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Time-dependent regularised 13-moment equations with Onsager boundary conditions in the linear regime

Published online by Cambridge University Press:  28 April 2025

Bo Lin ,
Haoxuan Wang ,
Siyao Yang Open the ORCID record for Siyao Yang [Opens in a new window]  and
Zhenning Cai Open the ORCID record for Zhenning Cai [Opens in a new window]
Bo Lin
Affiliation:
Beijing Huairou Laboratory, Beijing 101400, PR China Department of Mathematics, National University of Singapore, Singapore 119076, Republic of Singapore
Haoxuan Wang
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119076, Republic of Singapore
Siyao Yang*
Affiliation:
Committee on Computational and Applied Mathematics, Department of Statistics, University of Chicago, Chicago, IL 60637, USA
Zhenning Cai
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119076, Republic of Singapore
*
Corresponding author: Siyao Yang, [email protected]
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Abstract

We develop the time-dependent regularised 13-moment equations for general elastic collision models under the linear regime. Detailed derivation shows the proposed equations have super-Burnett order for small Knudsen numbers, and the moment equations enjoy a symmetric structure. A new modification of Onsager boundary conditions is proposed to ensure stability as well as the removal of undesired boundary layers. Numerical examples of one-dimensional channel flows is conducted to verified our model.

JFM classification

Rarefied Gas Flow: Kinetic theory Boundary Layers: Boundary layer control
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1009 , 25 April 2025 , A60
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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