Qualitative Properties of the Collisional Model for Describing Shock-Wave Dynamics in Gas Suspensions
- Authors: Fedorov A.V.1, Khmel T.A.1
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Affiliations:
- Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences
- Issue: Vol 11, No 5 (2019)
- Pages: 818-830
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203657
- DOI: https://doi.org/10.1134/S2070048219050077
- ID: 203657
Cite item
Abstract
A The paper presents theoretical analysis of a two-phase medium model for describing shock-wave processes in dense gas particle mixtures, taking into account the chaotic motion and collisions of particles. Hyperbolicity regions and composite-type domains are identified in the governing system of equations. It is shown that the hyperbolicity region expands beyond the collisionless model. An approximate hyperbolized model is presented. Numerical solutions of the problem on the development of various shock-wave structure types are compared. The convergence properties in numerical simulations of non-conservative composite-type equations were established using the Harten and Gentry–Martin–Daly schemes. The conditions of the hyperbolized model applicability to different types of flows are obtained. It is shown that, in the general case, shock-wave processes in gas suspensions should preferably be analyzed within a complete model.
About the authors
A. V. Fedorov
Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: khmel@itam.nsc.ru
Russian Federation, Novosibirsk
T. A. Khmel
Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences
Email: khmel@itam.nsc.ru
Russian Federation, Novosibirsk