RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

REGULARIZED EQUATIONS FOR DYNAMICS OF THE HETEROGENEOUS BINARY MIXTURES OF THE NOBLE-ABEL STIFFENED-GASES AND THEIR APPLICATION

PII
10.31857/S2686954323600313-1
DOI
10.31857/S2686954323600313
Publication type
Status
Published
Authors
Volume/ Edition
Volume 514 / Issue number 1
Pages
26-33
Abstract
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.
Keywords
газовая динамика гетерогенная бинарная газовая смесь модель с четырьмя уравнениями “сжатый” газ Ноубла-Абеля квазигазодинамическая регуляризация явная по времени и симметричная по пространству схема
Date of publication
01.01.2023
Year of publication
2023
Number of purchasers
0
Views
41

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