/
refs.bib
1156 lines (1026 loc) · 37.7 KB
/
refs.bib
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
@String{ JCP = "J Comput Phys"}
@String{ JAS = "J Atmos Sci"}
@String{ APJ = "Astrophys J"}
@String{ APJ:sup = "Astrophys J Supplement"}
@String{ AAP = "Astron Astrophys"}
@String{ SJSSC = "SIAM J Sci Statist Comput"}
@String{ CAMCOS = "Communications in Applied Mathematics and Computational Science"}
@String{ MNRAS = "Mon Not R Astron Soc"}
@ARTICLE{durran:1989,
author={D. R. Durran},
title={Improving the anelastic approximation},
journal=jas,
volume={46},
number={11},
pages={1453-1461},
year={1989}
}
@ARTICLE{almgren:2010,
author = {{Almgren}, A.~S. and {Beckner}, V.~E. and {Bell}, J.~B. and
{Day}, M.~S. and {Howell}, L.~H. and {Joggerst}, C.~C. and {Lijewski}, M.~J. and
{Nonaka}, A. and {Singer}, M. and {Zingale}, M.},
title = "{CASTRO: A New Compressible Astrophysical Solver. I. Hydrodynamics and Self-gravity}",
journal = APJ,
archivePrefix = "arXiv",
eprint = {1005.0114},
primaryClass = "astro-ph.IM",
keywords = {equation of state, gravitation, hydrodynamics, methods: numerical, nuclear reactions, nucleosynthesis, abundances},
year = 2010,
month = jun,
volume = 715,
pages = {1221-1238},
doi = {10.1088/0004-637X/715/2/1221},
adsurl = {http://adsabs.harvard.edu/abs/2010ApJ...715.1221A},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{colella:1990,
author = {{Colella}, P.},
title = "{Multidimensional upwind methods for hyperbolic conservation laws}",
journal = JCP,
keywords = {ADVECTION, BOUNDARY VALUE PROBLEMS, COMPUTATIONAL GRIDS, CONSERVATION LAWS, FINITE DIFFERENCE THEORY, HYPERBOLIC FUNCTIONS, ALGORITHMS, CAUCHY PROBLEM, PREDICTOR-CORRECTOR METHODS},
year = 1990,
month = mar,
volume = 87,
pages = {171-200},
doi = {10.1016/0021-9991(90)90233-Q},
adsurl = {http://adsabs.harvard.edu/abs/1990JCoPh..87..171C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{colella:1985,
author = {{Colella}, P.},
title = "{A direct Eulerian MUSCL scheme for gas dynamics}",
journal = {SIAM J Sci Stat Comput},
year = 1985,
volume = 6,
number = 1,
pages = {104-117}
}
@ARTICLE{colellaglaz:1985,
author = {{Colella}, P. and {Glaz}, H.~M.},
title = "{Efficient solution algorithms for the Riemann problem for real gases}",
journal = {J Comput Phys},
keywords = {CAUCHY PROBLEM, COMPRESSIBLE FLOW, EQUATIONS OF STATE, GAS DYNAMICS, INVISCID FLOW, POLYTROPIC PROCESSES, ALGORITHMS, BOUNDARY VALUE PROBLEMS, CARTESIAN COORDINATES, FINITE DIFFERENCE THEORY, JACOBI MATRIX METHOD, RANKINE-HUGONIOT RELATION, SHOCK TUBES, SHOCK WAVES},
year = 1985,
month = jun,
volume = 59,
pages = {264-289},
doi = {10.1016/0021-9991(85)90146-9},
adsurl = {http://adsabs.harvard.edu/abs/1985JCoPh..59..264C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{colellawoodward:1984,
author = {{Colella}, P. and {Woodward}, P.~R.},
title = "{The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations}",
journal = JCP,
year = 1984,
month = sep,
volume = 54,
pages = {174-201},
doi = {10.1016/0021-9991(84)90143-8},
adsurl = {http://adsabs.harvard.edu/abs/1984JCoPh..54..174C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{millercolella:2002,
author = {{Miller}, G.~H. and {Colella}, P.},
title = "{A Conservative Three-Dimensional Eulerian Method for Coupled Solid-Fluid Shock Capturing}",
journal = JCP,
year = 2002,
month = nov,
volume = 183,
pages = {26-82},
doi = {10.1006/jcph.2002.7158},
adsurl = {http://adsabs.harvard.edu/abs/2002JCoPh.183...26M},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{saltzman:1994,
author = {{Saltzman}, J.},
title = "{An Unsplit 3D Upwind Method for Hyperbolic Conservation Laws}",
journal = JCP,
year = 1994,
month = nov,
volume = 115,
pages = {153-168},
doi = {10.1006/jcph.1994.1184},
adsurl = {http://adsabs.harvard.edu/abs/1994JCoPh.115..153S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@Book{yak,
author = {{Yakowitz}, S. and {Szidarovszky}, F.},
title = {An Introduction to Numerical Computations, 2nd edition},
publisher = {Prentice Hall},
year = {1989}
}
@Book{oranboris,
author = {{Oran}, E.~S. and {Boris}, J.~B.},
title = {Numerical Simulation of Reactive Flow},
edition = {2nd},
publisher = {Cambridge University Press},
year = {2005}
}
@Book{garcia,
author = {{Garcia}, A.},
title = {Numerical Methods for Physics, 2nd Edition},
publisher = {Addison-Wesley},
year = {1999}
}
@Book{newman,
author = {{Newman}, M.},
title = {Computational Physics},
publisher = {CreateSpace Independent Publishing Platform},
year = {2012}
}
@Book{toro:1997,
author = {E. F. Toro},
title = {Riemann Solvers and Numerical Methods for Fluid Dynamics},
publisher = {Springer},
year = {1997},
}
@book{leveque:2002,
author = {Randall J. LeVeque},
publisher = {Cambridge University Press },
title = {Finite-Volume Methods for Hyperbolic Problems},
year = 2002
}
@book{leveque:fd,
author = {Randall J. LeVeque},
publisher = {SIAM, Society of Industrial and Applied Mathematics },
series = {Classics in Applied Mathematics},
title = {Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems},
year = 2007
}
@ARTICLE{plewamuller:1999,
author = {{Plewa}, T. and {M{\"u}ller}, E.},
title = "{The consistent multi-fluid advection method}",
journal = {Astron Astrophys},
eprint = {arXiv:astro-ph/9807241},
keywords = {HYDRODYNAMICS, NUCLEAR REACTIONS, NUCLEOSYNTHESIS, ABUNDANCES, METHODS: NUMERICAL, STARS: SUPERNOVAE: GENERAL},
year = 1999,
month = feb,
volume = 342,
pages = {179-191},
adsurl = {http://adsabs.harvard.edu/abs/1999A%26A...342..179P},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{bryan:1995,
author = {{Bryan}, G.~L. and {Norman}, M.~L. and {Stone}, J.~M. and {Cen}, R. and
{Ostriker}, J.~P.},
title = "{A piecewise parabolic method for cosmological hydrodynamics}",
journal = {Computer Physics Communications},
year = 1995,
month = aug,
volume = 89,
pages = {149-168},
doi = {10.1016/0010-4655(94)00191-4},
adsurl = {http://adsabs.harvard.edu/abs/1995CoPhC..89..149B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@book{multigridtutorial,
author = {Briggs, W.~L. and Henson, V-E. and McCormick, S.~F.},
publisher = {SIAM},
title = {A Mutigrid Tutorial, 2nd Ed.},
year = 2000
}
@book{colellanotes,
author = {Colella, P. and Puckett, E.~G.},
publisher = {unpublished manuscript},
title = {Modern Numerical Methods for Fluid Flow},
note = {obtained from http://www.amath.unc.edu/Faculty/minion/class/puckett/}
}
@ARTICLE{BCG,
author = {{Bell}, J.~B. and {Colella}, P. and {Glaz}, H.~M.},
title = "{A Second Order Projection Method for the Incompressible Navier-Stokes Equations}",
journal = {J Comput Phys},
year = 1989,
month = dec,
volume = 85,
pages = {257},
doi = {10.1016/0021-9991(89)90151-4},
adsurl = {http://adsabs.harvard.edu/abs/1989JCoPh..85..257B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@INPROCEEDINGS{BCH,
AUTHOR = {J. B. Bell and P. Colella and L. H. Howell},
TITLE = {An efficient second-order projection method
for viscous incompressible flow},
YEAR = {1991},
BOOKTITLE = {Proceedings of the Tenth AIAA Computational
Fluid Dynamics Conference},
MONTH = Jun,
ORGANIZATION = {AIAA},
PAGES = {360--367},
note = {see also: https://seesar.lbl.gov/anag/publications/colella/A\_2\_10.pdf}
}
@ARTICLE{ABS,
TITLE = {A numerical method for the incompressible {N}avier-{S}tokes
equations based on an approximate projection},
AUTHOR = {A. S. Almgren and J. B. Bell and W. G. Szymczak},
YEAR = {1996},
VOLUME = {17},
NUMBER = {2},
MONTH = Mar,
JOURNAL = {SIAM J Sci Comput},
PAGES = {358--369}
}
@ARTICLE{chorin:1968,
AUTHOR = {A. J. Chorin},
TITLE = {Numerical Solution of the {N}avier-{S}tokes Equations},
JOURNAL = {Math. Comp.},
VOLUME = {22},
PAGES = {745--762},
YEAR = {1968}
}
@ARTICLE{MartinColella,
author = {{Martin}, D.~F. and {Colella}, P.},
title = "{A Cell-Centered Adaptive Projection Method for the Incompressible Euler Equations}",
journal = {Journal of Computational Physics},
year = 2000,
month = sep,
volume = 163,
pages = {271-312},
doi = {10.1006/jcph.2000.6575},
adsurl = {http://adsabs.harvard.edu/abs/2000JCoPh.163..271M},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@TECHREPORT{rider,
author = {{Rider}, W.~J. },
title = {Approximate Projection Methods for Incompressible Flow: Implementation, Variants and Robustness.},
institution = {LANL UNCLASSIFIED REPORT LA-UR-94-2000, LOS ALAMOS NATIONAL LABORATORY},
year = {1995}
}
@ARTICLE{ABC,
author = {A. S. Almgren and J. B. Bell and W. Y. Crutchfield},
title = {Approximate Projection Methods: Part {I}. {I}nviscid Analysis},
journal = {SIAM J Sci Comput},
volume={22},
number={4},
pages={1139--59},
year = {2000}
}
@article{BellMarcus,
title = "A second-order projection method for variable-density flows",
journal = JCP,
volume = "101",
number = "2",
pages = "334 - 348",
year = "1992",
note = "",
issn = "0021-9991",
doi = "10.1016/0021-9991(92)90011-M",
url = "http://www.sciencedirect.com/science/article/pii/002199919290011M",
author = "Bell, J.~B. and Marcus, D.~L."
}
@Article{SNpaper,
author = {J.~B. Bell and M.~S. Day and C.~A. Rendleman and
S.~E. Woosley and M.~A. Zingale},
title = {Adaptive low {M}ach number simulations of nuclear flame microphysics},
journal = {J Comput Phys},
year = {2004},
volume = {195},
number = {2},
pages = {677-694}
}
@Article{pember-flame,
author = {R. B. Pember and L. H. Howell and J. B. Bell and
P. Colella and W. Y. Crutchfield and W. A. Fiveland
and J. P. Jessee},
title = {An Adaptive Projection Method for Unsteady
Low-{M}ach Number Combustion},
journal = {Comb. Sci. Tech.},
volume = {140},
pages = {123--168},
year = {1998},
}
@ARTICLE{DayBell:2000,
author={M. S. Day and J. B. Bell},
title={Numerical simulation of laminar reacting flows with complex chemistry},
journal={Combust. Theory Modelling},
volume={4},
number={4},
pages={535-556},
year={2000}
}
@ARTICLE{minion:1996,
author = {{Minion}, M.~L.},
title = "{A Projection Method for Locally Refined Grids}",
journal = JCP,
year = 1996,
volume = 127,
pages = {158--177}
}
@ARTICLE{malone:2011,
author = {{Malone}, C.~M. and {Nonaka}, A. and {Almgren}, A.~S. and {Bell}, J.~B. and
{Zingale}, M.},
title = "{Multidimensional Modeling of Type I X-ray Bursts. I. Two-dimensional Convection Prior to the Outburst of a Pure $^{4}$He Accretor}",
journal = APJ,
archivePrefix = "arXiv",
eprint = {1012.0609},
primaryClass = "astro-ph.HE",
keywords = {convection, hydrodynamics, methods: numerical, stars: neutron, X-rays: bursts},
year = 2011,
month = feb,
volume = 728,
eid = {118},
pages = {118},
doi = {10.1088/0004-637X/728/2/118},
adsurl = {http://adsabs.harvard.edu/abs/2011ApJ...728..118M},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{hse,
author = {{Zingale}, M. and {Dursi}, L.~J. and {ZuHone}, J. and {Calder}, A.~C. and
{Fryxell}, B. and {Plewa}, T. and {Truran}, J.~W. and {Caceres}, A. and
{Olson}, K. and {Ricker}, P.~M. and {Riley}, K. and {Rosner}, R. and
{Siegel}, A. and {Timmes}, F.~X. and {Vladimirova}, N.},
title = "{Mapping Initial Hydrostatic Models in Godunov Codes}",
journal = APJ:sup,
eprint = {arXiv:astro-ph/0208031},
keywords = {Hydrodynamics, Methods: Numerical, Stellar Dynamics},
year = 2002,
month = dec,
volume = 143,
pages = {539-565},
doi = {10.1086/342754},
adsurl = {http://adsabs.harvard.edu/abs/2002ApJS..143..539Z},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{BDS,
author = {J. B. Bell and C. N. Dawson and G. R. Shubin},
title = {An unsplit, higher order {G}odunov method for scalar conservation l
aws in
multiple dimensions},
journal = JCP,
volume = {74},
year = {1988},
pages = {1-24}
}
@article{quadBDS,
author = {S. May and A. J. Nonaka and A. S. Almgren and J. B. Bell},
title = {An Unsplit, Higher Order {G}odunov Method Using Quadratic
Reconstruction for Advection in Multiple Dimensions},
year ={2011},
journal ="{Communications in Applied Mathematics and Computational Science}",
volume = 6,
number = 1
}
@Book{laney,
author = {C. B. Laney},
title = {Computational Gasdynamics},
publisher = {Cambridge},
year = {1998},
}
@ARTICLE{athena,
author = {{Stone}, J.~M. and {Gardiner}, T.~A. and {Teuben}, P. and {Hawley}, J.~F. and
{Simon}, J.~B.},
title = "{Athena: A New Code for Astrophysical MHD}",
journal = {Astrophys J Suppl S},
archivePrefix = "arXiv",
eprint = {0804.0402},
keywords = {Hydrodynamics, Magnetohydrodynamics: MHD, Methods: Numerical},
year = 2008,
month = sep,
volume = 178,
pages = {137-177},
doi = {10.1086/588755},
adsurl = {http://adsabs.harvard.edu/abs/2008ApJS..178..137S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{colellasekora,
author = {{Colella}, P. and {Sekora}, M.~D.},
title = "{A limiter for PPM that preserves accuracy at smooth extrema}",
journal = JCP,
year = 2008,
month = jul,
volume = 227,
pages = {7069-7076},
doi = {10.1016/j.jcp.2008.03.034},
adsurl = {http://adsabs.harvard.edu/abs/2008JCoPh.227.7069C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@Article{berger-colella,
author = {M. J. Berger and P. Colella},
title = {Local Adaptive Mesh Refinement for Shock Hydrodynamics},
journal = JCP,
volume = {82},
number = {1},
pages = {64--84},
month = May,
year = {1989},
}
@article{goldberg:1991,
author = {David Goldberg},
title = {What Every Computer Scientist Should Know About Floating Point Arithmetic},
journal = {ACM Computing Surveys},
year = {1991},
volume = {23},
number = {1},
pages = {5--48}
}
@article{strang,
jstor_articletype = {research-article},
title = {On the Construction and Comparison of Difference Schemes},
author = {Strang, G.},
journal = {SIAM Journal on Numerical Analysis},
jstor_issuetitle = {},
volume = {5},
number = {3},
jstor_formatteddate = {Sep., 1968},
pages = {pp. 506-517},
url = {http://www.jstor.org/stable/2949700},
ISSN = {00361429},
abstract = {},
language = {English},
year = {1968},
publisher = {Society for Industrial and Applied Mathematics},
copyright = {Copyright © 1968 Society for Industrial and Applied Mathematics},
}
@ARTICLE{ABRZ:I,
author = {A. S. Almgren and J. B. Bell and C. A. Rendleman and M. Zingale},
title = "{Low Mach Number Modeling of Type Ia Supernovae. I. Hydrodynamics}",
journal = APJ,
year = 2006,
volume = 637,
pages = {922-936},
month = feb
}
@ARTICLE{ABRZ:II,
author = {A. S. Almgren and J. B. Bell and C. A. Rendleman and M. Zingale},
title = "{Low Mach Number Modeling of Type Ia Supernovae. II. Energy Evolution}",
journal = APJ,
year = 2006,
volume = 649,
pages = {927-938},
month = oct
}
@ARTICLE{ABNZ:III,
author = {{Almgren}, A.~S. and {Bell}, J.~B. and {Nonaka}, A. and
{Zingale}, M.},
title = "{Low Mach Number Modeling of Type Ia Supernovae. III. Reactions}",
journal = APJ,
year = 2008,
volume = 684,
pages = {449-470},
doi = {10.1086/590321},
adsurl = {http://adsabs.harvard.edu/abs/2008ApJ...684..449A},
}
@ARTICLE{SPH,
author = {{Monaghan}, J.~J.},
title = "{An introduction to SPH}",
journal = {Computer Physics Communications},
year = 1988,
month = jan,
volume = 48,
pages = {89-96},
doi = {10.1016/0010-4655(88)90026-4},
adsurl = {http://adsabs.harvard.edu/abs/1988CoPhC..48...89M},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{arepo,
author = {{Springel}, V.},
title = "{E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh}",
journal = MNRAS,
archivePrefix = "arXiv",
eprint = {0901.4107},
primaryClass = "astro-ph.CO",
keywords = {methods: numerical, galaxies: interactions, cosmology: dark matter},
year = 2010,
month = jan,
volume = 401,
pages = {791-851},
doi = {10.1111/j.1365-2966.2009.15715.x},
adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.401..791S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{schulz-rinne:1993,
author = {{Schulz-Rinne}, C.~W. and {Collins}, J.~P. and {Glaz}, H.~M.},
title = "{Numerical Solution of the Riemann Problem for Two-Dimensional
Gas Dynamics}",
journal = {SIAM J Sci Comput},
volume = {14},
number = {6},
year = {1993},
pages = {1394-1414}
}
@ARTICLE{pyro,
author = {{Zingale}, M.},
title = "{\pyro: A teaching code for computational astrophysical hydrodynamics}",
journal = {Astronomy and Computing},
year = 2014,
note = "accepted for publication"
}
@ARTICLE{byrnehindmarsh,
author = {{Byrne}, G.~D. and {Hindmarsh}, A.~C.},
title = "{Stiff ODE Solvers: A Review of Current and Coming Attractions}",
year = 1986,
journal = {UCRL-94297 Preprint}
}
@ARTICLE{almgren:2000,
AUTHOR = {A. Almgren},
TITLE = {A New Look at the Pseudo-incompressible Solution to
{L}amb's problem of Hydrostatic Adjustment},
JOURNAL = JAS,
VOLUME = {57},
MONTH = Apr,
YEAR = {2000},
PAGES = {995--998}
}
@ARTICLE{KP:2012,
author = {Rupert Klein and Olivier Pauluis},
title = {Thermodynamic Consistency of a Pseudoincompressible Approximation for General Equations of State},
journal = JAS,
month = {March},
year = 2012
}
@ARTICLE{VLBWZ:2013,
author = {Geoffrey M. Vasil and Daniel Lecoanet and Benjamin P. Brown and Toby S. Wood and Ellen G. Zweibel},
title = {Energy Conservation and Gravity Waves in Sound-proof Treatments of Stellar Interiors. II.
Lagrangian Constrained Analysis},
journal = APJ,
volume = 773,
pages = {169-},
year = 2013
}
@ARTICLE{multilevel,
author = {A. Nonaka and A. S. Almgren and J. B. Bell and M. J. Lijewski and C. M. Malone and M. Zingale},
title = {{\tt MAESTRO}: An Adaptive Low Mach Number Hydrodynamics Algorithm for Stellar Flows},
journal = APJ:sup,
year = {2010},
volume = {188},
pages = {358-383},
}
@ARTICLE{mccorquodalecolella,
author = {{McCorquodale}, P. and {Colella}, P.},
title = "{A high-order finite-volume method for conservation laws on
locally refined grids}",
journal = {Communication in Applied Mathematics and Computational Science},
year = {2011},
volume = {6},
number = {1},
pages = {1--25}
}
@ARTICLE{timmes_networks,
author = {{Timmes}, F.~X.},
title = "{Integration of Nuclear Reaction Networks for Stellar Hydrodynamics}",
journal = APJ:sup,
keywords = {HYDRODYNAMICS, METHODS: NUMERICAL, NUCLEAR REACTIONS, NUCLEOSYNTHESIS, ABUNDANCES, STARS: INTERIORS, Hydrodynamics, Methods: Numerical, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: Interiors},
year = 1999,
month = sep,
volume = 124,
pages = {241-263},
doi = {10.1086/313257},
adsurl = {http://adsabs.harvard.edu/abs/1999ApJS..124..241T},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@BOOK{HKT,
author = {{Hansen}, C.~J. and {Kawaler}, S.~D. and {Trimble}, V.},
title = "{Stellar interiors : physical principles, structure, and evolution}",
keywords = {STELLAR INTERIORS, STELLAR STRUCTURE, STELLAR EVOLUTION},
ooktitle = {Stellar interiors : physical principles, structure, and evolution, 2nd ed., by C.J.~Hansen, S.D.~Kawaler, and V.~Trimble.~New York: Springer-Verlag, 2004.},
year = 2004,
adsurl = {http://adsabs.harvard.edu/abs/2004sipp.book.....H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@Book{pang,
author = {{Pang}, T.},
title = {An Introduction to Computational Physics, 2nd Edition},
publisher = {Cambridge},
year = {2006}
}
@article{vladimirova2006,
author = { Natalia Vladimirova and V.~Gregory Weirs and Lenya Ryzhik},
title = "{Flame capturing with an advection-reaction-diffusion model}",
journal = {Combustion Theory and Modelling},
volume = {10},
number = {5},
pages = {727-747},
year = {2006},
doi = {10.1080/13647830500464146},
URL = {http://dx.doi.org/10.1080/13647830500464146},
eprint = {http://dx.doi.org/10.1080/13647830500464146}
}
@Book{cg,
author = {J. P. Cox and R. T. Giuli},
title = {Principles of Stellar Structure},
publisher = {Cambridge University Press},
year = {1968},
OPTkey = {},
volume = {1},
OPTnumber = {},
OPTseries = {},
OPTaddress = {},
OPTedition = {},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}
@article{titarevtoro,
title = "Finite-volume \{WENO\} schemes for three-dimensional conservation laws ",
journal = "Journal of Computational Physics ",
volume = "201",
number = "1",
pages = "238 - 260",
year = "2004",
note = "",
issn = "0021-9991",
doi = "http://dx.doi.org/10.1016/j.jcp.2004.05.015",
url = "http://www.sciencedirect.com/science/article/pii/S0021999104002281",
author = "V.A. Titarev and E.F. Toro",
keywords = "High-order schemes",
keywords = "Weighted essentially non-oscillatory",
keywords = "HLLC flux",
keywords = "FORCE flux",
keywords = "MUSTA flux",
keywords = "Two and three space dimensions ",
abstract = "In this paper we firstly carry out an extension of the
finite-volume \{WENO\} schemes to three space
dimensions and higher orders of accuracy. Secondly,
we propose to use more accurate fluxes as the
building block. These are the \{HLLC\} and \{MUSTA\}
fluxes [Multi-stage predictor–corrector fluxes for
hyperbolic equations, 2003; Restoration of the
contact surface in the \{HLL\} Riemann solver,
Report CoA 9204, June 1992; J. Shock Waves 4 (1994)
25]. The numerical results suggest that the new
WENO-HLLC and WENO-MUSTA schemes compare
satisfactorily with the state-of-the-art
finite-volume scheme of Shi et
al. [J. Comput. Phys. 175 (2002) 108]. "
}
@ARTICLE{sod:1978,
author = {{Sod}, G.~A.},
title = "{A survey of several finite difference methods for systems of nonlinear hyperbolic conservation la\
ws}",
journal = JCP,
year = 1978,
month = apr,
volume = 27,
pages = {1-31},
doi = {10.1016/0021-9991(78)90023-2},
adsurl = {http://adsabs.harvard.edu/abs/1978JCoPh..27....1S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{godunov:1959,
author = {S.~K.~Godunov},
title = {A~difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics},
journal = {Mat. Sb. (N.S.)},
year = 1959,
volume = {47(89)},
issue = {3},
pages = {271--306}
}
@ARTICLE{frenk:1999,
author = {{Frenk}, C.~S. and {White}, S.~D.~M. and {Bode}, P. and
{Bond}, J.~R. and {Bryan}, G.~L. and {Cen}, R. and
{Couchman}, H.~M.~P. and {Evrard}, A.~E. and
{Gnedin}, N. and {Jenkins}, A. and {Khokhlov},
A.~M. and {Klypin}, A. and {Navarro}, J.~F. and
{Norman}, M.~L. and {Ostriker}, J.~P. and {Owen},
J.~M. and {Pearce}, F.~R. and {Pen}, U.-L. and
{Steinmetz}, M. and {Thomas}, P.~A. and {Villumsen},
J.~V. and {Wadsley}, J.~W. and {Warren}, M.~S. and
{Xu}, G. and {Yepes}, G.},
title = "{The Santa Barbara Cluster Comparison Project: A Comparison of Cosmological Hydrodynamics Solutions}",
journal = APJ,
eprint = {astro-ph/9906160},
keywords = {COSMOLOGY: THEORY, COSMOLOGY: DARK MATTER, GALAXIES: CLUSTERS: GENERAL, COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE, X-RAYS: GALAXIES, Cosmology: Theory, Cosmology: Dark Matter, Galaxies: Clusters: General, Cosmology: Large-Scale Structure of Universe, X-Rays: Galaxies},
year = 1999,
month = nov,
volume = 525,
pages = {554-582},
doi = {10.1086/307908},
adsurl = {http://adsabs.harvard.edu/abs/1999ApJ...525..554F},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{dimonte:2004,
author = {{Dimonte}, G. and {Youngs}, D.~L. and {Dimits}, A. and {Weber}, S. and
{Marinak}, M. and {Wunsch}, S. and {Garasi}, C. and {Robinson}, A. and
{Andrews}, M.~J. and {Ramaprabhu}, P. and {Calder}, A.~C. and
{Fryxell}, B. and {Biello}, J. and {Dursi}, L. and {MacNeice}, P. and
{Olson}, K. and {Ricker}, P. and {Rosner}, R. and {Timmes}, F. and
{Tufo}, H. and {Young}, Y.-N. and {Zingale}, M.},
title = "{A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration}",
journal = {Physics of Fluids},
keywords = {Interfacial instabilities},
year = 2004,
month = may,
volume = 16,
pages = {1668-1693},
doi = {10.1063/1.1688328},
adsurl = {http://adsabs.harvard.edu/abs/2004PhFl...16.1668D},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{devalborro:2006,
author = {{de Val-Borro}, M. and {Edgar}, R.~G. and {Artymowicz}, P. and
{Ciecielag}, P. and {Cresswell}, P. and {D'Angelo}, G. and {Delgado-Donate}, E.~J. and
{Dirksen}, G. and {Fromang}, S. and {Gawryszczak}, A. and {Klahr}, H. and
{Kley}, W. and {Lyra}, W. and {Masset}, F. and {Mellema}, G. and
{Nelson}, R.~P. and {Paardekooper}, S.-J. and {Peplinski}, A. and
{Pierens}, A. and {Plewa}, T. and {Rice}, K. and {Sch{\"a}fer}, C. and
{Speith}, R.},
title = "{A comparative study of disc-planet interaction}",
journal = MNRAS,
eprint = {astro-ph/0605237},
keywords = {accretion, accretion discs: hydrodynamics: planets and satellites: general, accretion discs, hydrodynamics, planets and satellites: general},
year = 2006,
month = aug,
volume = 370,
pages = {529-558},
doi = {10.1111/j.1365-2966.2006.10488.x},
adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.370..529D},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{Zhang:2006,
author = {{Zhang}, W. and {MacFadyen}, A.~I.},
title = "{RAM: A Relativistic Adaptive Mesh Refinement Hydrodynamics Code}",
journal = {APJS},
eprint = {astro-ph/0505481},
keywords = {Hydrodynamics, Methods: Numerical, Relativity},
year = 2006,
month = may,
volume = 164,
pages = {255-279},
doi = {10.1086/500792},
adsurl = {http://adsabs.harvard.edu/abs/2006ApJS..164..255Z},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@BOOK{shu,
author = {{Shu}, F.~H.},
title = "{Physics of Astrophysics, Vol. II}",
keywords = {GAS DYNAMICS, FLUID DYNAMICS, MAGNETOHYDRODYNAMICS, PLASMA PHYSICS, SHOCKS},
booktitle = {Physics of Astrophysics, Vol.~II, by Frank H.~Shu.~Published by University Science Books, ISBN 0-935702-65-2, 476pp, 1992.},
year = 1992,
publisher = {University Science Books},
adsurl = {http://adsabs.harvard.edu/abs/1992phas.book.....S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@BOOK{choudhuri,
author = {{Choudhuri}, A.~R.},
title = "{The physics of fluids and plasmas : an introduction for astrophysicists /}",
booktitle = {Philosophy and Foundations of Physics},
year = 1998,
month = nov,
adsurl = {http://adsabs.harvard.edu/abs/1998pfp..book.....C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{schmidt:2014,
author = {{Schmidt}, W.},
title = "{Large Eddy Simulations in Astrophysics}",
journal = {Living Reviews in Computational Astrophysics},
archivePrefix = "arXiv",
eprint = {1404.2483},
keywords = {Turbulence, Large eddy simulations (LES)},
year = 2015,
month = dec,
volume = 1,
eid = {2},
pages = {2},
doi = {10.1007/lrca-2015-2},
adsurl = {http://adsabs.harvard.edu/abs/2015LRCA....1....2S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{aspden:2008,
author = {{Aspden}, A. and {Nikiforakis}, N. and {Dalziel}, S. and {Bell}, J.~B.},
title = "{Analysis of implicit LES methods}",
journal = {Communications in Applied Mathematics and Computational Science},
year = {2008},
volume = {3},
number = {1},
pages = {103--126}
}
@ARTICLE{timmeswoosley,
author = {{Timmes}, F.~X. and {Woosley}, S.~E.},
title = "{The conductive propagation of nuclear flames. I - Degenerate C + O and O + NE + MG white dwarfs}",
journal = APJ,
keywords = {Degenerate Matter, Neutron Stars, Nuclear Fusion, Radiation Transport, Stellar Interiors, White Dwarf Stars, Computational Grids, Conductive Heat Transfer, Fractals, Gravitational Collapse, Reaction Kinetics, Supernovae},
year = 1992,
month = sep,
volume = 396,
pages = {649-667},
doi = {10.1086/171746},
adsurl = {http://adsabs.harvard.edu/abs/1992ApJ...396..649T},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{SNrt,
author = {{Bell}, J.~B. and {Day}, M.~S. and {Rendleman}, C.~A. and {Woosley}, S.~E. and
{Zingale}, M.},
title = "{Direct Numerical Simulations of Type Ia Supernovae Flames. II. The Rayleigh-Taylor Instability}",
journal = APJ,
eprint = {astro-ph/0401247},
keywords = {Conduction, Hydrodynamics, Methods: Numerical, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: Supernovae: General, Stars: White Dwarfs},
year = 2004,
month = jun,
volume = 608,
pages = {883-906},
doi = {10.1086/420841},
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...608..883B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{shuosher:1989b,
author = {{Shu}, C.-W. and {Osher}, S.},
title = "{Efficient implementation of essentially non-oscillatory shock-capturing schemes II}",
journal = JCP,
year = 1989,
volume = 83,
pages = {32--78}
}
@ARTICLE{flash,
author = {{Fryxell}, B. and {Olson}, K. and {Ricker}, P. and {Timmes}, F.~X. and
{Zingale}, M. and {Lamb}, D.~Q. and {MacNeice}, P. and {Rosner}, R. and
{Truran}, J.~W. and {Tufo}, H.},
title = "{FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes}",
journal = APJ:sup,
keywords = {Equation of State, Hydrodynamics, Methods: Numerical, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: General},
year = 2000,
month = nov,
volume = 131,
pages = {273-334},
doi = {10.1086/317361},
adsurl = {http://adsabs.harvard.edu/abs/2000ApJS..131..273F},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{zingalekatz,
author = {{Zingale}, M. and {Katz}, M.~P.},
title = "{On the Piecewise Parabolic Method for Compressible Flow With Stellar Equations of State}",
journal = APJ:sup,
archivePrefix = "arXiv",
eprint = {1501.01923},
primaryClass = "astro-ph.IM",
keywords = {hydrodynamics, methods: numerical},
year = 2015,
month = feb,
volume = 216,
eid = {31},
pages = {31},
doi = {10.1088/0067-0049/216/2/31},
adsurl = {http://adsabs.harvard.edu/abs/2015ApJS..216...31Z},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@BOOK{richtmyermorton,
author = {{Richtmyer}, R.~D. and {Morton}, K.~W.},
title = "{Different Methods for Initial-Value Problems}",
year = {1994},
publisher = {Krieger Publishing Company},
edition = {2nd}
}
@book{sedov:1959,
author="{Sedov}, L.~I.",
title="Similarity and Dimensional Methods in Mechanics",
publisher="Academic Press",
year="1959",
note="translated from the 4th Russian Ed."
}
@ARTICLE{gottliebshu:1996,
author = {{Gottlieb}, S. and {Shu}, C.-W.},
title="{Total Variation Diminishing Runge-Kutta Schemes}",
journal = "{ICASE Report No.\ 96-50, NASA Langley Research Center}",
year={1996},
month={July}
}
@ARTICLE{twodturbulence,
author = {{Boffetta}, G. and {Ecke}, R.~E.},
title = "{Two-Dimensional Turbulence}",
journal = {Annual Review of Fluid Mechanics},
year = 2012,
month = jan,
volume = 44,
pages = {427-451},
doi = {10.1146/annurev-fluid-120710-101240},
adsurl = {http://adsabs.harvard.edu/abs/2012AnRFM..44..427B},