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Regularized 13-moment equations for inverse power law models

Published online by Cambridge University Press:  06 May 2020

Zhenning Cai  and
Yanli Wang Open the ORCID record for Yanli Wang [Opens in a new window]
Zhenning Cai
Affiliation:
Department of Mathematics, National University of Singapore, Level 4, Block S17, 10 Lower Kent Ridge Road, Singapore119076
Yanli Wang*
Affiliation:
Beijing Computational Science Research Center, Beijing, China, 100193
*
†Email address for correspondence: wang_yanli@csrc.ac.cn
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Abstract

We propose a systematic methodology to derive the regularized 13-moment equations in the rarefied gas dynamics for a general class of linearized collision models. Detailed expressions of the moment equations are written down for all inverse power law models as well as the hard-sphere model. By linear analysis, we show that the equations are stable near the equilibrium. The models are tested for shock structure problems to show their capability to capture the correct flow structure in strong non-equilibrium.

JFM classification

Rarefied Gas Flow: Kinetic theory Mathematical Foundations: General fluid mechanics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 894 , 10 July 2020 , A12
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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