Geodesic
Problem-solving environment for solving the Boltzmann kinetic equation
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 24-38

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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. 
@article{VMP_2011_12_1_a27,
     author = {Yu. Yu. Kloss and D. V. Martynov and F. G. Cheremisin},
     title = {Problem-solving environment for solving the {Boltzmann} kinetic equation},
     journal = {Numerical methods and programming},
     pages = {24--38},
     publisher = {mathdoc},
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     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a27/}
}
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Yu. Yu. Kloss; D. V. Martynov; F. G. Cheremisin. Problem-solving environment for solving the Boltzmann kinetic equation. Numerical methods and programming, Tome 12 (2011) no. 1, pp. 24-38. http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a27/