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
|
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
! eoskey:
! 1 --- polytropic EOS
! 2 --- gamma-law EOS
! 3 --- hybrid EOS
! 4 --- finite-T microphysical NSE EOS
subroutine EOS_Omni_EOS_Press(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,press,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: press(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: hybrid_local_gamma, hybrid_local_k, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for coldeos + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
press(i) = poly_k * &
rho(i)**poly_gamma
enddo
!$OMP END PARALLEL DO
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
press(i) = (gl_gamma - 1.0d0) * rho(i) * eps(i)
enddo
!$OMP END PARALLEL DO
case (3)
! hybrid EOS
!$OMP PARALLEL DO PRIVATE(hybrid_local_gamma,hybrid_local_k,&
!$OMP hybrid_p_poly, hybrid_p_th)
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
hybrid_p_poly = hybrid_local_k * &
rho(i)**hybrid_local_gamma
hybrid_p_th = - hybrid_local_k * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * rho(i)**hybrid_local_gamma + &
(hybrid_gamma_th - 1.0d0) * rho(i) * eps(i) - &
(hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
hybrid_k1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0) * rho(i)
hybrid_p_th = max(zero, hybrid_p_th)
press(i) = hybrid_p_poly + hybrid_p_th
enddo
!$OMP END PARALLEL DO
case (4)
! nuc eos
!$OMP PARALLEL DO PRIVATE(xrho,xtemp,xye,xenr,xprs)
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_press_eps(xrho,xtemp,xye,xenr,xprs,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
press(i) = xprs * press_gf
enddo
!$OMP END PARALLEL DO
case (5)
! cold tabular EOS with gamma law
!$OMP PARALLEL DO PRIVATE(xrho,ir,gamma,eps_cold,eps_th, &
!$OMP press_cold,press_th)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
press(i) = coldeos_low_kappa * rho(i)**coldeos_low_gamma
eps(i) = press(i) / (coldeos_low_gamma - 1.0) / rho(i)
cycle
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
press(i) = press_cold + press_th
enddo
!$OMP END PARALLEL DO
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_Press
subroutine EOS_Omni_EOS_DPressByDRho(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,dpdrhoe,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: dpdrhoe(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: hybrid_local_gamma, hybrid_local_k, &
hybrid_dp_poly, hybrid_dp_th1, hybrid_dp_th2
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for cold tabulated EOS + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma, cs2, h
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
dpdrhoe(i) = poly_k * &
poly_gamma * &
rho(i) ** (poly_gamma - 1.d0)
enddo
!$OMP END PARALLEL DO
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
dpdrhoe(i) = (gl_gamma-1.0d0) * &
eps(i)
enddo
!$OMP END PARALLEL DO
case (3)
! hybrid EOS
!$OMP PARALLEL DO PRIVATE(hybrid_local_gamma,hybrid_local_k,&
!$OMP hybrid_dp_poly, hybrid_dp_th1, &
!$OMP hybrid_dp_th2)
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
hybrid_dp_poly = hybrid_local_gamma * &
hybrid_local_k * rho(i)**(hybrid_local_gamma - 1.0d0)
hybrid_dp_th1 = - hybrid_local_gamma * hybrid_local_k * &
(hybrid_gamma_th - 1.d0) / (hybrid_local_gamma - 1.d0) * &
rho(i)**(hybrid_local_gamma - 1.d0)
hybrid_dp_th2 = (hybrid_gamma_th - 1.d0) * eps(i) &
- (hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
hybrid_k1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0)
dpdrhoe(i) = hybrid_dp_poly + max(0.0d0,hybrid_dp_th1 + hybrid_dp_th2)
enddo
!$OMP END PARALLEL DO
case (4)
!$OMP PARALLEL DO PRIVATE(xrho,xtemp,xye,xenr,xprs,xent,xcs2,xdedt,&
!$OMP xdpderho,xdpdrhoe,xmunu,h)
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
dpdrhoe(i) = xdpdrhoe * press_gf * inv_rho_gf
enddo
!$OMP END PARALLEL DO
case (5)
! with the cold eos we have to assume P = P(rho), so
! by definition dPdrho is at constant internal energy
! and entropy (the latter, because T=0)
!$OMP PARALLEL DO PRIVATE(xrho,ir,gamma,eps_cold,eps_th, &
!$OMP cs2,press_cold,press_th)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
dpdrhoe(i) = coldeos_low_kappa * coldeos_low_gamma * &
rho(i)**(coldeos_low_gamma-1.0d0)
cycle
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
! this is the cold speed of sound squared
cs2 = (coldeos_cs2(ir) - coldeos_cs2(ir-1)) / &
(coldeos_cs2(ir) - coldeos_cs2(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_cs2(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
! this is the cold enthalpy, because it belongs to the
! cold speed of sound squared
h = 1.0d0 + eps_cold + press_cold / rho(i)
dpdrhoe(i) = cs2*h + press_th / rho(i)
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_DPressByDRho
subroutine EOS_Omni_EOS_DPressByDEps(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,dpdepsrho,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: dpdepsrho(npoints)
! local vars
integer :: i
character(256) :: warnstring
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for coldeos + gamma law
integer :: ir
real*8 :: eps_cold, eps_th
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
dpdepsrho(i) = 0.0d0
enddo
!$OMP END PARALLEL DO
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
dpdepsrho(i) = (gl_gamma - 1.0d0) * &
rho(i)
enddo
!$OMP END PARALLEL DO
case (3)
! hybrid EOS
!$OMP PARALLEL DO
do i=1,npoints
dpdepsrho(i) = (hybrid_gamma_th - 1.0d0) * rho(i)
enddo
!$OMP END PARALLEL DO
case (4)
! nuc_eos
!$OMP PARALLEL DO PRIVATE(xrho,xtemp,xye,xenr,xprs,&
!$OMP xent,xcs2,xdedt,xdpderho,xdpdrhoe,&
!$OMP xmunu)
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
dpdepsrho(i) = xdpderho * press_gf * inv_eps_gf
enddo
!$OMP END PARALLEL DO
case (5)
! with the cold eos we have to assume P = P(rho), so
! only the gamma law has non-zero dPdeps
!$OMP PARALLEL DO PRIVATE(xrho,ir,eps_cold,eps_th)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
dpdepsrho(i) = 0.0d0
cycle
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
dpdepsrho(i) = coldeos_thfac * (coldeos_gammath - 1.0d0)*rho(i)
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_DPressByDEps
subroutine EOS_Omni_EOS_cs2(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,cs2,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: cs2(npoints)
! local vars
integer :: i
character(256) :: warnstring
real*8 :: xpress,xdpdrhoe,xdpderho
real*8 :: hybrid_local_gamma, hybrid_local_k, &
hybrid_p_poly, hybrid_p_th
real*8,parameter :: zero = 0.0d0
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt
! temporary vars for cold tabulated EOS + gamma law
integer :: ir
real*8 :: press_cold, press_th
real*8 :: eps_cold, eps_th
real*8 :: gamma, cs2_cold, cs2_th, h, h_cold
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = poly_k * &
rho(i)**(poly_gamma) / &
(poly_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO
do i=1,npoints
xpress = poly_k * &
rho(i)**(poly_gamma)
cs2(i) = poly_gamma * xpress / rho(i) / &
(1 + eps(i) + xpress/rho(i))
enddo
!$OMP END PARALLEL DO
case (2)
! gamma-law EOS
if(keytemp.eq.1) then
!$OMP PARALLEL DO
do i=1,npoints
eps(i) = gl_k * &
rho(i)**(gl_gamma) / &
(gl_gamma - 1.0d0) / rho(i)
enddo
!$OMP END PARALLEL DO
endif
!$OMP PARALLEL DO PRIVATE(xpress,xdpdrhoe,xdpderho)
do i=1,npoints
xpress = (gl_gamma-1.0d0)*rho(i)*eps(i)
xdpdrhoe = (gl_gamma-1.0d0)*eps(i)
xdpderho = (gl_gamma-1.0d0)*rho(i)
cs2(i) = (xdpdrhoe + xpress * xdpderho / (rho(i)**2)) / &
(1.0d0 + eps(i) + xpress/rho(i))
enddo
!$OMP END PARALLEL DO
case(3)
! hybrid EOS
!$OMP PARALLEL DO PRIVATE(hybrid_local_gamma,hybrid_local_k,&
!$OMP hybrid_p_poly,hybrid_p_th,&
!$OMP xpress)
do i=1,npoints
if(rho(i).gt.hybrid_rho_nuc) then
hybrid_local_gamma = hybrid_gamma2
hybrid_local_k = hybrid_k2
else
hybrid_local_gamma = hybrid_gamma1
hybrid_local_k = hybrid_k1
endif
! first calculate the pressure
hybrid_p_poly = hybrid_local_k * &
rho(i)**hybrid_local_gamma
hybrid_p_th = - hybrid_local_k * (hybrid_gamma_th - 1.d0) / &
(hybrid_local_gamma - 1.0d0) * rho(i)**hybrid_local_gamma + &
(hybrid_gamma_th - 1.0d0) * rho(i) * eps(i) - &
(hybrid_gamma_th - 1.d0) * (hybrid_local_gamma - hybrid_gamma1) / &
(hybrid_gamma1 - 1.d0) / (hybrid_gamma2 - 1.d0) * &
hybrid_k1 * &
hybrid_rho_nuc**(hybrid_gamma1 - 1.d0) * rho(i)
hybrid_p_th = max(zero, hybrid_p_th)
xpress = hybrid_p_poly + hybrid_p_th
cs2(i) = (hybrid_local_gamma * hybrid_p_poly + hybrid_gamma_th * hybrid_p_th) / &
rho(i) / (1.0d0 + eps(i) + xpress/rho(i))
enddo
!$OMP END PARALLEL DO
case(4)
! nuc_eos
!$OMP PARALLEL DO PRIVATE(xrho,xtemp,xye,xenr,xprs,xent,xcs2,&
!$OMP xdedt,xdpderho,xdpdrhoe,xmunu)
do i=1,npoints
xrho = rho(i) * inv_rho_gf
xtemp = temp(i)
xye = ye(i)
xenr = eps(i) * inv_eps_gf
call nuc_eos_short(xrho,xtemp,xye,xenr,xprs,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
if(keyerr(i).ne.0) then
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
endif
if(keytemp.eq.1) then
eps(i) = xenr * eps_gf
else
temp(i) = xtemp
endif
cs2(i) = xcs2 * cliteinv2 / &
(1.0d0 + eps(i) + xprs * press_gf / rho(i))
enddo
!$OMP END PARALLEL DO
case (5)
! with the cold eos we have to assume P = P(rho), so
! by definition dPdrho is at constant internal energy
! and entropy (the latter, because T=0)
!$OMP PARALLEL DO PRIVATE(xprs,xrho,ir,gamma,cs2_cold,&
!$OMP eps_cold,eps_th,press_cold,press_th,&
!$OMP xdpdrhoe,xdpderho,cs2_th,h,h_cold)
do i=1,npoints
if(rho(i).lt.coldeos_rhomin) then
xprs = coldeos_low_kappa * rho(i)**coldeos_low_gamma
eps(i) = xprs / (coldeos_low_gamma - 1.0d0) / rho(i)
cs2(i) = coldeos_low_kappa * coldeos_low_gamma * &
rho(i)**(coldeos_low_gamma-1.0d0) / &
(1.0d0 + eps(i) + xprs)
cycle
else if(rho(i).gt.coldeos_rhomax) then
keyerr(i) = 103
!$OMP CRITICAL
anyerr = 1
!$OMP END CRITICAL
else
xrho = log10(rho(i))
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
! this is the cold speed of sound squared
cs2_cold = (coldeos_cs2(ir) - coldeos_cs2(ir-1)) / &
(coldeos_cs2(ir) - coldeos_cs2(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_cs2(ir-1)
eps_cold = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
if(keytemp.eq.0) then
eps_th = max(0.0d0,eps(i) - eps_cold)
else if (keytemp.eq.1) then
eps_th = 0.0d0
eps(i) = eps_cold
endif
press_cold = coldeos_kappa * rho(i)**gamma
press_th = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)*eps_th
xdpdrhoe = coldeos_thfac*(coldeos_gammath - 1.0d0)*eps_th
xdpderho = coldeos_thfac*(coldeos_gammath - 1.0d0)*rho(i)
cs2_th = (xdpdrhoe + press_th * xdpderho / (rho(i)**2))
h = 1.0d0 + eps(i) + (press_cold+press_th) / rho(i)
h_cold = 1.0d0 + eps_cold + press_cold / rho(i)
cs2(i) = (cs2_cold * h_cold + cs2_th) / h
enddo
!$OMP END PARALLEL DO
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_cs2
subroutine EOS_Omni_EOS_eps_from_press(eoskey,keytemp,rf_precision,npoints,&
rho,eps,temp,ye,press,xeps,keyerr,anyerr)
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,keytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: rho(npoints),ye(npoints),press(npoints)
CCTK_REAL, intent(inout) :: eps(npoints), temp(npoints)
CCTK_REAL, intent(out) :: xeps(npoints)
! local vars
integer :: i
character(256) :: warnstring
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
if(keytemp.eq.1) then
anyerr = 1
keyerr(:) = -1
else
anyerr = 0
keyerr(:) = 0
endif
select case (eoskey)
case (1)
! polytropic EOS
do i=1,npoints
xeps(i) = press(i) / (poly_gamma - 1.0d0) / rho(i)
enddo
case (2)
! gamma-law EOS
do i=1,npoints
xeps(i) = press(i) / (gl_gamma - 1.0d0) / rho(i)
enddo
case (3)
! hybrid EOS
write(warnstring,*) "EOS_Omni_EpsFromPress call not supported for hybrid EOS"
call CCTK_WARN(0,warnstring)
case (4)
! nuc EOS
write(warnstring,*) "EOS_Omni_EpsFromPress call not supported for nuc_eos yet"
call CCTK_WARN(0,warnstring)
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_eps_from_press
subroutine EOS_Omni_EOS_RhoFromPressEpsTempEnt(eoskey,&
ikeytemp,rf_precision,&
npoints,rho,eps,temp,entropy,ye,press,keyerr,anyerr)
! This routine returns the density and spec. internal energy based on inputs of
! pressure, temperature, and Y_e.
! The current implementation is robust, but very slow; it should be used only
! for initial data where speed does not matter.
use EOS_Omni_Module
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_INT, intent(in) :: eoskey,ikeytemp,npoints
CCTK_INT, intent(out) :: keyerr(npoints)
CCTK_INT, intent(out) :: anyerr
CCTK_REAL, intent(in) :: rf_precision
CCTK_REAL, intent(in) :: ye(npoints),press(npoints)
CCTK_REAL, intent(inout) :: rho(npoints),temp(npoints),eps(npoints)
CCTK_REAL, intent(inout) :: entropy(npoints)
! local vars
integer :: i
character(256) :: warnstring
integer :: keytemp
! temporary vars for nuc_eos
real*8 :: xrho,xye,xtemp,xenr,xent
real*8 :: xprs,xmunu,xcs2
real*8 :: xdedt,xdpderho,xdpdrhoe
! temporary vars for cold tabulated EOS
integer :: ir
real*8 :: gamma
! helper vars
logical :: cont
integer :: counter
real*8 :: rho_guess, rho_guess2
real*8 :: press_guess,press_guess2, mydpdrho
real*8 :: fac
keytemp = ikeytemp
anyerr = 0
keyerr(:) = 0
select case (eoskey)
case (1)
! polytropic EOS
do i=1,npoints
rho(i) = (press(i) / poly_k)**(1.0/poly_gamma)
eps(i) = press(i) / (poly_gamma - 1.0d0) / rho(i)
enddo
case (2)
! gamma-law EOS
do i=1,npoints
rho(i) = press(i) / ((gl_gamma - 1.0d0)*eps(i))
enddo
case (3)
! hybrid EOS
write(warnstring,*) "EOS_Omni_RestMassDensityFromPressEpsTemp not supported for hybrid EOS"
call CCTK_WARN(0,warnstring)
case (4)
! nuc EOS
if(ikeytemp.eq.2) then
call CCTK_WARN(0,"This function does not work yet when coming in with entropy")
else if(ikeytemp.eq.1) then
keytemp = 1
else
call CCTK_WARN(0,"This function does not work yet when coming in with this keytemp")
endif
keytemp = 1
do i=1,npoints
fac = 1.0d0
counter = 0
cont = .true.
xprs = press(i) * inv_press_gf
press_guess = xprs
rho_guess = rho(i) * inv_rho_gf
xprs = press(i) * inv_press_gf
xtemp = temp(i)
xye = ye(i)
do while(cont)
counter = counter + 1
rho_guess2 = rho_guess * 1.0001d0
call nuc_eos_short(rho_guess2,xtemp,xye,xenr,press_guess2,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
call nuc_eos_short(rho_guess,xtemp,xye,xenr,press_guess,&
xent,xcs2,xdedt,xdpderho,xdpdrhoe,xmunu,&
keytemp,keyerr(i),rf_precision)
mydpdrho = (press_guess2-press_guess)/(rho_guess2-rho_guess)
if (mydpdrho.lt.0.0d0) then
!$OMP CRITICAL
write(warnstring,"(A25,1P10E15.6)") "Issue with table, dpdrho.lt.0",&
rho_guess,xtemp,xye
call CCTK_WARN(0,warnstring)
!$OMP END CRITICAL
endif
if (abs(1.0d0-press_guess/xprs).lt.rf_precision) then
cont = .false.
rho(i) = rho_guess*rho_gf
eps(i) = xenr*eps_gf
else
if (fac*(xprs-press_guess)/mydpdrho/rho_guess.gt.0.1d0) then
rho_guess = 0.99d0*rho_guess
else
rho_guess = rho_guess + fac*(xprs-press_guess)/mydpdrho
endif
endif
if (counter.gt.100) then
fac = 0.01d0
endif
if (rho_guess.lt.1.0d3.or.counter.gt.100000) then
keyerr(i) = 473
anyerr = 1
return
endif
enddo
enddo
case (5)
! cold tabulate EOS
! deal only with case in which thermal pressure is zero
if(keytemp.ne.1) then
call CCTK_WARN(0,"finding rho(press) for tabulated cold EOS only possible if keytemp=1")
endif
do i=1,npoints
fac = 1.0d0
counter = 0
cont = .true.
xprs = press(i)
press_guess = xprs
rho_guess = rho(i)
xprs = press(i)
do while(cont)
counter = counter + 1
rho_guess2 = rho_guess * 1.0001d0
! press 2
if(rho_guess2.lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho_guess2.gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho_guess2)
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
press_guess2 = coldeos_kappa * rho_guess2**gamma
! end press 2
! press 1
if(rho_guess.lt.coldeos_rhomin) then
keyerr(i) = 104
anyerr = 1
else if(rho_guess.gt.coldeos_rhomax) then
keyerr(i) = 103
anyerr = 1
else
xrho = log10(rho_guess)
ir = 2 + INT( (xrho - coldeos_logrho(1) - 1.0d-10) * coldeos_dlrhoi )
endif
ir = max(2, min(ir,coldeos_nrho))
gamma = (coldeos_gamma(ir) - coldeos_gamma(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_gamma(ir-1)
press_guess = coldeos_kappa * rho_guess**gamma
! end press 1
! derivative
mydpdrho = (press_guess2-press_guess)/(rho_guess2-rho_guess)
if (mydpdrho.lt.0.0d0) then
!$OMP CRITICAL
write(warnstring,"(A25,1P10E15.6)") "Issue with table, dpdrho.lt.0",&
rho_guess,rho_guess2
call CCTK_WARN(0,warnstring)
!$OMP END CRITICAL
endif
if (abs(1.0d0-press_guess/xprs).lt.rf_precision) then
cont = .false.
rho(i) = rho_guess
eps(i) = (coldeos_eps(ir) - coldeos_eps(ir-1)) / &
(coldeos_logrho(ir) - coldeos_logrho(ir-1)) * &
(xrho - coldeos_logrho(ir-1)) + coldeos_eps(ir-1)
else
if (fac*(xprs-press_guess)/mydpdrho/rho_guess.gt.0.1d0) then
rho_guess = 0.99d0*rho_guess
else
rho_guess = rho_guess + fac*(xprs-press_guess)/mydpdrho
endif
endif
if (counter.gt.100) then
fac = 0.01d0
endif
if (rho_guess.lt.1.0d-15.or.counter.gt.100000) then
keyerr(i) = 473
anyerr = 1
return
endif
enddo
enddo
case DEFAULT
write(warnstring,*) "eoskey ",eoskey," not implemented!"
call CCTK_WARN(0,warnstring)
end select
end subroutine EOS_Omni_EOS_RhoFromPressEpsTempEnt
|
