NUMERICAL SIMULATION OF MICROFLOWS USING HERMITE SPECTRAL METHODS

被引：14

作者：

Hu, Zhicheng ^{[1
]}

Cai, Zhenning ^{[2
]}

Wang, Yanli ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Coll Sci, Nanjing 210016, Peoples R China

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

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

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2020年 / 42卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Boltzmann equation; Hermite spectral method; microflow; BOLTZMANN COLLISION OPERATOR; REGULARIZED MOMENT METHOD; EQUATION; MODEL; SOLVER; SPHERE; ORDER;

D O I：

10.1137/18M120066X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model, we generalize a class of approximate quadratic collision operators defined in the normalized and dimensionless setting to operators for arbitrary distribution functions. An efficient algorithm with a fast transform is introduced to discretize the new collision operators. The method is tested for one- and two-dimensional benchmark microflow problems.

引用

页码：B105 / B134

页数：30

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