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 (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

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

Mer information

Senast uppdaterat

2018-04-03