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On a Modification of the Rusanov Solver for the Equations of Special Relativistic Magnetic Hydrodynamics

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Abstract

We describe the implementation of a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics. The particularity of the relativistic hydrodynamics equations, including a magnetic field, is a natural constraint on the admissible wave propagation velocity, which allows us to construct a fairly simple modification of the Rusanov solver using the maximum wave propagation velocity equal to the speed of light.

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Funding

The author was supported by the Russian Science Foundation (project no. 18–11–00044).

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, Russia

    I. M. Kulikov

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  1. I. M. Kulikov
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Correspondence to I. M. Kulikov.

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Translated by L.B. Vertgeim

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Kulikov, I.M. On a Modification of the Rusanov Solver for the Equations of Special Relativistic Magnetic Hydrodynamics. J. Appl. Ind. Math. 14, 524–531 (2020). https://doi.org/10.1134/S1990478920030114

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