-
Notifications
You must be signed in to change notification settings - Fork 2
/
main.f90
executable file
·622 lines (491 loc) · 16.4 KB
/
main.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
program PFMICE
use mod_cons
use mod_var
use mod_global
use mod_parallel
use mod_init
use mod_old
use mod_logo
use mod_field
use mod_bou
use mod_loadflds
use mod_conserve
use mod_phi
use mod_phi_im
use mod_phi_RHS
use mod_revise
use mod_c
use mod_cim
use mod_c2
use mod_map
use mod_chknan
use mod_uvwstar
use mod_prefft
use mod_p_RHS
use mod_solver
use mod_correc
use mod_temp
use mod_energy
use mod_vtk_write
use mod_outlet
use mod_debug_write
use mod_chem
implicit none
integer :: begin,nstep,istep
real, dimension(0:i1,0:j1,0:k1) :: dPFMold
real, target, dimension(0:i1,0:j1,0:k1) :: p
real, pointer, dimension(:,:,:) :: ppp
real, target, dimension(0:i1,0:j1,0:k1) :: BigQ
real, pointer, dimension(:,:,:) :: qqq
integer :: i,j,k,save_vtk,output_screen,vtk_start,vtk_end,save_restart,line
real :: res0,res1,res2,res3,res4
real :: time1, time2
real:: mass,totalmass !, sum111,var_total,var_total1,var_total2,var_total3,var_total4,var_total5,var_total6
real:: phicmin,Tmax,Tmin,cmin,cmax,phimax,phimin
integer :: phi_scheme,c_scheme,T_scheme
! control parameters
phi_scheme=1 ! 1 is explicit
c_scheme =1 ! 1 is explicit
T_scheme =1 ! 1 is explicit
dt=2.0e-7
begin =0
!nstep =5000
nstep =1
save_vtk=500
!output_screen=500
output_screen=1
save_restart=10000
line=0 !this is to output a file with only 1 point, or more if you want
! if line=0, then no output; if it is not zero, then output with this frequency
kill=1 !this means the programme will go on
tec_view=0 !this means write out tecplot file
cishu=0 !tecplot file at first is 0
totalmass=0.
!!!!!!!!!!!the time step to start and end
vtk_start=1
vtk_end=nstep+begin
!!!!!!!!!!!!!!!!!!!!!!
!start program
call initmpi
call logo
if (myid .eq. 0) write(6,*) 'nr steps at beginning simulation = ',begin
if (myid .eq. 0) write(6,*) ' dt = ', dt
! start from 0 or restart from a solution
if(begin.eq.0) then
call init
time = 0.
else
unew(:,:,:) = 0.
vnew(:,:,:) = 0.
wnew(:,:,:) = 0.
pnew(:,:,:) = 0.
PFM_phi(:,:,:) = 0.
PFM_c(:,:,:) = 1.
variables(1)='PFM_phi'
variables(2)='PFM_c'
variables(3)='rhol'
variables(4)='Tnew'
variables(5)='phi_c'
variables(6)='residual'
call loadflds(0,begin)
call boundloadd(unew,vnew,wnew,pnew,PFM_phi)
endif
!init Poisson solver
call init_tri
call initsolver
ppp => p(1:imax,1:jmax,1:kmax) ! uncomment iff solver2d is used
qqq => BigQ(1:imax,1:jmax,1:kmax) ! uncomment iff solver2d is used
! init phi boundary and c boundary, calculate chemical potential
!this is needed at the 1st time step, but not needed at the restart
if (begin .ne. 0) then
! call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew)
call boundChem(Phi_c)
endif
call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew) !I think this is needed
call boundChem(Phi_c) ! I think this is needed
call ChemicalPotential
call boundChem(chem_pot)
call boundc(PFM_c)
call boundT(Tnew)
! calculate the physical parameters
call updatefield(0)
call bounduvw(unew,vnew,wnew,PFM_phi,rhol,visl)
call boundp(pnew)
dPFM_bound_old(:,:)=0.0
dPFM_bound_old_top(:,:)=0.0
!alpha=0.
delta_u=0.0
delta_u_old=0.0
ct_change=0.
rholold=rhol
BigQ=0.
! output initial solution
C_Po(:,:,:,1) = PFM_phi(0:i1,0:j1,0:k1)
C_Po(:,:,:,2)= PFM_c(0:i1,0:j1,0:k1)
C_Po(:,:,:,3) = rhol(0:i1,0:j1,0:k1)
C_Po(:,:,:,4) = Tnew(0:i1,0:j1,0:k1)
C_Po(:,:,:,5) = pnew(:,:,:)
C_Po(:,:,:,6) = Phi_c(0:i1,0:j1,0:k1)
istep =0
!call post2dme(istep,1,itot/2,unew,vnew,wnew,pnew,C_Po)
!!debug output
!debug1=0.0
!debug2=0.
!debug3=0.
!debug4=0.
!debug5=0.
!debug6=0.
use_c_map=0 !do not use map_c at the beginning
use_phi_map=0 !do not use map_c at the beginning
print*, "myid=", myid, coords(1),coords(2)
!*********************************************************
open(13, file="line", status='replace')
!**********************************************************
call CPU_time(time1)
! main loop below
!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
do istep = begin+1,begin+nstep !here I changed the defination of nstep
! to provide a smaller time step at first
!if (istep > 3000) then
! dt =5.0e-6
!endif
time = time + dt
!! give old values
!rholold2=rholold
!rholold=rhol
!rholcp_old=rholcp
!PFM_phi_old=PFM_phi
!PFM_c_old=PFM_c
!kkold=kk
!vislold=visl
!Told=Tnew
!uold=unew
!vold=vnew
!wold=wnew
!pold=pnew
!chem_pot_old=chem_pot
!Phi_c_old=Phi_c
!delta_u_old=delta_u
call old
if (phi_scheme==1) then
!explicit phi
call m_phi
call updatePfm(dPFMold)
call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew)
!here is the mapping process
call check_map_phi
call mpi_allreduce(MPI_IN_PLACE,use_phi_map, 1,mpi_integer,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
if (use_phi_map>0) then
call mpi_allreduce(MPI_IN_PLACE,phi_wb, 1,mpi_real8,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
call mpi_allreduce(MPI_IN_PLACE,phi_diff,1,mpi_real8,mpi_sum,comm_cart,error)
call mapphi !this is to force phi back to [0,1]
call phi_RHS(BigQ)
call solver2d(qqq,tri1_l,tri1_m,tri1_r)
call boundBigQ(BigQ)
call revise(BigQ)
call updthalosBig(m_y_phi,1)
call updthalosBig(m_y_phi,2)
call updthalosBig(m_x_phi,1)
call updthalosBig(m_x_phi,2)
call updthalosBig(m_z_phi,1)
call updthalosBig(m_z_phi,2)
do k=1,kmax
do j=1,jmax
do i=1,imax
PFM_phi(i,j,k)=phi_b(i,j,k)
enddo
enddo
enddo
call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew)
endif
!!end of the mapping process
call ChemicalPotential
call boundChem(chem_pot)
else ! use implicit scheme
!implicit
!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
call updatephi_im
call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew)
call ChemicalPotential_im
call boundChem(chem_pot)
call m_imphi
call check_map_phi
call mpi_allreduce(MPI_IN_PLACE,use_phi_map, 1,mpi_integer,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
if (use_phi_map>0) then
!print*, "aaa"
call mpi_allreduce(MPI_IN_PLACE,phi_wb, 1,mpi_real8,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
call mpi_allreduce(MPI_IN_PLACE,phi_diff,1,mpi_real8,mpi_sum,comm_cart,error)
call mapphi !this is to force phi back to [0,1]
call phi_RHS(BigQ)
call solver2d(qqq,tri1_l,tri1_m,tri1_r)
call boundBigQ(BigQ)
call revise(BigQ)
call updthalosBig(m_y_phi,1)
call updthalosBig(m_y_phi,2)
call updthalosBig(m_x_phi,1)
call updthalosBig(m_x_phi,2)
call updthalosBig(m_z_phi,1)
call updthalosBig(m_z_phi,2)
do k=1,kmax
do j=1,jmax
do i=1,imax
PFM_phi(i,j,k)=phi_b(i,j,k)
enddo
enddo
enddo
call boundPFM(PFM_phi,dPFM_bound_old,dPFM_bound_old_top,unew,vnew,wnew)
endif
endif ! end the ex or im scheme
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! then let us go to C
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
call m_phi_c
!!calculate c value
if (c_scheme==1 ) then
!!explicit
call updatephi_c
call updatec
!!!implicit
else
call updatecim
endif
! then let us map phi_c
call check_map_c
call mpi_allreduce(MPI_IN_PLACE,use_c_map, 1,mpi_integer,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
if (use_c_map>0) then
!print*, "aaa"
call mpi_allreduce(MPI_IN_PLACE,phi_c_wb, 1,mpi_real8,mpi_sum,comm_cart,error) !calculate the demoninator and coefficient of equation50
call mpi_allreduce(MPI_IN_PLACE,phi_c_diff,1,mpi_real8,mpi_sum,comm_cart,error)
call mapc !this is to force c back to [0,1]
call c_RHS(BigQ)
call solver2d(qqq,tri1_l,tri1_m,tri1_r)
call boundBigQ(BigQ)
call revisec(BigQ)
call updthalosBig(m_y_phi_c,1)
call updthalosBig(m_y_phi_c,2)
call updthalosBig(m_x_phi_c,1)
call updthalosBig(m_x_phi_c,2)
call updthalosBig(m_z_phi_c,1)
call updthalosBig(m_z_phi_c,2)
do k=1,kmax
do j=1,jmax
do i=1,imax
Phi_c(i,j,k)=Phi_c_b(i,j,k)
enddo
enddo
enddo
endif
call boundc(PFM_c)
call boundChem(Phi_c)
call updatec_t
call m_rho !here it is still time step n, flux
call m_rho_cp
! update the physical parameters
! 1 is density, 2 is viscosity, 3 is kk, 4 is rho_cp, 0 is all
! here it is time step n+1, variable
call updatefield(4) !update roh_cp
call updatefield(1) !update rho
! then we solv temperature
if (T_scheme==1) then
call temp
else
call energy
endif
call boundT(Tnew)
call update_delta
! calculate intermediate velocity
do k=0,k1
do j=0,j1
do i=0,i1
residual1(i,j,k)=(rhol(i,j,k)-rholold(i,j,k))/dt+ & ! use ziyang consistency equation
(m_x_rho(i,j,k)-m_x_rho(i-1,j,k))/dx+&
(m_y_rho(i,j,k)-m_y_rho(i,j-1,k))/dy+&
(m_z_rho(i,j,k)-m_z_rho(i,j,k-1))/dz
enddo
enddo
enddo
call uvwstar
call bounduvw(ustar,vstar,wstar,PFM_phi,rhol,visl)
call updatefield(2) !viscosity
call updatefield(3) ! kk
! calculate pressure and velocity for n+1
!if (istep.eq.begin+1) then
if (istep.eq.1) then !I have restart
pold2=pnew
pold =pnew
else
pold2=pold
pold=pnew
endif
do k=1,kmax
do j=1,jmax
do i=1,imax
!if (istep.eq.begin+1) then
if (istep.eq.1) then !because I write pold into restart now
phat(i,j,k) = pold(i,j,k)
else
phat(i,j,k) = 2.0*pold(i,j,k)-pold2(i,j,k)
endif
enddo
enddo
enddo
call boundp(phat)
call p_RHS(p)
call solver2d(ppp,tri2_l,tri2_m,tri2_r)
call boundp(p)
call correc(p)
call bounduvw(unew,vnew,wnew,PFM_phi,rhol,visl)
pnew(:,:,:) = p(:,:,:)
call boundp(pnew)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! !here, check the residuals
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
if (mod(istep,output_screen).eq.0 .or. (istep==1)) then
call chk(PFM_phi(0:i1,0:j1,0:k1))
if (kill .eq. 0) then
call CPU_time(time2)
print*, "time used is ", time2-time1
write(6,*) "NaN or Infinity appears in Phi, stop programme"
call decomp_2d_finalize
call MPI_FINALIZE(error)
endif
call chk(Tnew(0:i1,0:j1,0:k1))
if (kill .eq. 0) then
call CPU_time(time2)
print*, "time used is ", time2-time1
write(6,*) "NaN or Infinity appears in T, stop programme"
call decomp_2d_finalize
call MPI_FINALIZE(error)
endif
v_bulk =sum(vnew(1:imax,1:jmax,1:kmax))
w_bulk =sum(wnew(1:imax,1:jmax,1:kmax))
mass =sum(rhol(1:imax,1:jmax,1:kmax))
phicmin=minval(Phi_c(1:imax,1:jmax,1:kmax))
Tmax =maxval(Tnew(1:imax,1:jmax,1:kmax))
Tmin =minval(Tnew(1:imax,1:jmax,1:kmax))
phimax =maxval(PFM_phi(1:imax,1:jmax,1:kmax))
phimin =minval(PFM_phi(1:imax,1:jmax,1:kmax))
cmax =maxval(PFM_c(1:imax,1:jmax,1:kmax))
cmin =minval(PFM_c(1:imax,1:jmax,1:kmax))
call mpi_allreduce(MPI_IN_PLACE,v_bulk,1,mpi_real8,mpi_sum,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,w_bulk,1,mpi_real8,mpi_sum,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,mass ,1,mpi_real8,mpi_sum,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,phicmin,1,mpi_real8,mpi_min,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,Tmax ,1,mpi_real8,mpi_max,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,Tmin ,1,mpi_real8,mpi_min,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,phimax ,1,mpi_real8,mpi_max,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,phimin ,1,mpi_real8,mpi_min,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,cmax ,1,mpi_real8,mpi_max,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,cmin ,1,mpi_real8,mpi_min,comm_cart,error)
v_bulk=v_bulk/(1.*itot*jtot*ktot)
w_bulk=w_bulk/(1.*itot*jtot*ktot)
!calculate the residual
residual0=0.
residual1=0.
residual2=0.
residual3=0.
residual4=0.
res0=0.
res1=0.
res2=0.
res3=0.
res4=0.
do k=1,kmax
do j=1,jmax
do i=1,imax
residual0(i,j,k)=(unew(i,j,k)-unew(i-1,j,k))/dx+&
(vnew(i,j,k)-vnew(i,j-1,k))/dy+&
(wnew(i,j,k)-wnew(i,j,k-1))/dz
residual1(i,j,k)=(rhol(i,j,k)-rholold(i,j,k))/dt+ & ! use ziyang consistency equation
(m_x_rho(i,j,k)-m_x_rho(i-1,j,k))/dx+&
(m_y_rho(i,j,k)-m_y_rho(i,j-1,k))/dy+&
(m_z_rho(i,j,k)-m_z_rho(i,j,k-1))/dz
residual2(i,j,k)=(PFM_phi(i,j,k)-PFM_phi_old(i,j,k))/dt+&
(m_x_phi(i,j,k)-m_x_phi(i-1,j,k))/dx+&
(m_y_phi(i,j,k)-m_y_phi(i,j-1,k))/dy+&
(m_z_phi(i,j,k)-m_z_phi(i,j,k-1))/dz-&
PFM_phi_old(i,j,k)*((uold(i,j,k)-uold(i-1,j,k))/dx+&
(vold(i,j,k)-vold(i,j-1,k))/dy+&
(wold(i,j,k)-wold(i,j,k-1))/dz)
residual3(i,j,k)=(Phi_c(i,j,k)-Phi_c_old(i,j,k))/dt+&
(m_x_phi_c(i,j,k)-m_x_phi_c(i-1,j,k))/dx+&
(m_y_phi_c(i,j,k)-m_y_phi_c(i,j-1,k))/dy+&
(m_z_phi_c(i,j,k)-m_z_phi_c(i,j,k-1))/dz-&
ct_change(i,j,k)
!ct_origin(i,j,k)
!residual4(i,j,k)=rhol(i,j,k)*residual0(i,j,k)-delta_u(i,j,k)*(rho_2-rho_3)
residual4(i,j,k)=rholold(i,j,k)*( (uold(i,j,k)-uold(i-1,j,k))/dx+&
(vold(i,j,k)-vold(i,j-1,k))/dy+&
(wold(i,j,k)-wold(i,j,k-1))/dz )-&
delta_u_old(i,j,k)*(rho_2-rho_3)
res0=res0+residual1(i,j,k)
res1=res1+abs(residual1(i,j,k))
res2=res2+abs(residual2(i,j,k))
res3=res3+abs(residual3(i,j,k))
res4=res4+abs(residual4(i,j,k))
enddo
enddo
enddo
call boundBigQ(residual1)
call boundBigQ(residual2)
call boundBigQ(residual3)
call mpi_allreduce(MPI_IN_PLACE,res1,1,mpi_real8,mpi_sum,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,res2,1,mpi_real8,mpi_sum,comm_cart,error)
call mpi_allreduce(MPI_IN_PLACE,res3,1,mpi_real8,mpi_sum,comm_cart,error)
if (myid.eq.0) write(6,*) 'time = ',time,'istep = ',istep,'mass= ',mass, 'vbulk = ',v_bulk,'wbulk = ',w_bulk
if (myid.eq.0) write(6,"(5es24.17)") res0,res1,res2,res3,res4,Tmax,Tmin
if (myid.eq.0) write(6,"(2es24.17)") phimax,phimin,cmax,cmin
if (myid.eq.0) write(6,*) " "
call CPU_time(time2)
print*, "time used is ", time2-time1
!if (myid.eq.0) then
! do k=1,kmax
! !print*, k,debug5(1,10,k),debug6(1,10,k),PFM_phi(1,10,k),Tnew(i,j,k)
! print*, k,debug2(1,10,k),debug3(1,10,k),debug4(1,10,k),debug1(1,10,k),debug5(1,10,k),PFM_c(1,10,k)
! enddo
!endif
call outmass(totalmass)
endif
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! output solution files
!if (istep>=vtk_start .and. istep<=vtk_end) then
!if(myid.eq.0) then
if ((mod(istep,save_vtk).eq.0).or.(istep.eq.(begin+1))) then
C_Po(:,:,:,1) = PFM_phi(0:i1,0:j1,0:k1)
C_Po(:,:,:,2)= PFM_c(0:i1,0:j1,0:k1)
C_Po(:,:,:,3) = rhol(0:i1,0:j1,0:k1)
C_Po(:,:,:,4) = Tnew(0:i1,0:j1,0:k1)
C_Po(:,:,:,5) = Phi_c(0:i1,0:j1,0:k1)
C_Po(:,:,:,6) = residual1(0:i1,0:j1,0:k1)
call post2dme(istep,1,itot/2,unew,vnew,wnew,pnew,C_Po)
!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
call boundBigQ(debug1)
call boundBigQ(debug2)
call boundBigQ(debug3)
call boundBigQ(debug4)
call boundBigQ(debug5)
call boundBigQ(debug6)
debug(:,:,:,1) = debug1(0:i1,0:j1,0:k1)
debug(:,:,:,2)= debug2(0:i1,0:j1,0:k1)
debug(:,:,:,3) = debug3(0:i1,0:j1,0:k1)
debug(:,:,:,4) = debug4(0:i1,0:j1,0:k1)
debug(:,:,:,5) = debug5(0:i1,0:j1,0:k1)
debug(:,:,:,6) = debug6(0:i1,0:j1,0:k1)
call ddebug(istep,1,itot/2,debug)
endif
!endif
! output restart file
if (mod(istep,save_restart).eq.0) then
call loadflds(1,istep)
endif
enddo
if(myid.eq.0) write(6,*) '*** Fim ***'
!
call decomp_2d_finalize
call MPI_FINALIZE(error)
!
close(13)
call CPU_time(time2)
print*, "time used is ", time2-time1
end program