电邮这篇文章 REGULARIZED EQUATIONS FOR DYNAMICS OF THE HETEROGENEOUS BINARY MIXTURES OF THE NOBLE-ABEL STIFFENED-GASES AND THEIR APPLICATION
- 作者: Zlotnik A.1,2, Lomonosov T.1,2
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隶属关系:
- Higher School of Economics University
- Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- 期: 卷 514, 编号 1 (2023)
- 页面: 26-33
- 栏目: МАТЕМАТИКА
- URL: https://journals.rcsi.science/2686-9543/article/view/247080
- DOI: https://doi.org/10.31857/S2686954323600313
- EDN: https://elibrary.ru/DEJANK
- ID: 247080
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详细
We consider the so-called four-equation model for dynamics of the heterogeneous compressible binary mixtures with the Noble-Abel stiffened-gas equations of state. We exploit its quasi-homogeneous form arising after excluding the volume concentrations from the sought functions and based on a quadratic equation for the common pressure of the components. We present new properties of this equation and a simple formula for the squared speed of sound, suggest an alternative derivation for a formula relating it to the squared Wood speed of sound and state the pressure balance equation. For the first time, we give quasi-gasdynamic-type regularization of the heterogeneous model (in the quasi-homogeneous form), construct explicit two-level in time and symmetric three point in space finite-difference scheme without limiters to implement it in the 1D case and present numerical results.
作者简介
A. Zlotnik
Higher School of Economics University; Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: azlotnik@hse.ru
Russia, Moscow; Russia, Moscow
T. Lomonosov
Higher School of Economics University; Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: tlomonosov@hse.ru
Russia, Moscow; Russia, Moscow
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