This article is cited in 2 papers

Программирование

Problem-solving environment for solving the Boltzmann kinetic equation on tetrahedral grids

Yu. Yu. Kloss^a, D. V. Martynov^b, F. G. Cheremisin<sup>c

a</sup> Russian Research Centre "Kurchatov Institute", Moscow
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^c Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: The structure and main features of a new problem-solving environment for the numerical solution of the Boltzmann kinetic equation without linearization and approximation of the collision integral are discussed. The elastic collisions are found by the projection method. The transfer operator is approximated using unstructured grids, which allows one to analyze computer models of engineering devices with complex geometry. In order to estimate the accuracy of the method, a class of test problems with known exact solutions is proposed. Some of them are analyzed to illustrate the solution process.

Keywords: Boltzmann equation; projection method; problem-solving environment; unstructured grids.

UDC: 51-37