refs.bib

@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,
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@ARTICLE{almgren:2010,
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@ARTICLE{colella:1990,
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}


@ARTICLE{colella:1985,
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}


@ARTICLE{colellawoodward:1984,
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}


@ARTICLE{millercolella:2002,
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@Book{toro:1997,
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@book{leveque:2002,
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@book{leveque:fd,
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@ARTICLE{plewamuller:1999,
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}

@ARTICLE{bryan:1995,
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}


@book{multigridtutorial,
  author = {Briggs, W.~L. and Henson, V-E. and McCormick, S.~F.},
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@book{colellanotes,
  author = {Colella, P. and Puckett, E.~G.},
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}

@ARTICLE{BCG,
   author = {{Bell}, J.~B. and {Colella}, P. and {Glaz}, H.~M.},
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  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},
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        YEAR = {1968}
}

@ARTICLE{MartinColella,
   author = {{Martin}, D.~F. and {Colella}, P.},
    title = "{A Cell-Centered Adaptive Projection Method for the Incompressible Euler Equations}",
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  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},
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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
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  year    =      {2004},
  volume  =      {195},
  number  =      {2},
  pages   =      {677-694}
}

@Article{pember-flame,
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  title =        {An Adaptive Projection Method for Unsteady
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  year =         {1998},
}

@ARTICLE{DayBell:2000,
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 }

@ARTICLE{minion:1996,
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@ARTICLE{malone:2011,
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{Zingale}, M.},
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  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{hse,
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}


@ARTICLE{BDS,
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@Book{laney,
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@ARTICLE{athena,
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}

@ARTICLE{colellasekora,
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}

@Article{berger-colella,
  author =       {M. J. Berger and P. Colella},
  title =        {Local Adaptive Mesh Refinement for Shock Hydrodynamics},
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@article{strang,
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     jstor_issuetitle = {},
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     url = {http://www.jstor.org/stable/2949700},
     ISSN = {00361429},
     abstract = {},
     language = {English},
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     copyright = {Copyright © 1968 Society for Industrial and Applied Mathematics},
}

@ARTICLE{ABRZ:I,
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  journal = APJ,
     year = 2006,
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    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,
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   volume = 684,
    pages = {449-470},
      doi = {10.1086/590321},
   adsurl = {http://adsabs.harvard.edu/abs/2008ApJ...684..449A},
}


@ARTICLE{SPH,
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   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}",
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      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
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@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,
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@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}
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@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
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@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
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@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}
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@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,
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   volume = 124,
    pages = {241-263},
      doi = {10.1086/313257},
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  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},
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 }

@Book{pang,
  author = {{Pang}, T.},
  title = {An Introduction to Computational Physics, 2nd Edition},
  publisher = {Cambridge},
  year = {2006}
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@article{vladimirova2006,
author = { Natalia Vladimirova and V.~Gregory Weirs and Lenya Ryzhik},
title = "{Flame capturing with an advection-reaction-diffusion model}",
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volume = {10},
number = {5},
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}

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}

@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]. "
}

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