Generalized and variational statements of the Riemann problem with applications to the development of Godunov's method

DOI10.1134/S0965542520040132zbMath1451.65120OpenAlexW3035499973MaRDI QIDQ2207543

I. S. Men'shov

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040132

zbMATH Keywords

computational fluid dynamicsgeneralized Riemann problemGodunov's methodgeneralized HLL and HLLC solutionsvariational Riemann problem

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for first-order hyperbolic equations (35L03)

Cites Work

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• Methods of increasing the accuracy in Godunov's scheme
• Increasing the order of approximation of Godunov's scheme using solutions of the generalized riemann problem

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