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Shock capturing methods in 1D numerical relativity

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Rotating Objects and Relativistic Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 423))

Abstract

A numerical code is presented which uses modern shock capturing methods to evolve spherically symmetric perfect fluid space-times. Harmonic slicing is used to ensure singularity avoidance, which is crucial in strong field situations. Some tests are presented, including an application to the stellar collapse problem.

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References

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  4. H.C. Yee:“A Class of High Resolution Explicit an Implicit Shock Capturing Methods”, in “Computational Fluid Dynamics”, Lectures given at the von Karman Institute for Fluid Dynamics, Belgium (1989)

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Author information

Authors and Affiliations

  1. Departament de Física, Universitat de les Illes Balears, E-07071, Palma de Mallorca, Spain

    C. Bona & J. Massó

  2. Departament de Física Teórica, Universitat de Valencia, Burjassot, 46100, Valéncia, Spain

    J.M. Ibáñez & J.M. Martí

Authors
  1. C. Bona
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  2. J.M. Ibáñez
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  3. J.M. Martí
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  4. J. Massó
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Editor information

F. J. Chinea L. M. González-Romero

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© 1993 Springer-Verlag

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Bona, C., Ibáñez, J., Martí, J., Massó, J. (1993). Shock capturing methods in 1D numerical relativity. In: Chinea, F.J., González-Romero, L.M. (eds) Rotating Objects and Relativistic Physics. Lecture Notes in Physics, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57364-X_216

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  • DOI: https://doi.org/10.1007/3-540-57364-X_216

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57364-7

  • Online ISBN: 978-3-540-48087-7

  • eBook Packages: Springer Book Archive

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