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Numerical methods and programming, 2011, Volume 12, Issue 1, Pages 24–38
(Mi vmp217)
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This article is cited in 2 scientific papers (total in 2 papers)
Программирование
Problem-solving environment for solving the Boltzmann kinetic equation
on tetrahedral grids
Yu. Yu. Klossa, D. V. Martynovb, F. G. Cheremisinc a 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.
Citation:
Yu. Yu. Kloss, D. V. Martynov, F. G. Cheremisin, “Problem-solving environment for solving the Boltzmann kinetic equation
on tetrahedral grids”, Num. Meth. Prog., 12:1 (2011), 24–38
Linking options:
https://www.mathnet.ru/eng/vmp217 https://www.mathnet.ru/eng/vmp/v12/i1/p24
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Abstract page: | 154 | Full-text PDF : | 150 |
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