Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids

T. G. Elizarova; Елизарова Т. Г.; E. V. Shil’nikov; Шильников Е. В.

doi:10.31857/S0044466923070050

Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids

Authors: Elizarova T.G.¹, Shil’nikov E.V.¹
Affiliations:
1. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Issue: Vol 63, No 7 (2023)
Pages: 1193-1205
Section: Mathematical physics
URL: https://ruspoj.com/0044-4669/article/view/665018
DOI: https://doi.org/10.31857/S0044466923070050
EDN: https://elibrary.ru/ZXOZPY
ID: 665018

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Abstract

An elegant and easy-to-implement numerical algorithm for simulating flows of homogeneous gas mixtures with component temperatures and velocities assumed to be equal is constructed and tested. The algorithm yields monotone density profiles for the components even if their specific heat ratios are widely different. The algorithm can be used to simulate some flows of gas–liquid mixtures.

Keywords

homogeneous gas mixture, one-fluid approximation, finite-difference algorithm, regularized equations

About the authors

T. G. Elizarova

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: telizar@mail.ru
125047, Moscow, Russia

E. V. Shil’nikov

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Author for correspondence.
Email: shilnikov@imamod.ru
125047, Moscow, Russia

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