Talks and Poster Presentations (without Proceedings-Entry):
G. Kitzler, J. Schöberl:
"A high order discontinuous Galerkin method for the Boltzmann Equation";
Talk: 25th FEM Symposium Chemnitz,
TU Chemnitz;
2012-09-24
- 2012-09-26.
English abstract:
A high order discontinuous Galerkin method for the
Boltzmann Equation
Gerhard Kitzler1 Joachim Sch oberl2
The Boltzmann equation is a statistical model for gases. The density distribution
function f(t; x; v) describes the propability to nd a particle at time t near the spatial
position x and which has the velocity close to v. The time evolution of f is given by
the Boltzmann equation. The collision of particles is formulated in terms of the collision
operator Q(f) which is local in x and t. We perform a Petrov-Galerkin method in the
spatial domain
and velocity domain R3. In the v domain the solution is expanded as a
sum over multivariate Lagrange polynomials lj(x) times an appropriate gaussian peak. In
space we discretize by a high order discontinuous Galerkin method with natural upwind
uxes.
Due to this expansion, the Boltzmann transport operator decouples when using Gau -
Hermite integration rules of appropriate order into transport operators for the individual
components.
1
Created from the Publication Database of the Vienna University of Technology.