@Article{dbt_mods_00012233,
author = {Babovsky Prof. Dr. rer. nat. habil., Hans},
title = {A numerical model for the Boltzmann equation with applications to micro flows},
journal = {Preprint / Technische Universit{\"a}t Ilmenau, Institut f{\"u}r Mathematik},
year = {2009},
month = {Jan},
day = {30},
address = {Ilmenau},
volume = {09-02},
keywords = {Boltzmann equation; numerical simulation; discrete kinetic model},
abstract = {Given an integer lattice {\backslash}mathcal{\{}L{\}} {\backslash}subset {\backslash}mathbb{\{}R{\}}d, we define G as the orthogonal group leaving {\backslash}mathcal{\{}L{\}} invariant. Starting from a basic kinetic model on G we construct a collision operator on {\backslash}mathcal{\{}L{\}} which keeps all the essential features of the classical Boltzmann collision operator. For a particular 3D lattice we demonstrate the suitability of this discrete model for the numerical simulation of rarefied flows. For several examples, e.g. in the context of micro flows, we find a good qualitative and quantitative agreement of our simulation results with test data.},
url = {https://www.db-thueringen.de/receive/dbt_mods_00012233},
url = {http://uri.gbv.de/document/gvk:ppn:607472855},
url = {http://uri.gbv.de/document/gvk:ppn:515104256},
file = {:https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00016578/IfM_Preprint_M_09_02.pdf:PDF},
language = {en}
}