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Numerical Regularized Moment Method For High Mach Number Flow

Published online by Cambridge University Press:  20 August 2015

Zhenning Cai ,
Ruo Li  and
Yanli Wang
Zhenning Cai*
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China
Ruo Li
Affiliation:
CAPT, LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China
Yanli Wang
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China
*
Corresponding author.Email:caizn@pku.edu.cn
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Abstract

This paper is a continuation of our earlier work [SIAM J. Sci. Comput., 32(2010), pp. 2875-2907] in which a numerical moment method with arbitrary order of moments was presented. However, the computation may break down during the calculation of the structure of a shock wave with Mach number M0 ≥ 3. In this paper, we concentrate on the regularization of the moment systems. First, we apply the Maxwell iteration to the infinite moment system and determine the magnitude of each moment with respect to the Knudsen number. After that, we obtain the approximation of high order moments and close the moment systems by dropping some high-order terms. Linearization is then performed to obtain a very simple regularization term, thus it is very convenient for numerical implementation. To validate the new regularization, the shock structures of low order systems are computed with different shock Mach numbers.

Keywords

65M0865M12Boltzmann-BGK equationMaxwellian iterationregularized moment equations
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 5 , May 2012 , pp. 1415 - 1438
Copyright
Copyright © Global Science Press Limited 2012

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