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@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}
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@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}
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@ARTICLE{colella:1990,
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}
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author = {{Colella}, P. and {Glaz}, H.~M.},
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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},
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@ARTICLE{colellawoodward:1984,
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}
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@book{colellanotes,
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@ARTICLE{BCG,
author = {{Bell}, J.~B. and {Colella}, P. and {Glaz}, H.~M.},
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}
@INPROCEEDINGS{BCH,
AUTHOR = {J. B. Bell and P. Colella and L. H. Howell},
TITLE = {An efficient second-order projection method
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YEAR = {1991},
BOOKTITLE = {Proceedings of the Tenth AIAA Computational
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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},
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VOLUME = {17},
NUMBER = {2},
MONTH = Mar,
JOURNAL = {SIAM J Sci Comput},
PAGES = {358--369}
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@ARTICLE{chorin:1968,
AUTHOR = {A. J. Chorin},
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YEAR = {1968}
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@ARTICLE{MartinColella,
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}
@TECHREPORT{rider,
author = {{Rider}, W.~J. },
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@ARTICLE{ABC,
author = {A. S. Almgren and J. B. Bell and W. Y. Crutchfield},
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note = "",
issn = "0021-9991",
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author = "Bell, J.~B. and Marcus, D.~L."
}
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author = {J.~B. Bell and M.~S. Day and C.~A. Rendleman and
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pages = {677-694}
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author={M. S. Day and J. B. Bell},
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pages={535-556},
year={2000}
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@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}",
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archivePrefix = "arXiv",
eprint = {1012.0609},
primaryClass = "astro-ph.HE",
keywords = {convection, hydrodynamics, methods: numerical, stars: neutron, X-rays: bursts},
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volume = 728,
eid = {118},
pages = {118},
doi = {10.1088/0004-637X/728/2/118},
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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}",
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eprint = {arXiv:astro-ph/0208031},
keywords = {Hydrodynamics, Methods: Numerical, Stellar Dynamics},
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month = dec,
volume = 143,
pages = {539-565},
doi = {10.1086/342754},
adsurl = {http://adsabs.harvard.edu/abs/2002ApJS..143..539Z},
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}
@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
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volume = {74},
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pages = {1-24}
}
@article{quadBDS,
author = {S. May and A. J. Nonaka and A. S. Almgren and J. B. Bell},
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number = 1
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@Book{laney,
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publisher = {Cambridge},
year = {1998},
}
@ARTICLE{athena,
author = {{Stone}, J.~M. and {Gardiner}, T.~A. and {Teuben}, P. and {Hawley}, J.~F. and
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abstract = {},
language = {English},
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year = "2004",
note = "",
issn = "0021-9991",
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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]. "
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@book{sedov:1959,
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@ARTICLE{gottliebshu:1996,
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@ARTICLE{twodturbulence,
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