Fast Numerical Method for 2D Initial-Boundary Value Problems for the Boltzmann Equation
Paper in 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


Alexey Geynts

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Piotr Kowalczyk

University of Warsaw

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
978-3-642-55194-9 (ISBN)

Subject Categories

Computational Mathematics

Other Physics Topics

Areas of Advance

Materials Science





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4/3/2018 6