THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics

D. Radice; L. Rezzolla

doi:10.1051/0004-6361/201219735

Free Access

Issue		A&A Volume 547, November 2012


Article Number		A26
Number of page(s)		21
Section		Numerical methods and codes
DOI		https://doi.org/10.1051/0004-6361/201219735
Published online		22 October 2012

Agertz, O., Moore, B., Stadel, J., et al. 2007, MNRAS, 380, 963 [NASA ADS] [CrossRef] [Google Scholar]
Aloy, M. A., & Rezzolla, L. 2006, ApJ, 640, L115 [NASA ADS] [CrossRef] [Google Scholar]
Aloy, M. A., Pons, J. A., & Ibáñez, J. M. 1999, Comput. Phys. Commun., 120, 115 [NASA ADS] [CrossRef] [Google Scholar]
Anile, A. M. 1990, Relativistic Fluids and Magneto-fluids (Cambridge University Press) [Google Scholar]
Antón, L., Zanotti, O., Miralles, J. A., et al. 2006, ApJ, 637, 296 [NASA ADS] [CrossRef] [Google Scholar]
Baiotti, L., Hawke, I., Montero, P., & Rezzolla, L. 2003, in Computational Astrophysics in Italy: Methods and Tools, ed. R. Capuzzo-Dolcetta, 1 (Trieste: MSAIt), 210 [Google Scholar]
Baiotti, L., Hawke, I., Montero, P. J., et al. 2005, Phys. Rev. D, 71, 024035 [NASA ADS] [CrossRef] [Google Scholar]
Baiotti, L., Giacomazzo, B., & Rezzolla, L. 2008, Phys. Rev. D, 78, 084033 [NASA ADS] [CrossRef] [Google Scholar]
Baiotti, L., Giacomazzo, B., & Rezzolla, L. 2009, Class. Quant. Grav., 26, 114005 [NASA ADS] [CrossRef] [Google Scholar]
Baiotti, L., Damour, T., Giacomazzo, B., Nagar, A., & Rezzolla, L. 2010, Phys. Rev. Lett., 105, 261101 [NASA ADS] [CrossRef] [PubMed] [Google Scholar]
Baiotti, L., Damour, T., Giacomazzo, B., Nagar, A., & Rezzolla, L. 2011, Phys. Rev. D, 84, 024017 [NASA ADS] [CrossRef] [Google Scholar]
Banyuls, F., Font, J. A., Ibáñez, J. M., Martí, J. M., & Miralles, J. A. 1997, ApJ, 476, 221 [NASA ADS] [CrossRef] [Google Scholar]
Beckwith, K., & Stone, J. M. 2011, ApJS, 193, 6 [NASA ADS] [CrossRef] [Google Scholar]
Bernuzzi, S., Nagar, A., Thierfelder, M., & Bruegmann, B. 2012a, Phys. Rev. D, 86, 044030 [NASA ADS] [CrossRef] [Google Scholar]
Bernuzzi, S., Thierfelder, M., & Brügmann, B. 2012b, Phys. Rev. D, 85, 104030 [NASA ADS] [CrossRef] [Google Scholar]
Bodo, G., Mignone, A., & Rosner, R. 2004, Phys. Rev. E, 70, 1 [NASA ADS] [CrossRef] [Google Scholar]
Bodo, G., Cattaneo, F., Ferrari, A., Mignone, A., & Rossi, P. 2011, ApJ, 739, 82 [NASA ADS] [CrossRef] [Google Scholar]
Brandenburg, A., & Nordlund, A. K. 2011, Rep. Prog. Phys., 74, 046901 [NASA ADS] [CrossRef] [Google Scholar]
Chiu, H. H. 1973, Phys. Fluids, 16, 825 [NASA ADS] [CrossRef] [Google Scholar]
Colella, P., & Woodward, P. R. 1984, J. Comput. Phys., 54, 174 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Del Zanna, L., Bucciantini, N., & Londrillo, P. 2003, A&A, 400, 397 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Del Zanna, L., Zanotti, O., Bucciantini, N., & Londrillo, P. 2007, A&A, 473, 11 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Donat, R., Font, J. A., Ibáñez, J. M., & Marquina, A. 1998, J. Comput. Phys., 146, 58 [NASA ADS] [CrossRef] [Google Scholar]
Duez, M. D., Liu, Y. T., Shapiro, S. L., & Stephens, B. C. 2005, Phys. Rev. D, 72, 024028 [NASA ADS] [CrossRef] [Google Scholar]
Duffell, P. C., & MacFadyen, A. I. 2011, ApJS, 197, 15 [NASA ADS] [CrossRef] [Google Scholar]
Dumbser, M., & Zanotti, O. 2009, J. Comput. Phys., 228, 6991 [NASA ADS] [CrossRef] [Google Scholar]
Eswaran, V., & Pope, S. 1988, Comput. Fluids, 16, 257 [NASA ADS] [CrossRef] [Google Scholar]
Farris, B. D., Li, T. K., Liu, Y. T., & Shapiro, S. L. 2008, Phys. Rev. D, 78, 024023 [NASA ADS] [CrossRef] [Google Scholar]
Font, J. A. 2008, Liv. Rev. Relativ., 6, 4 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Gammie, C. F., McKinney, J. C., & Tóth, G. 2003, ApJ, 589, 458 [NASA ADS] [CrossRef] [Google Scholar]
Giacomazzo, B., & Rezzolla, L. 2007, Class. Quant. Grav., 24, S235 [NASA ADS] [CrossRef] [Google Scholar]
Giacomazzo, B., Rezzolla, L., & Baiotti, L. 2009, MNRAS, 399, L164 [NASA ADS] [Google Scholar]
Goodale, T., Allen, G., Lanfermann, G., et al. 2003, in Vector and Parallel Processing – VECPAR’2002, 5th International Conference, Lecture Notes in Computer Science (Berlin: Springer) [Google Scholar]
Gottlieb, S., Ketcheson, D., & Shu, C.-W. 2009, J. Sci. Comput., 38, 251 [CrossRef] [Google Scholar]
Gourgoulhon, E. 1991, A&A, 252, 651 [NASA ADS] [Google Scholar]
Inoue, T., Asano, K., & Ioka, K. 2011, ApJ, 734, 77 [NASA ADS] [CrossRef] [Google Scholar]
Jiang, G.-S., & Shu, C.-W., L, I. 1996, J. Comput. Phys, 126, 202 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Johnsen, E., Larsson, J., Bhagatwala, A. V., et al. 2010, J. Comput. Phys., 229, 1213 [NASA ADS] [CrossRef] [Google Scholar]
Kastaun, W. 2006, Phys. Rev. D, 74, 124024 [NASA ADS] [CrossRef] [Google Scholar]
Kastaun, W. 2007, Ph.D. Thesis, University of Tübingen [Google Scholar]
Kitsionas, S., Federrath, C., Klessen, R. S., et al. 2009, A&A, 508, 541 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Koide, S., Shibata, K., & Kudoh, T. 1999, ApJ, 522, 727 [NASA ADS] [CrossRef] [Google Scholar]
Kolmogorov, A. N. 1991, Proc. Roy. Soc. A: Math. Phys. Engin. Sci., 434, 9 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Komissarov, S. S. 2004, MNRAS, 350, 1431 [NASA ADS] [CrossRef] [Google Scholar]
Konigl, A. 1980, Phys. Fluids, 23, 1083 [NASA ADS] [CrossRef] [Google Scholar]
Kulikovskii, A., Pogorelov, N., & Semenov, A. Y. 2001, Mathematical aspects of numerical solution of hyperbolic systems (Chapman & Hall/CRC) [Google Scholar]
Leveque, R. J. 1992, Numerical Methods for Conservation Laws (Basel: Birkhauser Verlag) [Google Scholar]
Liu, X.-D., Osher, S., & Chan, T. 1994, J. Comput. Phys., 115, 200 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Mann, P. 1985, J. Comput. Phys., 58, 377 [NASA ADS] [CrossRef] [Google Scholar]
Martí, J. M., & Müller, E. 2003, Liv. Rev. Relativ., 6, 7 [NASA ADS] [CrossRef] [Google Scholar]
Martí, J. M., Ibáñez, J. M., & Miralles, J. A. 1991, Phys. Rev. D, 43, 3794 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Martín, M. P., Taylor, E. M., Wu, M., & Weirs, V. G. 2006, J. Comput. Phys., 220, 270 [NASA ADS] [CrossRef] [Google Scholar]
May, M. M., & White, R. H. 1966, Phys. Rev., 141, 1232 [NASA ADS] [CrossRef] [Google Scholar]
McNally, C. P., Lyra, W., & Passy, J.-C. 2012, ApJS, 201, 18 [NASA ADS] [CrossRef] [Google Scholar]
Meier, D. L. 1999, ApJ, 518, 788 [NASA ADS] [CrossRef] [Google Scholar]
Mignone, A., Plewa, T., & Bodo, G. 2005, ApJS, 160, 199 [NASA ADS] [CrossRef] [Google Scholar]
Mignone, A., Ugliano, M., & Bodo, G. 2009, MNRAS, 393, 1141 [NASA ADS] [CrossRef] [Google Scholar]
Mignone, A., Tzeferacos, P., & Bodo, G. 2010, J. Comput. Phys., 229, 5896 [NASA ADS] [CrossRef] [Google Scholar]
Neilsen, D., Hirschmann, E. W., & Millward, R. S. 2006, Class. Quant. Grav., 23, S505 [NASA ADS] [CrossRef] [Google Scholar]
Noh, W. 1987, J. Comput. Phys., 72, 78 [NASA ADS] [CrossRef] [Google Scholar]
Obergaulinger, M., Aloy, M. A., & Müller, E. 2010, A&A, 515, A30 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Perucho, M., Hanasz, M., Martí, J.-M., & Miralles, J.-A. 2007, Phys. Rev. E, 75, 1 [NASA ADS] [CrossRef] [Google Scholar]
Perucho, M., Martí, J. M., Cela, J. M., et al. 2010, A&A, 519, A41 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
Plewa, T. & Mueller, E. 1999, A&A, 342, 179 [NASA ADS] [Google Scholar]
Pons, J. A., Martí, J. M., & Müller, E. 2000, J. Fluid Mech., 422, 125 [NASA ADS] [CrossRef] [Google Scholar]
Porter, D., Pouquet, A., & Woodward, P. 2002, Phys. Rev. E, 66, 1 [NASA ADS] [CrossRef] [Google Scholar]
Quirk, J. 1994, Int. J. Num. Meth. Fluids, 18, 555 [NASA ADS] [CrossRef] [Google Scholar]
Radice, D., & Rezzolla, L. 2011, Phys. Rev. D, 84, 024010 [NASA ADS] [CrossRef] [Google Scholar]
Rezzolla, L., & Zanotti, O. 2002, Phys. Rev. Lett., 89, 114501 [NASA ADS] [CrossRef] [PubMed] [Google Scholar]
Rezzolla, L., Zanotti, O., & Pons, J. A. 2003, J. Fluid Mech., 479, 199 [NASA ADS] [CrossRef] [Google Scholar]
Rezzolla, L., Giacomazzo, B., Baiotti, L., et al. 2011, ApJ, 732, L6 [NASA ADS] [CrossRef] [Google Scholar]
Rider, W. 2000, J. Comput. Phys., 162, 395 [NASA ADS] [CrossRef] [Google Scholar]
Roe, P. L. 1981, J. Comput. Phys., 43, 357 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Rosswog, S. 2010, J. Comput. Phys., 229, 8591 [NASA ADS] [CrossRef] [Google Scholar]
Schmidt, W., Hillebrandt, W., & Niemeyer, J. 2006, Comput. Fluids, 35, 353 [CrossRef] [Google Scholar]
Schneider, V., Katscher, U., Rischke, D. H., et al. 1993, J. Comput. Phys., 105, 92 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Sekiguchi, Y. 2010, Prog. Theor. Phys., 124, 331 [NASA ADS] [CrossRef] [Google Scholar]
Sekiguchi, Y., Kiuchi, K., Kyutoku, K., & Shibata, M. 2011, Phys. Rev. Lett., 107, 051102 [NASA ADS] [CrossRef] [PubMed] [Google Scholar]
Shu, C. 2007, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, 11, 47 [Google Scholar]
Shu, C. W. 1997, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, Lecture notes ICASE Report 97-65, NASA CR-97-206253, NASA Langley Research Center, http://techreports.larc.nasa.gov/icase/1997/icase-1997-65.pdf [Google Scholar]
Shu, C. W. 1999, in High-Order Methods for Computational Physics, eds. T. J. Barth, & H. Deconinck (Springer), 439 [Google Scholar]
Shu, C. W. 2001, High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD, Tech. Rep. ICASE Report 2001-11, NASA CR-2001-210865, NASA Langley Research Center [Google Scholar]
Shu, C. W., & Osher, S. J. 1988, J. Comput. Phys., 77, 439 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Siegler, S., & Riffert, H. 2000, ApJ, 531, 1053 [NASA ADS] [CrossRef] [Google Scholar]
Sod, G. A. 1978, J. Comput. Phys., 27, 1 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Springel, V. 2010, MNRAS, 401, 791 [NASA ADS] [CrossRef] [Google Scholar]
Suresh, A., & Huynh, H. T. 1997, J. Comput. Phys., 136, 83 [NASA ADS] [CrossRef] [Google Scholar]
Taylor, E. M., Wu, M., & Martín, M. P. 2007, J. Comput. Phys., 223, 384 [NASA ADS] [CrossRef] [Google Scholar]
Tchekhovskoy, A., McKinney, J. C., & Narayan, R. 2007, MNRAS, 379, 469 [NASA ADS] [CrossRef] [Google Scholar]
Toro, E. F. 1999, Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer-Verlag) [Google Scholar]
Wilson, J. R. 1972, ApJ, 173, 431 [NASA ADS] [CrossRef] [Google Scholar]
Woodward, P., & Collela, P. 1984, J. Comput. Phys., 54, 115 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
Yang, D. 2000, C++ and Object-Oriented Numeric Computing for Scientists and Engineers (Springer-Verlag) [Google Scholar]
Zanotti, O., Roedig, C., Rezzolla, L., & Del Zanna, L. 2011, MNRAS, 417, 2899 [NASA ADS] [CrossRef] [Google Scholar]
Zhang, W., & MacFadyen, A. 2006, ApJS, 164, 255 [NASA ADS] [CrossRef] [Google Scholar]
Zhang, W., MacFadyen, A., & Wang, P. 2009, ApJ, 692, L40 [NASA ADS] [CrossRef] [Google Scholar]
Zrake, J., & MacFadyen, A. I. 2012, ApJ, 744, 32 [NASA ADS] [CrossRef] [Google Scholar]

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