Deterministic computation of the Boltzmann transport equation with anisotropic scattering cross section

Author

Haack, J. ; Gamba, Irene M.

Author_Institution

Dept. of Math., Univ. of Texas at Austin, Austin, TX, USA

fYear

2013

fDate

16-21 June 2013

Firstpage

1

Lastpage

1

Abstract

Summary form only given. We present recent work extending the conservative spectral method for the Boltzmann transport equation developed by Gamba and Tharkabhushanam. This formulation is derived from the weak form of the Boltzmann equation, which represents the collisional term as a weighted convolution in Fourier space. We have extended the method to the case of anisotropic scattering cross sections and have investigated the grazing collisions limit of the Boltzmann equation with screened Coulomb potentials. We also present new results demonstating the method´s versatility by simulating collisions with Lennard-Jones and other similar intermolecular potentials.

Keywords

Boltzmann equation; Lennard-Jones potential; plasma collision processes; plasma transport processes; Boltzmann transport equation; Fourier space; Lennard-Jones potential; anisotropic scattering cross sections; collisional term; conservative spectral method; grazing collision limit; intermolecular potentials; screened Coulomb potentials; weak Boltzmann equation form; weighted convolution; Boltzmann equation; Convolution; Educational institutions; Scattering;

fLanguage

English

Publisher

ieee

Conference_Titel

Plasma Science (ICOPS), 2013 Abstracts IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

0730-9244

Type

conf

DOI

10.1109/PLASMA.2013.6633182

Filename

6633182