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

共 50 条

[1] Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator
Cai, Zhenning
Torrilhon, Manuel
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 74 (01) : 336 - 374
[2] Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator
Zhenning Cai
Manuel Torrilhon
Journal of Scientific Computing, 2018, 74 : 336 - 374
[3] Hermite spectral and pseudospectral methods for numerical differentiation
Zhao, Zhenyu
Liu, Junfeng
APPLIED NUMERICAL MATHEMATICS, 2011, 61 (12) : 1322 - 1330
[4] Numerical simulation for gas microflows using Boltzmann equation
Morinishi, Koji
COMPUTERS & FLUIDS, 2006, 35 (8-9) : 978 - 985
[5] SPECTRAL METHODS IN NUMERICAL PLASMA SIMULATION
COUTSIAS, EA
HANSEN, FR
HULD, T
KNORR, G
LYNOV, JP
PHYSICA SCRIPTA, 1989, 40 (03): : 270 - 279
[6] Numerical simulation of mixed electroosmotic/pressure driven microflows
Dutta, P
Beskok, A
Warburton, TC
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2002, 41 (02) : 131 - 148
[7] NUMERICAL SIMULATION OF MICROFLOWS BY A DOM WITH STREAMING AND COLLISION PROCESSES
Yang, L. M.
Shu, C.
Wu, J.
PROCEEDINGS OF THE ASME 5TH INTERNATIONAL CONFERENCE ON MICRO/NANOSCALE HEAT AND MASS TRANSFER, 2016, VOL 2, 2016,
[8] Numerical Simulation of Plane Crack Using Hermite Cubic Spline Wavelet
Xiang, Jiawei
Wang, Yanxue
Jiang, Zhansi
Long, Jiangqi
Ma, Guang
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (01): : 1 - 15
[9] Adaptive Hermite spectral methods in unbounded domains
Chou, Tom
Shao, Sihong
Xia, Mingtao
APPLIED NUMERICAL MATHEMATICS, 2023, 183 : 201 - 220
[10] Numerical simulation of particulate processes for control and estimation by spectral methods
Bueck, Andreas
Klaunick, Guenter
Kumar, Jitendra
Peglow, Mirko
Tsotsas, Evangelos
AICHE JOURNAL, 2012, 58 (08) : 2309 - 2319

← 1 2 3 4 5 →