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.
Keywords:
computational astrophysics,
relativistic magnetic hydrodynamics, Rusanov solver.
.
Citation:
I. M. Kulikov, “On a modification of the Rusanov solver
for the equations of special relativistic
magnetic hydrodynamics”, Sib. Zh. Ind. Mat., 23:3 (2020), 53–64; J. Appl. Industr. Math., 14:3 (2020), 524–531
\Bibitem{Kul20}
\by I.~M.~Kulikov
\paper On a modification of the Rusanov solver
for the equations of special relativistic
magnetic hydrodynamics
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 3
\pages 53--64
\mathnet{http://mi.mathnet.ru/sjim1098}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.305}
\elib{https://elibrary.ru/item.asp?id=45181757}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 3
\pages 524--531
\crossref{https://doi.org/10.1134/S1990478920030114}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094676296}
Linking options:
https://www.mathnet.ru/eng/sjim1098
https://www.mathnet.ru/eng/sjim/v23/i3/p53
This publication is cited in the following 2 articles:
I. M. Kulikov, I. G. Chernykh, A. F. Sapetina, E. I. Vorobyov, V. G. Elbakyan, “On a Godunov-type numerical scheme for describing the gas and dust components in problems of star formation”, J. Appl. Industr. Math., 17:1 (2023), 110–119
Igor Kulikov, Igor Chernykh, Dmitry Karavaev, Vladimir Prigarin, Anna Sapetina, Ivan Ulyanichev, Oleg Zavyalov, “A New Parallel Code Based on a Simple Piecewise Parabolic Method for Numerical Modeling of Colliding Flows in Relativistic Hydrodynamics”, Mathematics, 10:11 (2022), 1865
Citation in format AMSBIB
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