Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892209 | Computers & Mathematics with Applications | 2018 | 17 Pages |
Abstract
This paper aims at approximations of the collision operator in the Boltzmann equation. The developed framework guarantees the “normality” of the approximation, which means correct collision invariants, H-Theorem, and equilibrium solutions. It fits into the discrete velocity model framework, is given in such a way that it is understandable with undergraduate level mathematics and can be used to construct approximations with arbitrary high convergence orders. At last we give an example alongside a numerical verification. Here the convergence orders range up to 3 (2) and the time complexity is given by 3+12 (4+23) in 2 (3) dimensions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Stefan Brechtken, Thomas Sasse,