-
Notifications
You must be signed in to change notification settings - Fork 0
/
UpWindCWC_HR_GATS.F90
707 lines (616 loc) · 52.3 KB
/
UpWindCWC_HR_GATS.F90
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
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
Subroutine UpWindCWC_HR_GATS(index,uLoadVar,dVar,VarEst,VarEstP,dt,dtday,HydroParam,MeshParam,psi_flag)
! This routine solves the Transport Equation usind a centered finite difference scheme for variables with Boundary Condition allowed.
! Called in routines: ABIOTICO, SALINITY
! Example:
! sDSal(I,J,K) == VarEst
! dVarSal == dVar
! sDSalP(I,J,K) == VarEstP
! sDSalP(I-1,J,K) == VarEstPIM
! sDSalP(I+1,J,K) == VarEstPIP
! sDSalP(I,J-1,K) == VarEstPJM
! sDSalP(I,J+1,K) == VarEstPJP
! sDSalP(I,J,K-1) == VarEstPKM
! sDSalP(I,J,K+1) == VarEstPKP
! INDEXCONT(ICEL,14) == index => 14
! uLoadVar == uDLoadSal
! sDSal0 == VarEstINI
! Obs: A dry cell receive the value of -99. The code recognizes this value and the concetration is not showed in the display (Intel - Array Visualizer)
Use MeshVars
Use Hydrodynamic
Implicit None
Real, Dimension(4):: ConcFace
Real:: CONCU,CONCD,DDCFace,DCDFace,Dispersion,Advection
Real:: DCDFace_psi,Dispersion_psi,fi_small,r_face,fi_big,psi_face
Real:: DDCZ,DC2DZ2,DCDZU,DCDZD,DCDZU_psi,DCDZD_psi,DC2DZ2_psi
Real:: V,SumQj,Sumdj,dtau
Integer:: index,iElem,iEdge,Face,iLayer,Sig,l,r,nSubCycle,iSubCycle,psi_flag,iEdgein, rr
Real:: NearZero = 1e-10
Real:: dt,dtday,Courant,qj
type(MeshGridParam) :: MeshParam
type(HydrodynamicParam) :: HydroParam
Real, Dimension(MeshParam%KMax,MeshParam%nElem):: dVar,VarEst,VarEstP
Real, Dimension(MeshParam%KMax,MeshParam%nElem):: uLoadVar
Real, Dimension(MeshParam%KMax):: r_num_plus,r_den_plus,r_num_minus,r_den_minus,r_num,r_den
!Boundary tratment variables
Real :: a,b,c,ad,bd,cd,num,den,numconc,denconc,numdist,dendist, Neighbor
HydroParam%psi_edge = 0.d0
HydroParam%psi_cell = 0.d0
Do iElem = 1, MeshParam%nElem
! 1. Define Sub-Cycle Time Step
Do iLayer = HydroParam%ElSmallm(iElem), HydroParam%ElCapitalM(iElem)
SumQj = 0.
Sumdj = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If ( MeshParam%Neighbor(iEdge,iElem)==0.or.HydroParam%H(MeshParam%Edge(iEdge,iElem)) <= HydroParam%PCRI+NearZero) Then
Sumdj = Sumdj
SumQj = SumQj
Else
If (iLayer<HydroParam%ElSmallm(MeshParam%Neighbor(iEdge,iElem))) Then
DDCFace = 0.
Sumdj = Sumdj
SumQj = SumQj
Else
If (Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)*HydroParam%DZjt(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)*HydroParam%DZjt(iLayer,Face))>=0) Then ! Water leaving
SumQj = SumQj + abs(MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))
Else
SumQj = SumQj
EndIf
DDCFace = (0.5*(HydroParam%HorDiffusivity(2,iLayer,MeshParam%Neighbor(iEdge,iElem))+HydroParam%HorDiffusivity(2,iLayer,iElem)))
Sumdj = Sumdj + max(0.,abs(MeshParam%EdgeLength(Face)/MeshParam%CirDistance(Face)*HydroParam%DZjt(iLayer,Face)*DDCFace - 0.5*abs(MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))))
EndIf
EndIf
EndDo
HydroParam%Locdt(iLayer,iElem) = MeshParam%Area(iElem)*HydroParam%DZit(iLayer,iElem)/(2*SumQj+2*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))+Sumdj+NearZero)
EndDo ! Layer Loop
!! 2. Define Psi Values
!r_num_plus = 0.
!r_den_plus = 0.
!
!Do iLayer = HydroParam%ElSmallm(iElem), HydroParam%ElCapitalM(iElem)
!
! Do iEdge = 1,4
! Face = MeshParam%Edge(iEdge,iElem)
! l = MeshParam%Left(Face)
! r = MeshParam%Right(Face)
! If ( r==0.or.HydroParam%H(Face) <= HydroParam%PCRI+NearZero ) Then
! !r_num_plus(iLayer) = r_num_plus(iLayer)
! !r_den_plus(iLayer) = r_den_plus(iLayer)
! Else
! If (Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))<=0) Then !inflow faces
! If (iLayer<HydroParam%ElSmallm(MeshParam%Neighbor(iEdge,iElem))) Then
! r_num_plus(iLayer) = r_num_plus(iLayer)
! r_den_plus(iLayer) = r_den_plus(iLayer)
! Else
! r_num_plus(iLayer) = r_num_plus(iLayer) + abs((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*HydroParam%DZjt(iLayer,Face)*MeshParam%EdgeLength(Face))*abs(VarEstP(iLayer,iElem)-VarEstP(iLayer,MeshParam%Neighbor(iEdge,iElem)))
! r_den_plus(iLayer) = r_den_plus(iLayer) + abs((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*HydroParam%DZjt(iLayer,Face)*MeshParam%EdgeLength(Face))
! EndIf
! EndIf
! EndIf
! EndDo
!
! If (HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)>0) Then !Bottom layer inflow
! If (iLayer>HydroParam%ElSmallm(iElem)) Then
! r_num_plus(iLayer) = r_num_plus(iLayer) + abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))*abs(VarEstP(iLayer,iElem)-VarEstP(iLayer-1,iElem))
! r_den_plus(iLayer) = r_den_plus(iLayer) + abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))
! EndIf
! EndIf
!
! If (HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)<0) Then !top layer inflow
! If (iLayer< HydroParam%ElCapitalM(iElem)) Then
! r_num_plus(iLayer) = r_num_plus(iLayer) + abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))*abs(VarEstP(iLayer,iElem)-VarEstP(iLayer+1,iElem))
! r_den_plus(iLayer) = r_den_plus(iLayer) + abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))
! EndIf
! EndIf
!
! Do iEdge = 1,4
! Face = MeshParam%Edge(iEdge,iElem)
! l = MeshParam%Left(Face)
! r = MeshParam%Right(Face)
! If ( r==0.or.HydroParam%H(Face) <= HydroParam%PCRI+NearZero ) Then
! HydroParam%psi_edge(iLayer,Face) = 0.
! Else
! If (Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))>0) Then !outflow faces
! fi_small = Min(1., 2.*0.5*(HydroParam%HorDiffusivity(2,iLayer,MeshParam%Neighbor(iEdge,iElem))+HydroParam%HorDiffusivity(2,iLayer,iElem))*HydroParam%DZjt(iLayer,Face)/(abs((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face))+NearZero))
! r_face = (r_num_plus(iLayer)/(abs(VarEstP(iLayer,MeshParam%Neighbor(iEdge,iElem))-VarEstP(iLayer,iElem))*(r_den_plus(iLayer)) + NearZero))
! Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
! Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
! HydroParam%psi_edge(iLayer,Face) = psi_face
! EndIf
! EndIf
! EndDo
!
!EndDo
!
!Do iLayer = HydroParam%ElSmallm(iElem), HydroParam%ElCapitalM(iElem)
!
! If (HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)<0) Then !Bottom layer outflow
! If (iLayer>HydroParam%ElSmallm(iElem)) Then
! DDCZ = HydroParam%VerEddyDiffCell(iLayer,iElem)
! fi_small = Min(1., 2.*MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)/abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))+NearZero))
! r_face = (r_num_plus(iLayer)/(abs(VarEstP(iLayer-1,iElem)-VarEstP(iLayer,iElem))*(r_den_plus(iLayer)) + NearZero))
! Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
! Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
! HydroParam%psi_cell(iLayer,iElem) = psi_face
! EndIf
! EndIf
!
! If (HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)>0) Then !top layer outflow
! If (iLayer< HydroParam%ElCapitalM(iElem)) Then
! DDCZ = HydroParam%VerEddyDiffCell(iLayer+1,iElem)
! fi_small = Min(1., 2.*MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)/abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))+NearZero))
! r_face = (r_num_plus(iLayer)/(abs(VarEstP(iLayer+1,iElem)-VarEstP(iLayer,iElem))*(r_den_plus(iLayer)) + NearZero))
! Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
! Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
! HydroParam%psi_cell(iLayer+1,iElem) = psi_face
! EndIf
! EndIf
!
!EndDo ! Layer Loop
EndDo ! Element Loop
dtau = Min( dt, MinVal( HydroParam%Locdt ) )
nSubCycle = Ceiling(dt/dtau)
If (nSubCycle>1) Then
print*,nSubCycle
EndIf
HydroParam%DZitau = HydroParam%DZit
! 2. Start Global SubCycling Time Stepping
Do iSubCycle = 1, nSubCycle
HydroParam%DZistau = HydroParam%DZit+(HydroParam%DZi-HydroParam%DZit)*iSubCycle/nSubCycle
Do iElem = 1,MeshParam%nElem
Do iLayer = HydroParam%ElSmallm(iElem), HydroParam%ElCapitalM(iElem)
!if (HydroParam%ElSmallm(iElem) == HydroParam%ElCapitalM(iElem)) then
! !HydroParam%psi_edge(iLayer,Face) = 0.d0
! !HydroParam%psi_cell(iLayer,iElem) = 0.d0
! cycle
!endif
!Define Psi Values
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If (iEdge==1) Then
iEdgein = 3
ElseIf (iEdge==2) Then
iEdgein = 4
ElseIf (iEdge==3) Then
iEdgein = 1
ElseIf (iEdge==4) Then
iEdgein = 2
EndIf
rr = MeshParam%Neighbor(iEdgein,iElem)
!set boundary conditions for psi_edge
b = VarEstP(iLayer,iElem)
If (rr==0) then
a = b! VarEstP(iLayer,iElem)
Else
If (iLayer < HydroParam%ElSmallm(rr)) then ! r==0 to the bottom
a = b !VarEstP(iLayer,iElem)
Else
a = VarEstP(iLayer,MeshParam%Neighbor(iEdgein,iElem))
EndIf
EndIf
If (MeshParam%Neighbor(iEdge,iElem)==0) then
c = b !VarEstP(iLayer,iElem)
Neighbor = iElem
Else
If (iLayer < HydroParam%ElSmallm(MeshParam%Neighbor(iEdge,iElem))) Then ! r==0 to the bottom
c = b !VarEstP(iLayer,iElem)
Neighbor = iElem
Else
c = VarEstP(iLayer,MeshParam%Neighbor(iEdge,iElem))
Neighbor = MeshParam%Neighbor(iEdge,iElem)
EndIf
EndIf
!r_face
num = (b-a)
den = (c-b)+NearZero
if (abs(c-b)<=NearZero.or.abs(b-a)<=NearZero) then
HydroParam%psi_edge(iLayer,Face) = 0
cycle
endif
!if (HydroParam%IndexInflowEdge(Face) > 0) then
! HydroParam%psi_edge(iLayer,Face) = 0
! cycle
!endif
If ((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))>0) Then !outflow faces
fi_small = Min(1., 2.*0.5*(HydroParam%HorDiffusivity(2,iLayer,Neighbor)+HydroParam%HorDiffusivity(2,iLayer,iElem))*HydroParam%DZjt(iLayer,Face)/(abs((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face))+NearZero))
r_face = num/den
Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
HydroParam%psi_edge(iLayer,Face) = psi_face
EndIf
EndDo
If (HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)<0) Then !Bottom layer outflow
!set boundary condition for psi_cel bottom layer outflow
b = VarEstP(iLayer,iElem)
bd = HydroParam%DZit(iLayer,iElem)
if (iLayer == HydroParam%ElCapitalM(iElem)) then
a = b
ad = bd
else
a = VarEstP(iLayer+1,iElem)
ad = HydroParam%DZit(iLayer+1,iElem)
endif
if (iLayer == HydroParam%ElSmallm(iElem)) then
c = b
cd = bd
else
c = VarEstP(iLayer-1,iElem)
cd = HydroParam%DZit(iLayer-1,iElem)
endif
numconc = b - a !(VarEstP(iLayer,iElem)-VarEstP(iLayer+1,iElem)
denconc = (c-b) !(VarEstP(iLayer-1,iElem)-VarEstP(iLayer,iElem)+NearZero))
numdist = 0.5d0*(bd+cd)
dendist = (0.5d0*(bd+ad))
if (abs(b-a)<=NearZero.or.abs(c-b)<=NearZero) then
HydroParam%psi_cell(iLayer,iElem) = 0
cycle
endif
if (abs(numdist)<=NearZero.or.abs(dendist)<=NearZero) then
HydroParam%psi_cell(iLayer,iElem) = 0
cycle
endif
DDCZ = HydroParam%VerEddyDiffCell(iLayer,iElem)
fi_small = Min(1., 2.*MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)/abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))+NearZero))
r_face = (numconc/denconc)*(numdist/dendist) !((VarEstP(iLayer,iElem)-VarEstP(iLayer+1,iElem))/(VarEstP(iLayer-1,iElem)-VarEstP(iLayer,iElem)+NearZero))*(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))+NearZero))
Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
HydroParam%psi_cell(iLayer,iElem) = psi_face
EndIf
If (HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)>0) Then !top layer outflow
!if (iLayer < HydroParam%ElCapitalM(iElem)) then
!set boundary condition for psi_cel top layer outflow
b = VarEstP(iLayer,iElem)
bd = HydroParam%DZit(iLayer,iElem)
if (iLayer == HydroParam%ElCapitalM(iElem)) then
a = b
ad = HydroParam%DZit(iLayer-1,iElem) !equal to cd
else
a = VarEstP(iLayer+1,iElem)
ad = HydroParam%DZit(iLayer+1,iElem)
endif
if (iLayer == HydroParam%ElSmallm(iElem)) then
c = b
cd = bd
else
c = VarEstP(iLayer-1,iElem)
cd = HydroParam%DZit(iLayer-1,iElem)
endif
numconc = b - c !((VarEstP(iLayer,iElem)-VarEstP(iLayer-1,iElem))
denconc = (a-b) !(VarEstP(iLayer+1,iElem)-VarEstP(iLayer,iElem)+NearZero))
numdist = 0.5d0*(bd+ad) !(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))
dendist = (0.5d0*(bd+cd)) !(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))+NearZero))
if (abs(a-b)<=NearZero.or.abs(b-c)<=NearZero) then
HydroParam%psi_cell(iLayer,iElem) = 0
cycle
endif
if (abs(numdist)<=NearZero.or.abs(dendist)<=NearZero) then
HydroParam%psi_cell(iLayer,iElem) = 0
cycle
endif
DDCZ = HydroParam%VerEddyDiffCell(iLayer+1,iElem)
fi_small = Min(1., 2.*MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)/abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))+NearZero))
r_face = ((VarEstP(iLayer,iElem)-VarEstP(iLayer-1,iElem))/(VarEstP(iLayer+1,iElem)-VarEstP(iLayer,iElem)+NearZero))*(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))/(0.5d0*(HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))+NearZero)) !r_face = (r_num_plus(iLayer)/(abs(VarEstP(iLayer+1,iElem)-VarEstP(iLayer,iElem))*(r_den_plus(iLayer)) + NearZero))
Courant = 0.5*(HydroParam%Theta*HydroParam%u(iLayer,Face)*+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*dt/MeshParam%CirDistance(Face)
Call Psi_value(psi_flag,r_face,Courant,fi_small,psi_face)
HydroParam%psi_cell(iLayer,iElem) = psi_face
!endif
EndIf
!Do iEdge = 1,4
! Face = MeshParam%Edge(iEdge,iElem)
! if (HydroParam%psi_edge(iLayer,Face)==0) then
!
! If (HydroParam%w(iLayer,iElem)<0) Then !Bottom layer outflow
! if (HydroParam%IndexInflowEdge(Face) > 0) then
! HydroParam%psi_cell(iLayer,iElem) = 0.d0
! endif
! EndIf
!
! If (HydroParam%w(iLayer+1,iElem)>0) Then !top layer outflow
! if (HydroParam%IndexInflowEdge(Face) > 0) then
! HydroParam%psi_cell(iLayer+1,iElem) = 0.d0
! endif
! EndIf
!
! endif
!enddo
EndDo
EndDo
Do iElem = 1,MeshParam%nElem
If ( HydroParam%eta(iElem)-HydroParam%hb(iElem) <= HydroParam%PCRI+NearZero.or.HydroParam%etan(iElem)-HydroParam%hb(iElem)<= HydroParam%PCRI+NearZero) Then
VarEst(HydroParam%ElCapitalM(iElem),iElem) = VarEstP(HydroParam%ElCapitalM(iElem),iElem)
Cycle
EndIf
Do iLayer = HydroParam%ElSmallm(iElem), HydroParam%ElCapitalM(iElem)
! Horizontal Eddy-Diffusivity (Dispersion coefficient)
! Concentration in each face
DCDFace = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If ( MeshParam%Neighbor(iEdge,iElem)==0 .or. HydroParam%H(Face) <= HydroParam%PCRI+NearZero ) Then
ConcFace(iEdge) = VarEstP(iLayer,iElem)
DDCFace = 0.
DCDFace = DCDFace
Else
If (iLayer<HydroParam%ElSmallm(MeshParam%Neighbor(iEdge,iElem))) Then
ConcFace(iEdge) = VarEstP(iLayer,iElem)
DDCFace = 0.
DCDFace = DCDFace
else
If (Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)*HydroParam%DZjt(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)*HydroParam%DZjt(iLayer,Face))>=0) Then !outflow faces
ConcFace(iEdge) = VarEstP(iLayer,iElem)
Else !inflow faces
ConcFace(iEdge) = VarEstP(iLayer,MeshParam%Neighbor(iEdge,iElem))
endif
EndIf
DCDFace = DCDFace + (MeshParam%EdgeLength(Face)/MeshParam%CirDistance(Face))*HydroParam%DZjt(iLayer,Face)*DDCFace*(ConcFace(iEdge)-VarEstP(iLayer,iElem))
EndIf
EndDo
Dispersion = DCDFace/MeshParam%Area(iElem)
!flux limiter to reduce Horizontal numerical diffusion
DCDFace_psi = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If ( MeshParam%Neighbor(iEdge,iElem)==0.or.HydroParam%H(Face) <= HydroParam%PCRI+NearZero ) Then
DCDFace_psi = DCDFace_psi
Else
If (iLayer<HydroParam%ElSmallm(MeshParam%Neighbor(iEdge,iElem))) Then
DCDFace_psi = DCDFace_psi
else
DCDFace_psi = DCDFace_psi + HydroParam%psi_edge(iLayer,Face)*abs((HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face))*HydroParam%DZjt(iLayer,Face)*MeshParam%EdgeLength(Face))*(ConcFace(iEdge)-VarEstP(iLayer,iElem))
endif
EndIf
EndDo
Dispersion_psi = DCDFace_psi/MeshParam%Area(iElem)
If ( HydroParam%ElSmallm(iElem) == HydroParam%ElCapitalM(iElem) ) Then ! Only One Vertical Layer
If (abs(-Sig(iElem,MeshParam%Right(MeshParam%Edge(1,iElem)),MeshParam%Left(MeshParam%Edge(1,iElem)))*(HydroParam%Theta*HydroParam%u(iLayer,MeshParam%Edge(1,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(1,iElem))+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,MeshParam%Edge(1,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(1,iElem)))*MeshParam%dx*DT-Sig(iElem,MeshParam%Right(MeshParam%Edge(2,iElem)),MeshParam%Left(MeshParam%Edge(2,iElem)))*(HydroParam%Theta*HydroParam%u(iLayer,MeshParam%Edge(2,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(2,iElem))+ (1.-HydroParam%Theta)*HydroParam%ut(iLayer,MeshParam%Edge(2,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(2,iElem)))*MeshParam%dy*dt-Sig(iElem,MeshParam%Right(MeshParam%Edge(3,iElem)),MeshParam%Left(MeshParam%Edge(3,iElem)))*(HydroParam%Theta*HydroParam%u(iLayer,MeshParam%Edge(3,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(3,iElem))+ (1.-HydroParam%Theta)*HydroParam%ut(iLayer,MeshParam%Edge(3,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(3,iElem)))*MeshParam%dy*dt-Sig(iElem,MeshParam%Right(MeshParam%Edge(4,iElem)),MeshParam%Left(MeshParam%Edge(4,iElem)))*(HydroParam%Theta*HydroParam%u(iLayer,MeshParam%Edge(4,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(4,iElem))+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,MeshParam%Edge(4,iElem))*HydroParam%DZjt(iLayer,MeshParam%Edge(4,iElem)))*MeshParam%dy*dt- (HydroParam%eta(iElem)-HydroParam%etaplus(ielem)/nSubCycle-HydroParam%etan(iElem))*MeshParam%dx*MeshParam%dy)>0.1) Then
VarEst(HydroParam%ElCapitalM(iElem),iElem) = VarEstP(HydroParam%ElCapitalM(iElem),iElem)
Cycle
EndIf
! Top
CONCU = VarEstP(iLayer,iElem)
! Bottom
CONCD = VarEstP(iLayer,iElem)
DC2DZ2 = 0.
! Turbulence Model (pegar referência)
DDCZ = 0.
! Transport Equation Solution for 2D
If (index== 0) Then !No boundary condition
Advection = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndDo
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection)-dt/nSubCycle/2.*Dispersion_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem))/(HydroParam%DZistau(iLayer,iElem)-HydroParam%etaplus(iElem)/nSubCycle))
Else
Advection = 0.
num=0
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If (HydroParam%IndexInflowEdge(Face) > 0.or.HydroParam%IndexWaterLevelEdge(Face) > 0) Then !Inflow/Outflow boundary condition
If (HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)>=0) Then ! Outflow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
Else !InFlow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*uLoadVar(iLayer,iElem)/MeshParam%Area(iElem)
EndIf
num=1
Else
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndIf
EndDo
if (num==1) then
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection)+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem))/(HydroParam%DZistau(iLayer,iElem)-HydroParam%etaplus(iElem)/nSubCycle))
else
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection)-dt/nSubCycle/2.*Dispersion_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem))/(HydroParam%DZistau(iLayer,iElem)-HydroParam%etaplus(iElem)/nSubCycle))
endif
EndIf
Else
If ( iLayer == HydroParam%ElSmallm(iElem) ) Then !Bottom layer
! Concentration in the Top layer
If ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))>=0) Then
CONCU = VarEstP(iLayer,iElem) ! Top face concentration is equal to the concentration in the layer
Else
CONCU = VarEstP(iLayer+1,iElem) ! Top face concentration is equal to the concentration in the layer
EndIF
! Concentration in the Top Bottom layer
CONCD = VarEstP(iLayer,iElem)
! Vertical Diffusivity Flux in the top layer
DDCZ = HydroParam%VerEddyDiffCell(iLayer+1,iElem)
!DCDZU = DDCZ*( VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem) )/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))/2.)
DCDZU = (VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem))*max(0., (MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))/2.))-((1./2.)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))))
!DCDZU = Max(0., DCDZU - 0.5*abs(MeshParam%Area(iElem)*HydroParam%w(iLayer+1,iElem)))
!flux limiter to reduce vertical numerical diffusion in the top layer
DCDZU_psi = HydroParam%psi_cell(iLayer+1,iElem)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))*(VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem))
! Vertical Diffusivity Flux in the bottom layer
DCDZD = 0.
DCDZD_psi = 0.
!DCDZD = Max(0., DCDZD - 0.5*abs(Area(iElem)*w(iLayer,iElem)))
! Vertical gradient of Diffusivity
DC2DZ2 = (DCDZU - DCDZD)/MeshParam%Area(iElem)
DC2DZ2_psi = (DCDZU_psi - DCDZD_psi)/MeshParam%Area(iElem)
! Transport Equation Solution
If (index== 0) Then !No boundary condition
Advection = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndDo
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)-((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
Else
Advection = 0.
num=0
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If (HydroParam%IndexInflowEdge(Face) > 0.or.HydroParam%IndexWaterLevelEdge(Face) > 0) Then !Inflow/Outflow boundary condition
If (HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)>=0) Then ! Outflow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
Else !InFlow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*uLoadVar(iLayer,iElem)/MeshParam%Area(iElem)
EndIf
num=1
Else
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndIf
EndDo
if (num==1) then
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)-((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
else
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)-((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
endif
EndIf
Elseif ( iLayer == HydroParam%ElCapitalM(iElem) ) Then !Surface layer
! Concentration in the Top layer
CONCU = VarEstP(iLayer,iElem) ! Up
! Concentration in the bottom layer
If ((HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))>=0) Then
CONCD = VarEstP(iLayer-1,iElem)
Else
CONCD = VarEstP(iLayer,iElem)
EndIf
! Vertical Diffusivity Flux in the top layer
DCDZU = 0.
DCDZU_psi = 0.
! Vertical Diffusivity Flux in the bottom layer
DDCZ = HydroParam%VerEddyDiffCell(iLayer,iElem)
!DCDZD = DDCZ*( VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem) )/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)
DCDZD = ( VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem) )* max(0., (MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.))-((1./2.)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))))
!DCDZD = Max(0., DCDZD - 0.5*abs(MeshParam%Area(iElem)*HydroParam%w(iLayer,iElem)))
!flux limiter to reduce vertical numerical diffusion in the bottom layer
DCDZD_psi = HydroParam%psi_cell(iLayer,iElem)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))*(VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem))
!DCDZU = Max(0., DCDZU - 0.5*abs(Area(iElem)*w(iLayer+1,iElem)))
!DCDZD = Max(0., DCDZD - 0.5*abs(MeshParam%Area(iElem)*HydroParam%w(iLayer,iElem)))
! Vertical gradient of Diffusivity
DC2DZ2 = (DCDZU - DCDZD)/MeshParam%Area(iElem)
DC2DZ2_psi = (DCDZU_psi - DCDZD_psi)/MeshParam%Area(iElem)
! Transport Equation Solution
If (index== 0) Then !No boundary condition
Advection = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndDo
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
Else
Advection = 0.
num=0
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If (HydroParam%IndexInflowEdge(Face) > 0.or.HydroParam%IndexWaterLevelEdge(Face) > 0) Then !Inflow/Outflow boundary condition
If (HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)>=0) Then ! Outflow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
Else !InFlow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*uLoadVar(iLayer,iElem)/MeshParam%Area(iElem)
EndIf
num=1
Else
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndIf
EndDo
if (num==1) then
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
else
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
endif
EndIf
Else !Intermediary layer
! Calcula a Concentração na camada
! Top
If ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))>=0) Then
CONCU = VarEstP(iLayer,iElem) ! Top face concentration is equal to the concentration in the layer
Else
CONCU = VarEstP(iLayer+1,iElem) ! Top face concentration is equal to the concentration in the layer
EndIF
! Bottom
If ((HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))>=0) Then
CONCD = VarEstP(iLayer-1,iElem)
Else
CONCD = VarEstP(iLayer,iElem)
EndIf
! Vertical Diffusivity Flux in the top layer
DDCZ = HydroParam%VerEddyDiffCell(iLayer+1,iElem)
!DCDZU = DDCZ*( VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem) )/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))/2.)
!DCDZU = Max(0., DCDZU - 0.5*abs(MeshParam%Area(iElem)*HydroParam%w(iLayer+1,iElem)))
DCDZU = (VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem))*max(0., (MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer+1,iElem))/2.))-((1./2.)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))))
!flux limiter to reduce vertical numerical diffusion in the top layer
DCDZU_psi = HydroParam%psi_cell(iLayer+1,iElem)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem)))*(VarEstP(iLayer+1,iElem) - VarEstP(iLayer,iElem))
! Vertical Diffusivity Flux in the bottom layer
DDCZ = HydroParam%VerEddyDiffCell(iLayer,iElem)
!DCDZD = DDCZ*( VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem) )/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.)
!DCDZD = Max(0., DCDZD - 0.5*abs(MeshParam%Area(iElem)*HydroParam%w(iLayer,iElem)))
DCDZD = ( VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem) )* max(0., (MeshParam%Area(iElem)*DDCZ/((HydroParam%DZit(iLayer,iElem)+HydroParam%DZit(iLayer-1,iElem))/2.))-((1./2.)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))))
!flux limiter to reduce vertical numerical diffusion in the bottom layer
DCDZD_psi = HydroParam%psi_cell(iLayer,iElem)*abs(MeshParam%Area(iElem)*(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.-HydroParam%Theta)*HydroParam%wt(iLayer,iElem)))*(VarEstP(iLayer,iElem) - VarEstP(iLayer-1,iElem))
! Vertical gradient of Diffusivity
DC2DZ2 = (DCDZU - DCDZD)/MeshParam%Area(iElem)
DC2DZ2_psi = (DCDZU_psi - DCDZD_psi)/MeshParam%Area(iElem)
! Transport Equation Solution
If (index == 0) Then !No boundary condition
Advection = 0.
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndDo
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
Else
Advection = 0.
num = 0
Do iEdge = 1,4
Face = MeshParam%Edge(iEdge,iElem)
l = MeshParam%Left(Face)
r = MeshParam%Right(Face)
If (HydroParam%IndexInflowEdge(Face) > 0.or.HydroParam%IndexWaterLevelEdge(Face) > 0) Then !Inflow/Outflow boundary condition
If (HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)>=0) Then ! Outflow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
Else !InFlow Loading
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*uLoadVar(iLayer,iElem)/MeshParam%Area(iElem)
EndIf
num=1
Else
Advection = Advection + (MeshParam%EdgeLength(Face)*HydroParam%DZjt(iLayer,Face)*Sig(iElem,r,l)*(HydroParam%Theta*HydroParam%u(iLayer,Face)+(1.-HydroParam%Theta)*HydroParam%ut(iLayer,Face)))*ConcFace(iEdge)/MeshParam%Area(iElem)
EndIf
EndDo
if (num==1) then
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
else
VarEst(iLayer,iElem) = MAX(NearZero,(dt/nSubCycle*(Dispersion-Advection+DC2DZ2)-dt/nSubCycle/2.*Dispersion_psi-dt/nSubCycle/2.*DC2DZ2_psi+dtday/nSubCycle*dVar(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem)+VarEstP(iLayer,iElem)*HydroParam%DZitau(iLayer,iElem) - ((HydroParam%Theta*HydroParam%w(iLayer+1,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer+1,iElem))*CONCU-(HydroParam%Theta*HydroParam%w(iLayer,iElem)+(1.0d0-HydroParam%Theta)*HydroParam%wt(iLayer,iElem))*CONCD)*dt/nSubCycle)/HydroParam%DZitau(iLayer,iElem))
endif
EndIf
EndIf
EndIf
EndDo
! Copy concentration Above the Free-Surface
Do iLayer = HydroParam%ElCapitalM(iElem) + 1, MeshParam%KMAX
VarEst(iLayer,iElem) = VarEst(HydroParam%ElCapitalM(iElem),iElem)
EndDo
! Copy concentration Below the Bottom
Do iLayer = 1, HydroParam%ElSmallm(iElem) - 1
VarEst(iLayer,iElem) = VarEst(HydroParam%ElSmallm(iElem),iElem)
EndDo
EndDo !Loop Elem
! preencher valores fora dos limites da camada
VarEstP = VarEst
HydroParam%DZitau = HydroParam%DZistau
EndDo ! Subcycling time stepping
Return
End Subroutine UpWindCWC_HR_GATS