This article is cited in 5 scientific papers (total in 5 papers)
The use of the piecewise parabolic method on a local stencil for
constructing a low dissipation of a numerical solution scheme for mathematical modeling
of special relativistic hydrodynamic flows
Abstract:
In this paper a new numerical method with a low-dissipation of a numerical solution, based on a combination of the Godunov method with the Roe scheme, and a piecewise parabolic method on a local stencil
is described. The construction of the numerical method is described in considerable detail, the method is
validated on the one-dimensional Riemann problem. The results of the numerical simulation of the collision
of two relativistic gas spheres are presented.
Key words:
numerical modeling, numerical methods of high accuracy order, special relativistic hydrodynamics.
Citation:
I. M. Kulikov, “The use of the piecewise parabolic method on a local stencil for
constructing a low dissipation of a numerical solution scheme for mathematical modeling
of special relativistic hydrodynamic flows”, Sib. Zh. Vychisl. Mat., 23:2 (2020), 143–154; Num. Anal. Appl., 13:2 (2020), 117–126
\Bibitem{Kul20}
\by I.~M.~Kulikov
\paper The use of the piecewise parabolic method on a local stencil for
constructing a low dissipation of a numerical solution scheme for mathematical modeling
of special relativistic hydrodynamic flows
\jour Sib. Zh. Vychisl. Mat.
\yr 2020
\vol 23
\issue 2
\pages 143--154
\mathnet{http://mi.mathnet.ru/sjvm739}
\crossref{https://doi.org/10.15372/SJNM20200200203}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 2
\pages 117--126
\crossref{https://doi.org/10.1134/S1995423920020032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000543438700003}
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https://www.mathnet.ru/eng/sjvm739
https://www.mathnet.ru/eng/sjvm/v23/i2/p143
This publication is cited in the following 5 articles:
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