Fast Numerical Method for 2D Initial-Boundary Value Problems for the Boltzmann Equation
Paper i proceeding, 2014

We present a new numerical scheme for the initial-boundary value problem for the Boltzmann equation in two-dimensional physical space. It is based on a splitting procedure in which the collision equation is solved using the adaptive algorithm for the computation of the full three-dimensional Boltzmann collision operator on non-uniform velocity grids introduced in the previous paper by the authors. The computation of the collision operator is performed in parallel for every physical grid cell. For the two-dimensional transport equation we use a second order finite volume method. The numerical example showing the effectiveness of our method is given.

Non-uniform grids

Boltzmann equation

Numerical methods

Författare

Alexey Geynts

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Piotr Kowalczyk

Uniwersytet Warszawski

Lecture Notes in Computer Science

0302-9743 (ISSN)

Vol. 8385 PART 2 499-509

Ämneskategorier

Beräkningsmatematik

Annan fysik

Styrkeområden

Materialvetenskap

DOI

10.1007/978-3-642-55195-6_47

ISBN

978-3-642-55194-9