Approximation of the Boltzmann collision operator based on hermite spectral method

被引：24

作者：

Wang, Yanli ^{[1
]}

Cai, Zhenning ^{[2
]}

机构：

[1] Peking Univ, Dept Engn, Beijing 100871, Peoples R China

[2] Natl Univ Singapore, Dept Math, Level 4,Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2019年 / 397卷

基金：

中国国家自然科学基金;

关键词：

Boltzmann equation; Hermite spectral method; Inverse power law; KINETIC-THEORY; EQUATION; GAS; MODELS;

D O I：

10.1016/j.jcp.2019.07.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Based on the Hermite expansion of the distribution function, we introduce a Galerkin spectral method for the spatially homogeneous Boltzmann equation with the realistic inverse-power-law models. A practical algorithm is proposed to evaluate the coefficients in the spectral method with high accuracy, and these coefficients are also used to construct new computationally affordable collision models. Numerical experiments show that our method captures the low-order moments very efficiently. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：23

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