data_chunks[blockid];
for (tii=0; tii<2; ++tii){
float (*data)[ydim][xdim] = (float (*)[ydim][xdim]) (data_block[ti+tii]);
int xiid = ((xdim==1) ? 0 : 1);
int yiid = ((ydim==1) ? 0 : 1);
int ziid = ((zdim==1) ? 0 : 1);
for (zii=0; zii<2; zii++)
for (yii=0; yii<2; yii++)
for (xii=0; xii<2; xii++)
cell_data[tii][zii][yii][xii] = data[ilocal[0]+(zii*ziid)][ilocal[1]+(yii*yiid)][ilocal[2]+(xii*xiid)];
if (first_tstep_only == 1)
break;
}
}
return SUCCESS;
}
/* Linear interpolation along the time axis */
static inline StatusCode temporal_interpolation_structured_grid(type_coord x, type_coord y, type_coord z, double time, CField *f,
GridCode gcode, int *xi, int *yi, int *zi, int *ti,
float *value, int interp_method, int gridindexingtype)
{
StatusCode status;
CStructuredGrid *grid = f->grid->grid;
int igrid = f->igrid;
/* Find time index for temporal interpolation */
if (f->time_periodic == 0 && f->allow_time_extrapolation == 0 && (time < grid->time[0] || time > grid->time[grid->tdim-1])){
return ERROR_TIME_EXTRAPOLATION;
}
status = search_time_index(&time, grid->tdim, grid->time, &ti[igrid], f->time_periodic, grid->tfull_min, grid->tfull_max, grid->periods); CHECKSTATUS(status);
double xsi, eta, zeta;
float data2D[2][2][2];
float data3D[2][2][2][2];
// if we're in between time indices, and not at the end of the timeseries,
// we'll make sure to interpolate data between the two time values
// otherwise, we'll only use the data at the current time index
int tii = (ti[igrid] < grid->tdim-1 && time > grid->time[ti[igrid]]) ? 2 : 1;
float val[2] = {0.0f, 0.0f};
double t0 = grid->time[ti[igrid]];
// we set our second time bound and search time depending on the
// index critereon above
double t1 = (tii == 2) ? grid->time[ti[igrid]+1] : t0+1;
double tsrch = (tii == 2) ? time : t0;
status = search_indices(x, y, z, grid, &xi[igrid], &yi[igrid], &zi[igrid],
&xsi, &eta, &zeta, gcode, ti[igrid],
tsrch, t0, t1, interp_method, gridindexingtype);
CHECKSTATUS(status);
if (grid->zdim == 1) {
// last param is a flag, which denotes that we only want the first timestep
// (rather than both)
status = getCell2D(f, xi[igrid], yi[igrid], ti[igrid], data2D, tii == 1); CHECKSTATUS(status);
} else {
if ((gridindexingtype == MOM5) && (zi[igrid] == -1)) {
status = getCell3D(f, xi[igrid], yi[igrid], 0, ti[igrid], data3D, tii == 1); CHECKSTATUS(status);
} else if ((gridindexingtype == POP) && (zi[igrid] == grid->zdim-2)) {
status = getCell3D(f, xi[igrid], yi[igrid], zi[igrid]-1, ti[igrid], data3D, tii == 1); CHECKSTATUS(status);
} else {
status = getCell3D(f, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D, tii == 1); CHECKSTATUS(status);
}
}
// define a helper macro that will select the appropriate interpolation method
// depending on whether we need 2D or 3D
#define INTERP(fn_2d, fn_3d) \
do { \
if (grid->zdim == 1) { \
for (int i = 0; i < tii; i++) { \
status = fn_2d(xsi, eta, data2D[i], &val[i]); \
CHECKSTATUS(status); \
} \
} else { \
for (int i = 0; i < tii; i++) { \
status = fn_3d(xsi, eta, zeta, data3D[i], &val[i]); \
CHECKSTATUS(status); \
} \
} \
} while (0)
if ((interp_method == LINEAR) || (interp_method == CGRID_VELOCITY) ||
(interp_method == BGRID_VELOCITY) || (interp_method == BGRID_W_VELOCITY)) {
// adjust the normalised coordinate for flux-based interpolation methods
if ((interp_method == CGRID_VELOCITY) || (interp_method == BGRID_W_VELOCITY)) {
if ((gridindexingtype == NEMO) || (gridindexingtype == MOM5) || (gridindexingtype == POP)) {
// velocity is on the northeast of a tracer cell
xsi = 1;
eta = 1;
} else if (gridindexingtype == MITGCM) {
// velocity is on the southwest of a tracer cell
xsi = 0;
eta = 0;
}
} else if (interp_method == BGRID_VELOCITY) {
if (gridindexingtype == MOM5) {
zeta = 1;
} else {
zeta = 0;
}
}
if ((gridindexingtype == MOM5) && (zi[igrid] == -1)) {
INTERP(spatial_interpolation_bilinear, spatial_interpolation_trilinear_surface);
} else if ((gridindexingtype == POP) && (zi[igrid] == grid->zdim-2)) {
INTERP(spatial_interpolation_bilinear, spatial_interpolation_trilinear_bottom);
} else {
INTERP(spatial_interpolation_bilinear, spatial_interpolation_trilinear);
}
} else if (interp_method == NEAREST) {
INTERP(spatial_interpolation_nearest2D, spatial_interpolation_nearest3D);
} else if ((interp_method == CGRID_TRACER) || (interp_method == BGRID_TRACER)) {
if ((gridindexingtype == POP) && (zi[igrid] == grid->zdim-2)) {
INTERP(spatial_interpolation_tracer_bc_grid_2D, spatial_interpolation_tracer_bc_grid_bottom);
} else {
INTERP(spatial_interpolation_tracer_bc_grid_2D, spatial_interpolation_tracer_bc_grid_3D);
}
} else if (interp_method == LINEAR_INVDIST_LAND_TRACER) {
INTERP(spatial_interpolation_bilinear_invdist_land, spatial_interpolation_trilinear_invdist_land);
} else {
return ERROR;
}
// tsrch = t0 in the case where val[1] isn't populated, so this
// gives the right interpolation in either case
*value = val[0] + (val[1] - val[0]) * (float)((tsrch - t0) / (t1 - t0));
return SUCCESS;
#undef INTERP
}
static double dist(double lon1, double lon2, double lat1, double lat2, int sphere_mesh, double lat)
{
if (sphere_mesh == 1){
double rad = M_PI / 180.;
double deg2m = 1852 * 60.;
return sqrt((lon2-lon1)*(lon2-lon1) * deg2m * deg2m * cos(rad * lat) * cos(rad * lat) + (lat2-lat1)*(lat2-lat1) * deg2m * deg2m);
}
else{
return sqrt((lon2-lon1)*(lon2-lon1) + (lat2-lat1)*(lat2-lat1));
}
}
/* Linear interpolation routine for 2D C grid */
static inline StatusCode spatial_interpolation_UV_c_grid(double xsi, double eta, int xi, int yi, CStructuredGrid *grid,
GridCode gcode, float dataU[2][2], float dataV[2][2], float *u, float *v)
{
/* Cast data array into data[lat][lon] as per NEMO convention */
int xdim = grid->xdim;
double xgrid_loc[4];
double ygrid_loc[4];
int iN;
if( (gcode == RECTILINEAR_Z_GRID) || (gcode == RECTILINEAR_S_GRID) ){
float *xgrid = grid->lon;
float *ygrid = grid->lat;
for (iN=0; iN < 4; ++iN){
xgrid_loc[iN] = xgrid[xi+min(1, (iN%3))];
ygrid_loc[iN] = ygrid[yi+iN/2];
}
}
else{
float (* xgrid)[xdim] = (float (*)[xdim]) grid->lon;
float (* ygrid)[xdim] = (float (*)[xdim]) grid->lat;
for (iN=0; iN < 4; ++iN){
xgrid_loc[iN] = xgrid[yi+iN/2][xi+min(1, (iN%3))];
ygrid_loc[iN] = ygrid[yi+iN/2][xi+min(1, (iN%3))];
}
}
int i4;
for (i4 = 1; i4 < 4; ++i4){
if (xgrid_loc[i4] < xgrid_loc[0] - 180) xgrid_loc[i4] += 360;
if (xgrid_loc[i4] > xgrid_loc[0] + 180) xgrid_loc[i4] -= 360;
}
double phi[4];
phi2D_lin(0., eta, phi);
double U0 = dataU[1][0] * dist(xgrid_loc[3], xgrid_loc[0], ygrid_loc[3], ygrid_loc[0], grid->sphere_mesh, dot_prod(phi, ygrid_loc, 4));
phi2D_lin(1., eta, phi);
double U1 = dataU[1][1] * dist(xgrid_loc[1], xgrid_loc[2], ygrid_loc[1], ygrid_loc[2], grid->sphere_mesh, dot_prod(phi, ygrid_loc, 4));
phi2D_lin(xsi, 0., phi);
double V0 = dataV[0][1] * dist(xgrid_loc[0], xgrid_loc[1], ygrid_loc[0], ygrid_loc[1], grid->sphere_mesh, dot_prod(phi, ygrid_loc, 4));
phi2D_lin(xsi, 1., phi);
double V1 = dataV[1][1] * dist(xgrid_loc[2], xgrid_loc[3], ygrid_loc[2], ygrid_loc[3], grid->sphere_mesh, dot_prod(phi, ygrid_loc, 4));
double U = (1-xsi) * U0 + xsi * U1;
double V = (1-eta) * V0 + eta * V1;
double dphidxsi[4] = {eta-1, 1-eta, eta, -eta};
double dphideta[4] = {xsi-1, -xsi, xsi, 1-xsi};
double dxdxsi = 0; double dxdeta = 0;
double dydxsi = 0; double dydeta = 0;
int i;
for(i=0; i<4; ++i){
dxdxsi += xgrid_loc[i] *dphidxsi[i];
dxdeta += xgrid_loc[i] *dphideta[i];
dydxsi += ygrid_loc[i] *dphidxsi[i];
dydeta += ygrid_loc[i] *dphideta[i];
}
double meshJac = 1;
if (grid->sphere_mesh == 1){
double deg2m = 1852 * 60.;
double rad = M_PI / 180.;
phi2D_lin(xsi, eta, phi);
double lat = dot_prod(phi, ygrid_loc, 4);
meshJac = deg2m * deg2m * cos(rad * lat);
}
double jac = (dxdxsi*dydeta - dxdeta * dydxsi) * meshJac;
*u = ( (-(1-eta) * U - (1-xsi) * V ) * xgrid_loc[0] +
( (1-eta) * U - xsi * V ) * xgrid_loc[1] +
( eta * U + xsi * V ) * xgrid_loc[2] +
( -eta * U + (1-xsi) * V ) * xgrid_loc[3] ) / jac;
*v = ( (-(1-eta) * U - (1-xsi) * V ) * ygrid_loc[0] +
( (1-eta) * U - xsi * V ) * ygrid_loc[1] +
( eta * U + xsi * V ) * ygrid_loc[2] +
( -eta * U + (1-xsi) * V ) * ygrid_loc[3] ) / jac;
return SUCCESS;
}
static inline StatusCode temporal_interpolationUV_c_grid(type_coord x, type_coord y, type_coord z, double time, CField *U, CField *V,
GridCode gcode, int *xi, int *yi, int *zi, int *ti,
float *u, float *v, int gridindexingtype)
{
StatusCode status;
CStructuredGrid *grid = U->grid->grid;
int igrid = U->igrid;
/* Find time index for temporal interpolation */
if (U->time_periodic == 0 && U->allow_time_extrapolation == 0 && (time < grid->time[0] || time > grid->time[grid->tdim-1])){
return ERROR_TIME_EXTRAPOLATION;
}
status = search_time_index(&time, grid->tdim, grid->time, &ti[igrid], U->time_periodic, grid->tfull_min, grid->tfull_max, grid->periods); CHECKSTATUS(status);
double xsi, eta, zeta;
if (ti[igrid] < grid->tdim-1 && time > grid->time[ti[igrid]]) {
float u0, u1, v0, v1;
double t0 = grid->time[ti[igrid]]; double t1 = grid->time[ti[igrid]+1];
/* Identify grid cell to sample through local linear search */
status = search_indices(x, y, z, grid, &xi[igrid], &yi[igrid], &zi[igrid], &xsi, &eta, &zeta, gcode, ti[igrid], time, t0, t1, CGRID_VELOCITY, gridindexingtype); CHECKSTATUS(status);
if (grid->zdim==1){
float data2D_U[2][2][2], data2D_V[2][2][2];
if (gridindexingtype == NEMO) {
status = getCell2D(U, xi[igrid], yi[igrid], ti[igrid], data2D_U, 0); CHECKSTATUS(status);
status = getCell2D(V, xi[igrid], yi[igrid], ti[igrid], data2D_V, 0); CHECKSTATUS(status);
}
else if (gridindexingtype == MITGCM) {
status = getCell2D(U, xi[igrid], yi[igrid]-1, ti[igrid], data2D_U, 0); CHECKSTATUS(status);
status = getCell2D(V, xi[igrid]-1, yi[igrid], ti[igrid], data2D_V, 0); CHECKSTATUS(status);
}
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data2D_U[0], data2D_V[0], &u0, &v0); CHECKSTATUS(status);
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data2D_U[1], data2D_V[1], &u1, &v1); CHECKSTATUS(status);
} else {
float data3D_U[2][2][2][2], data3D_V[2][2][2][2];
if (gridindexingtype == NEMO) {
status = getCell3D(U, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_U, 0); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_V, 0); CHECKSTATUS(status);
}
else if (gridindexingtype == MITGCM) {
status = getCell3D(U, xi[igrid], yi[igrid]-1, zi[igrid], ti[igrid], data3D_U, 0); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid]-1, yi[igrid], zi[igrid], ti[igrid], data3D_V, 0); CHECKSTATUS(status);
}
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data3D_U[0][0], data3D_V[0][0], &u0, &v0); CHECKSTATUS(status);
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data3D_U[1][0], data3D_V[1][0], &u1, &v1); CHECKSTATUS(status);
}
*u = u0 + (u1 - u0) * (float)((time - t0) / (t1 - t0));
*v = v0 + (v1 - v0) * (float)((time - t0) / (t1 - t0));
return SUCCESS;
} else {
double t0 = grid->time[ti[igrid]];
status = search_indices(x, y, z, grid, &xi[igrid], &yi[igrid], &zi[igrid], &xsi, &eta, &zeta, gcode, ti[igrid], t0, t0, t0+1, CGRID_VELOCITY, gridindexingtype); CHECKSTATUS(status);
if (grid->zdim==1){
float data2D_U[2][2][2], data2D_V[2][2][2];
if (gridindexingtype == NEMO) {
status = getCell2D(U, xi[igrid], yi[igrid], ti[igrid], data2D_U, 1); CHECKSTATUS(status);
status = getCell2D(V, xi[igrid], yi[igrid], ti[igrid], data2D_V, 1); CHECKSTATUS(status);
}
else if (gridindexingtype == MITGCM) {
status = getCell2D(U, xi[igrid], yi[igrid]-1, ti[igrid], data2D_U, 1); CHECKSTATUS(status);
status = getCell2D(V, xi[igrid]-1, yi[igrid], ti[igrid], data2D_V, 1); CHECKSTATUS(status);
}
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data2D_U[0], data2D_V[0], u, v); CHECKSTATUS(status);
}
else{
float data3D_U[2][2][2][2], data3D_V[2][2][2][2];
if (gridindexingtype == NEMO) {
status = getCell3D(U, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_U, 1); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_V, 1); CHECKSTATUS(status);
}
else if (gridindexingtype == MITGCM){
status = getCell3D(U, xi[igrid], yi[igrid]-1, zi[igrid], ti[igrid], data3D_U, 1); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid]-1, yi[igrid], zi[igrid], ti[igrid], data3D_V, 1); CHECKSTATUS(status);
}
status = spatial_interpolation_UV_c_grid(xsi, eta, xi[igrid], yi[igrid], grid, gcode, data3D_U[0][0], data3D_V[0][0], u, v); CHECKSTATUS(status);
}
return SUCCESS;
}
}
/* Quadratic interpolation routine for 3D C grid */
static inline StatusCode spatial_interpolation_UVW_c_grid(double xsi, double eta, double zet, int xi, int yi, int zi, int ti, CStructuredGrid *grid,
GridCode gcode, float dataU[2][2][2], float dataV[2][2][2], float dataW[2][2][2], float *u, float *v, float *w, int gridindexingtype)
{
/* Cast data array into data[lat][lon] as per NEMO convention */
int xdim = grid->xdim;
int ydim = grid->ydim;
int zdim = grid->zdim;
float xgrid_loc[4];
float ygrid_loc[4];
int iN;
if( gcode == RECTILINEAR_S_GRID ){
float *xgrid = grid->lon;
float *ygrid = grid->lat;
for (iN=0; iN < 4; ++iN){
xgrid_loc[iN] = xgrid[xi+min(1, (iN%3))];
ygrid_loc[iN] = ygrid[yi+iN/2];
}
}
else{
float (* xgrid)[xdim] = (float (*)[xdim]) grid->lon;
float (* ygrid)[xdim] = (float (*)[xdim]) grid->lat;
for (iN=0; iN < 4; ++iN){
xgrid_loc[iN] = xgrid[yi+iN/2][xi+min(1, (iN%3))];
ygrid_loc[iN] = ygrid[yi+iN/2][xi+min(1, (iN%3))];
}
}
int i4;
for (i4 = 1; i4 < 4; ++i4){
if (xgrid_loc[i4] < xgrid_loc[0] - 180) xgrid_loc[i4] += 360;
if (xgrid_loc[i4] > xgrid_loc[0] + 180) xgrid_loc[i4] -= 360;
}
float u0 = dataU[0][1][0];
float u1 = dataU[0][1][1];
float v0 = dataV[0][0][1];
float v1 = dataV[0][1][1];
float w0 = dataW[0][1][1];
float w1 = dataW[1][1][1];
double px[8] = {xgrid_loc[0], xgrid_loc[1], xgrid_loc[2], xgrid_loc[3],
xgrid_loc[0], xgrid_loc[1], xgrid_loc[2], xgrid_loc[3]};
double py[8] = {ygrid_loc[0], ygrid_loc[1], ygrid_loc[2], ygrid_loc[3],
ygrid_loc[0], ygrid_loc[1], ygrid_loc[2], ygrid_loc[3]};
double pz[8];
if (grid->z4d == 1){
float (*zvals)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) grid->depth;
for (iN=0; iN < 4; ++iN){
pz[iN] = zvals[ti][zi][yi+iN/2][xi+min(1, (iN%3))];
pz[iN+4] = zvals[ti][zi+1][yi+iN/2][xi+min(1, (iN%3))];
}
}
else{
float (*zvals)[ydim][xdim] = (float (*)[ydim][xdim]) grid->depth;
for (iN=0; iN < 4; ++iN){
pz[iN] = zvals[zi][yi+iN/2][xi+min(1, (iN%3))];
pz[iN+4] = zvals[zi+1][yi+iN/2][xi+min(1, (iN%3))];
}
}
double U0 = u0 * jacobian3D_lin_face(px, py, pz, 0, eta, zet, ZONAL, grid->sphere_mesh);
double U1 = u1 * jacobian3D_lin_face(px, py, pz, 1, eta, zet, ZONAL, grid->sphere_mesh);
double V0 = v0 * jacobian3D_lin_face(px, py, pz, xsi, 0, zet, MERIDIONAL, grid->sphere_mesh);
double V1 = v1 * jacobian3D_lin_face(px, py, pz, xsi, 1, zet, MERIDIONAL, grid->sphere_mesh);
double W0 = w0 * jacobian3D_lin_face(px, py, pz, xsi, eta, 0, VERTICAL, grid->sphere_mesh);
double W1 = w1 * jacobian3D_lin_face(px, py, pz, xsi, eta, 1, VERTICAL, grid->sphere_mesh);
// Computing fluxes in half left hexahedron -> flux_u05
double xxu[8] = {px[0], (px[0]+px[1])/2, (px[2]+px[3])/2, px[3], px[4], (px[4]+px[5])/2, (px[6]+px[7])/2, px[7]};
double yyu[8] = {py[0], (py[0]+py[1])/2, (py[2]+py[3])/2, py[3], py[4], (py[4]+py[5])/2, (py[6]+py[7])/2, py[7]};
double zzu[8] = {pz[0], (pz[0]+pz[1])/2, (pz[2]+pz[3])/2, pz[3], pz[4], (pz[4]+pz[5])/2, (pz[6]+pz[7])/2, pz[7]};
double flux_u0 = u0 * jacobian3D_lin_face(xxu, yyu, zzu, 0, .5, .5, ZONAL, grid->sphere_mesh);
double flux_v0_halfx = v0 * jacobian3D_lin_face(xxu, yyu, zzu, .5, 0, .5, MERIDIONAL, grid->sphere_mesh);
double flux_v1_halfx = v1 * jacobian3D_lin_face(xxu, yyu, zzu, .5, 1, .5, MERIDIONAL, grid->sphere_mesh);
double flux_w0_halfx = w0 * jacobian3D_lin_face(xxu, yyu, zzu, .5, .5, 0, VERTICAL, grid->sphere_mesh);
double flux_w1_halfx = w1 * jacobian3D_lin_face(xxu, yyu, zzu, .5, .5, 1, VERTICAL, grid->sphere_mesh);
double flux_u05 = flux_u0 + flux_v0_halfx - flux_v1_halfx + flux_w0_halfx - flux_w1_halfx;
// Computing fluxes in half front hexahedron -> flux_v05
double xxv[8] = {px[0], px[1], (px[1]+px[2])/2, (px[0]+px[3])/2, px[4], px[5], (px[5]+px[6])/2, (px[4]+px[7])/2};
double yyv[8] = {py[0], py[1], (py[1]+py[2])/2, (py[0]+py[3])/2, py[4], py[5], (py[5]+py[6])/2, (py[4]+py[7])/2};
double zzv[8] = {pz[0], pz[1], (pz[1]+pz[2])/2, (pz[0]+pz[3])/2, pz[4], pz[5], (pz[5]+pz[6])/2, (pz[4]+pz[7])/2};
double flux_u0_halfy = u0 * jacobian3D_lin_face(xxv, yyv, zzv, 0, .5, .5, ZONAL, grid->sphere_mesh);
double flux_u1_halfy = u1 * jacobian3D_lin_face(xxv, yyv, zzv, 1, .5, .5, ZONAL, grid->sphere_mesh);
double flux_v0 = v0 * jacobian3D_lin_face(xxv, yyv, zzv, .5, 0, .5, MERIDIONAL, grid->sphere_mesh);
double flux_w0_halfy = w0 * jacobian3D_lin_face(xxv, yyv, zzv, .5, .5, 0, VERTICAL, grid->sphere_mesh);
double flux_w1_halfy = w1 * jacobian3D_lin_face(xxv, yyv, zzv, .5, .5, 1, VERTICAL, grid->sphere_mesh);
double flux_v05 = flux_u0_halfy - flux_u1_halfy + flux_v0 + flux_w0_halfy - flux_w1_halfy;
// Computing fluxes in half lower hexahedron -> flux_w05
double xx[8] = {px[0], px[1], px[2], px[3], (px[0]+px[4])/2, (px[1]+px[5])/2, (px[2]+px[6])/2, (px[3]+px[7])/2};
double yy[8] = {py[0], py[1], py[2], py[3], (py[0]+py[4])/2, (py[1]+py[5])/2, (py[2]+py[6])/2, (py[3]+py[7])/2};
double zz[8] = {pz[0], pz[1], pz[2], pz[3], (pz[0]+pz[4])/2, (pz[1]+pz[5])/2, (pz[2]+pz[6])/2, (pz[3]+pz[7])/2};
double flux_u0_halfz = u0 * jacobian3D_lin_face(xx, yy, zz, 0, .5, .5, ZONAL, grid->sphere_mesh);
double flux_u1_halfz = u1 * jacobian3D_lin_face(xx, yy, zz, 1, .5, .5, ZONAL, grid->sphere_mesh);
double flux_v0_halfz = v0 * jacobian3D_lin_face(xx, yy, zz, .5, 0, .5, MERIDIONAL, grid->sphere_mesh);
double flux_v1_halfz = v1 * jacobian3D_lin_face(xx, yy, zz, .5, 1, .5, MERIDIONAL, grid->sphere_mesh);
double flux_w0 = w0 * jacobian3D_lin_face(xx, yy, zz, .5, .5, 0, VERTICAL, grid->sphere_mesh);
double flux_w05 = flux_u0_halfz - flux_u1_halfz + flux_v0_halfz - flux_v1_halfz + flux_w0;
double surf_u05 = jacobian3D_lin_face(px, py, pz, .5, .5, .5, ZONAL, grid->sphere_mesh);
double jac_u05 = jacobian3D_lin_face(px, py, pz, .5, eta, zet, ZONAL, grid->sphere_mesh);
double U05 = flux_u05 / surf_u05 * jac_u05;
double surf_v05 = jacobian3D_lin_face(px, py, pz, .5, .5, .5, MERIDIONAL, grid->sphere_mesh);
double jac_v05 = jacobian3D_lin_face(px, py, pz, xsi, .5, zet, MERIDIONAL, grid->sphere_mesh);
double V05 = flux_v05 / surf_v05 * jac_v05;
double surf_w05 = jacobian3D_lin_face(px, py, pz, .5, .5, .5, VERTICAL, grid->sphere_mesh);
double jac_w05 = jacobian3D_lin_face(px, py, pz, xsi, eta, .5, VERTICAL, grid->sphere_mesh);
double W05 = flux_w05 / surf_w05 * jac_w05;
double jac = jacobian3D_lin(px, py, pz, xsi, eta, zet, grid->sphere_mesh);
double phi[3];
phi1D_quad(xsi, phi);
double uvec[3] = {U0, U05, U1};
double dxsidt = dot_prod(phi, uvec, 3) / jac;
phi1D_quad(eta, phi);
double vvec[3] = {V0, V05, V1};
double detadt = dot_prod(phi, vvec, 3) / jac;
phi1D_quad(zet, phi);
double wvec[3] = {W0, W05, W1};
double dzetdt = dot_prod(phi, wvec, 3) / jac;
double dphidxsi[8], dphideta[8], dphidzet[8];
dphidxsi3D_lin(xsi, eta, zet, dphidxsi, dphideta, dphidzet);
*u = dot_prod(dphidxsi, px, 8) * dxsidt + dot_prod(dphideta, px, 8) * detadt + dot_prod(dphidzet, px, 8) * dzetdt;
*v = dot_prod(dphidxsi, py, 8) * dxsidt + dot_prod(dphideta, py, 8) * detadt + dot_prod(dphidzet, py, 8) * dzetdt;
*w = dot_prod(dphidxsi, pz, 8) * dxsidt + dot_prod(dphideta, pz, 8) * detadt + dot_prod(dphidzet, pz, 8) * dzetdt;
return SUCCESS;
}
static inline StatusCode temporal_interpolationUVW_c_grid(type_coord x, type_coord y, type_coord z, double time, CField *U, CField *V, CField *W,
GridCode gcode, int *xi, int *yi, int *zi, int *ti,
float *u, float *v, float *w, int gridindexingtype)
{
StatusCode status;
CStructuredGrid *grid = U->grid->grid;
int igrid = U->igrid;
/* Find time index for temporal interpolation */
if (U->time_periodic == 0 && U->allow_time_extrapolation == 0 && (time < grid->time[0] || time > grid->time[grid->tdim-1])){
return ERROR_TIME_EXTRAPOLATION;
}
status = search_time_index(&time, grid->tdim, grid->time, &ti[igrid], U->time_periodic, grid->tfull_min, grid->tfull_max, grid->periods); CHECKSTATUS(status);
double xsi, eta, zet;
float data3D_U[2][2][2][2];
float data3D_V[2][2][2][2];
float data3D_W[2][2][2][2];
if (ti[igrid] < grid->tdim-1 && time > grid->time[ti[igrid]]) {
float u0, u1, v0, v1, w0, w1;
double t0 = grid->time[ti[igrid]]; double t1 = grid->time[ti[igrid]+1];
/* Identify grid cell to sample through local linear search */
status = search_indices(x, y, z, grid, &xi[igrid], &yi[igrid], &zi[igrid], &xsi, &eta, &zet, gcode, ti[igrid], time, t0, t1, CGRID_VELOCITY, gridindexingtype); CHECKSTATUS(status);
status = getCell3D(U, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_U, 0); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_V, 0); CHECKSTATUS(status);
status = getCell3D(W, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_W, 0); CHECKSTATUS(status);
if (grid->zdim==1){
return ERROR;
} else {
status = spatial_interpolation_UVW_c_grid(xsi, eta, zet, xi[igrid], yi[igrid], zi[igrid], ti[igrid], grid, gcode, data3D_U[0], data3D_V[0], data3D_W[0], &u0, &v0, &w0, gridindexingtype); CHECKSTATUS(status);
status = spatial_interpolation_UVW_c_grid(xsi, eta, zet, xi[igrid], yi[igrid], zi[igrid], ti[igrid]+1, grid, gcode, data3D_U[1], data3D_V[1], data3D_W[1], &u1, &v1, &w1, gridindexingtype); CHECKSTATUS(status);
}
*u = u0 + (u1 - u0) * (float)((time - t0) / (t1 - t0));
*v = v0 + (v1 - v0) * (float)((time - t0) / (t1 - t0));
*w = w0 + (w1 - w0) * (float)((time - t0) / (t1 - t0));
return SUCCESS;
} else {
double t0 = grid->time[ti[igrid]];
status = search_indices(x, y, z, grid, &xi[igrid], &yi[igrid], &zi[igrid], &xsi, &eta, &zet, gcode, ti[igrid], t0, t0, t0+1, CGRID_VELOCITY, gridindexingtype); CHECKSTATUS(status);
status = getCell3D(U, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_U, 1); CHECKSTATUS(status);
status = getCell3D(V, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_V, 1); CHECKSTATUS(status);
status = getCell3D(W, xi[igrid], yi[igrid], zi[igrid], ti[igrid], data3D_W, 1); CHECKSTATUS(status);
if (grid->zdim==1){
return ERROR;
}
else{
status = spatial_interpolation_UVW_c_grid(xsi, eta, zet, xi[igrid], yi[igrid], zi[igrid], ti[igrid], grid, gcode, data3D_U[0], data3D_V[0], data3D_W[0], u, v, w, gridindexingtype); CHECKSTATUS(status);
}
return SUCCESS;
}
}
static inline StatusCode calculate_slip_conditions_2D(double xsi, double eta, float dataU[2][2],
float dataV[2][2], float dataW[2][2],
float *u, float *v, float *w, int interp_method, int withW)
{
float f_u = 1, f_v = 1, f_w = 1;
if ((is_zero_flt(dataU[0][0])) && (is_zero_flt(dataU[0][1])) &&
(is_zero_flt(dataV[0][0])) && (is_zero_flt(dataV[0][1])) && eta > 0.){
if (interp_method == PARTIALSLIP) {
f_u = f_u * (.5 + .5 * eta) / eta;
if (withW) {
f_w = f_w * (.5 + .5 * eta) / eta;
}
} else if (interp_method == FREESLIP) {
f_u = f_u / eta;
if (withW) {
f_w = f_w / eta;
}
}
}
if ((is_zero_flt(dataU[1][0])) && (is_zero_flt(dataU[1][1])) &&
(is_zero_flt(dataV[1][0])) && (is_zero_flt(dataV[1][1])) && eta < 1.){
if (interp_method == PARTIALSLIP) {
f_u = f_u * (1 - .5 * eta) / (1 - eta);
if (withW) {
f_w = f_w * (1 - .5 * eta) / (1 - eta);
}
} else if (interp_method == FREESLIP) {
f_u = f_u / (1 - eta);
if (withW) {
f_w = f_w / (1 - eta);
}
}
}
if ((is_zero_flt(dataU[0][0])) && (is_zero_flt(dataU[1][0])) &&
(is_zero_flt(dataV[0][0])) && (is_zero_flt(dataV[1][0])) && xsi > 0.){
if (interp_method == PARTIALSLIP) {
f_v = f_v * (.5 + .5 * xsi) / xsi;
if (withW) {
f_w = f_w * (.5 + .5 * xsi) / xsi;
}
} else if (interp_method == FREESLIP) {
f_v = f_v / xsi;
if (withW) {
f_w = f_w / xsi;
}
}
}
if ((is_zero_flt(dataU[0][1])) && (is_zero_flt(dataU[1][1])) &&
(is_zero_flt(dataV[0][1])) && (is_zero_flt(dataV[1][1])) && xsi < 1.){
if (interp_method == PARTIALSLIP) {
f_v = f_v * (1 - .5 * xsi) / (1 - xsi);
if (withW) {
f_w = f_w * (1 - .5 * xsi) / (1 - xsi);
}
} else if (interp_method == FREESLIP) {
f_v = f_v / (1 - xsi);
if (withW) {
f_w = f_w / (1 - xsi);
}
}
}
*u *= f_u;
*v *= f_v;
if (withW) {
*w *= f_w;
}
return SUCCESS;
}
static inline StatusCode calculate_slip_conditions_3D(double xsi, double eta, double zeta, float dataU[2][2][2],
float dataV[2][2][2], float dataW[2][2][2],
float *u, float *v, float *w, int interp_method, int withW)
{
float f_u = 1, f_v = 1, f_w = 1;
if ((is_zero_flt(dataU[0][0][0])) && (is_zero_flt(dataU[0][0][1])) && (is_zero_flt(dataU[1][0][0])) && (is_zero_flt(dataU[1][0][1])) &&
(is_zero_flt(dataV[0][0][0])) && (is_zero_flt(dataV[0][0][1])) && (is_zero_flt(dataV[1][0][0])) && (is_zero_flt(dataV[1][0][1])) &&
eta > 0.){
if (interp_method == PARTIALSLIP) {
f_u = f_u * (.5 + .5 * eta) / eta;
if (withW) {
f_w = f_w * (.5 + .5 * eta) / eta;
}
} else if (interp_method == FREESLIP) {