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Mathematical Models and Computer Simulations

Erschienen in:

01.11.2021

Numerical Study of Two-Phase Hyperbolic Models

verfasst von: B. A. Korneev, R. R. Tukhvatullina, E. B. Savenkov

Erschienen in: Mathematical Models and Computer Simulations | Ausgabe 6/2021

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Abstract

This paper is devoted to the numerical study of a finite-volume scheme with an HLLEM flux for solving equations from the family of Baer-Nunziato models. Three versions of the model are considered, differing in the degree of “nonequilibrium.” A brief description of the models and their differences are provided. To approximate the equations of nonequilibrium models with stiff right-hand sides, describing the process of mechanical and thermodynamic relaxation, the method of splitting into physical processes is used. Spatial approximations are constructed using the 1st and 2nd (TVD) order finite volume method. The HLLEM flux is used as a numerical flux, for which a simple algorithm for determining the parameter of the method that guarantees the physicality of the solution is proposed. A feature of the study is that all three considered models are applied to analyze numerically the same physical setting.

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Titel: Numerical Study of Two-Phase Hyperbolic Models
verfasst von: B. A. Korneev
R. R. Tukhvatullina
E. B. Savenkov
Publikationsdatum: 01.11.2021
Verlag: Pleiades Publishing
Erschienen in: Mathematical Models and Computer Simulations / Ausgabe 6/2021
Print ISSN: 2070-0482
Elektronische ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048221060090

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