Hybrid approach to solving single-dimensional gas dynamics equations

 
PIIS023408790001170-1-1
DOI10.31857/S023408790001170-1
Publication type Article
Status Published
Authors
Affiliation: Keldysh Institute of Applied Mathematics of RAS
Address: Russian Federation
Affiliation: Keldysh Institute of Applied Mathematics of RAS
Address: Russian Federation
Journal nameMatematicheskoe modelirovanie
EditionVolume 30 Number 8
Pages17-31
Abstract

To solve one-dimensional gas dynamic problems, the hybrid approach is proposed, in which the entropy equation is solved instead of the energy equation in the isentropic flow domains of an ideal gas. The results of numerical calculations of some model problems obtained by the classical Godunov’s method and the algorithm based on the hybrid approach are compared.

Keywordsgasdynamic equations, Galerkin discontinuous method, boundary value problem, explicit numerical method, entropy and energy balance
Received25.09.2018
Publication date04.10.2018
Number of characters351
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