Galerkin-Petrov approach for the Boltzmann equation

被引：27
|
作者：
Gamba, Irene M.
Rjasanow, Sergej
机构：
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2018年 / 366卷
关键词：
Boltzmann equation; Spectral numerical method; Galerkin-Petrov approach; DISCRETE VELOCITY MODELS; FAST FOURIER-TRANSFORM; HARD-SPHERE MOLECULES; COLLISION OPERATOR; NUMERICAL-SOLUTION; DIFFERENCE SCHEME; SPECTRAL METHOD; KINETIC-MODELS; SHOCK-WAVES; APPROXIMATION;
D O I：
10.1016/j.jcp.2018.04.017
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this work, we propose a new Galerkin-Petrov method for the numerical solution of the classical spatially homogeneous Boltzmann equation. This method is based on an approximation of the distribution function by associated Laguerre polynomials and spherical harmonics and test in a variational manner with globally defined three-dimensional polynomials. A numerical realisation of the algorithm is presented. The algorithmic developments are illustrated with the help of several numerical tests. (C) 2018 Elsevier Inc. All rights reserved.
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页码：341 / 365
页数：25
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