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Current Trends in Relativistic Astrophysics pp 113–129Cite as

Numerical Relativistic Hydrodynamics

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Part of the book series: Lecture Notes in Physics ((LNP,volume 617))

Abstract

High Resolution Shock Capturing (HRSC) techniques achieve highly accurate numerical approximations (formally second order or better) in smooth regions of the flow, and capture the motion of unresolved steep gradients without creating spurious oscillations. I will show how these techniques have been extended to relativistic hydrodynamics, making it possible to explore some challenging astrophysical scenarios. I will review recent literature concerning the main properties of different special relativistic Riemann solvers, and discuss several test problems which are commonly used to evaluate the performance of numerical methods in relativistic hydrodynamics. In the second part, I will illustrate the use of HRSC methods in various astrophysical applications, where special and general relativistic hydrodynamical processes play a crucial role, such as: relativistic extragalactic jets, accretion onto compact objects, models of formation of Gamma-Ray Bursts, and stellar core collapse.

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Authors and Affiliations

  1. Departamento de Astronomía y Astrofísica, Universidad de Valencia, Edificio de Investigación, C/ Dr. Moliner, s/n, 46100, Burjassot, Spain

    José María Ibáñez

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  1. José María Ibáñez
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Editors and Affiliations

  1. E.T.S.I.Navales, Universidad Politécnica de Madrid, Arco de la Victoria s/n, 28040, Madrid, Spain

    Leonardo Fernández-Jambrina

  2. Fac. Ciencias Físicas, Universidad Compluense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain

    Luis Manuel González-Romero

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Ibáñez, J.M. (2003). Numerical Relativistic Hydrodynamics. In: Fernández-Jambrina, L., González-Romero, L.M. (eds) Current Trends in Relativistic Astrophysics. Lecture Notes in Physics, vol 617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36973-2_6

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  • DOI: https://doi.org/10.1007/3-540-36973-2_6

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