Using a combination of Godunov and Rusanov solvers based on the piecewise parabolic reconstruction of primitive variables for numerical simulation of supernovae Ia type explosion
type: Item
instance of: scholarly article
title: Using a combination of Godunov and Rusanov solvers based on the piecewise parabolic reconstruction of primitive variables for numerical simulation of supernovae Ia type explosion
zbMATH Open document ID: 1503.65203
DOI: 10.1134/S1995080222090153
author: Igor Kulikov
published in: Lobachevskii Journal of Mathematics
publication date: 2022-11-15T00:00:00Z
review text: A low-dissipation modification of Godunov's method has been described, verified, and investigated. This method is based on a multidimensional piecewise-parabolic representation of numerical solutions on a local stencil. In order to verify the method, classical hydrodynamic tests and a model problem of multi-ignition of a thermonuclear supernova explosion are used. The order of accuracy of the numerical method was studied for infinitely differentiable solutions. The efficiency of a parallel implementation of the numerical method is also investigated.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 85A05
Mathematics Subject Classification ID: 35Q85
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 85-08
zbMATH DE Number: 7617001
zbMATH Keywords: Godunov solver
zbMATH Keywords: hydrodynamic equation
zbMATH Keywords: computational astrophysics
zbMATH Keywords: low-dissipation modification
zbMATH Keywords: piecewise-parabolic representation
describes a project that uses: gooPhi
describes a project that uses: GPUPEGAS
describes a project that uses: HLLE
describes a project that uses: RIEMANN
MaRDI profile type: Publication
full work available at URL: s1995080222090153
OpenAlex ID: W4312848842
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