Deterministic Numerical Schemes for the Boltzmann Equation

Details Deterministic Numerical Schemes for the Boltzmann Equation Deterministic Numerical Schemes for the Boltzmann Equation

2009-11-18

arxiv.org/abs/0911.3589v1

Mathematics

Numerical Analysis

47 pages, 9 figures

Scientific paper

This article describes methods for the deterministic simulation of the collisional Boltzmann equation. It presumes that the transport and collision parts of the equation are to be simulated separately in the time domain. Time stepping schemes to achieve the splitting as well as numerical methods for each part of the operator are reviewed, with an emphasis on clearly exposing the challenges posed by the equation as well as their resolution by various schemes.

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