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Journal of Scientific Computing

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28-04-2017

Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator

Authors: Zhenning Cai, Manuel Torrilhon

Published in: Journal of Scientific Computing | Issue 1/2018

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Abstract

Hyperbolic moment equations based on Burnett’s expansion of the distribution function are derived for the Boltzmann equation with linearized collision operator. Boundary conditions are equipped for these models, and it is proven that the number of boundary conditions is correct for a large class of moment models. A new second-order numerical scheme is proposed for solving these moment equations, and the new method is suitable for both ordered- and full-moment theories. Numerical experiments are carried out for both one- and two-dimensional problems to show the performance of the moment methods.

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Title: Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator
Authors: Zhenning Cai
Manuel Torrilhon
Publication date: 28-04-2017
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2018
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0442-7

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