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Mathematical Models and Computer Simulations

Erschienen in:

01.02.2023

Implicit-Explicit Bicompact Schemes for Hyperbolic Systems of Conservation Laws

verfasst von: M. D. Bragin

Erschienen in: Mathematical Models and Computer Simulations | Ausgabe 1/2023

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Abstract

High-order bicompact schemes for hyperbolic systems of conservation laws are considered. We aim to significantly speed up these schemes. Implicit-explicit Runge–Kutta methods are proposed for time discretization, instead of the previously used diagonally implicit methods. The global Lax–Friedrichs–Rusanov flux splitting is a premise for the implicit-explicit approximation. It is shown that implicit-explicit bicompact schemes are stable for any ratio of steps in time and space. The accuracy of the new implicit-explicit schemes and the substantial speed-up achieved are demonstrated on multidimensional gas dynamics problems.

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Titel: Implicit-Explicit Bicompact Schemes for Hyperbolic Systems of Conservation Laws
verfasst von: M. D. Bragin
Publikationsdatum: 01.02.2023
Verlag: Pleiades Publishing
Erschienen in: Mathematical Models and Computer Simulations / Ausgabe 1/2023
Print ISSN: 2070-0482
Elektronische ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223010064

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