PT Unknown
AU Babovsky Prof. Dr. rer. nat. habil., H
TI A numerical model for the Boltzmann equation with applications to micro flows
SE Preprint / Technische Universität Ilmenau, Institut für Mathematik
PD 01
PY 2009
VL 09-02
LA en
DE Boltzmann equation; numerical simulation; discrete kinetic model
AB Given an integer lattice \mathcal{L} \subset \mathbb{R}d, we define G as the orthogonal group leaving \mathcal{L} invariant. Starting from a basic kinetic model on G we construct a collision operator on \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.
PI Ilmenau
ER