A deterministic method for solving the Boltzmann equation with parallel computations

Computational Mathematics and Mathematical Physics

Volumn 42, Issue 3, 2002, Pages 406-418

  Aristov, V V ^a   Zabelok, S A ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746594225     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Aristov, V.V. and Tcheremissine, F.G., A Conservative Splitting Method for the Boltzmann Equation, Zh. Vychisl. Mat. Mat. Fiz., 1980, vol. 20, no. 1, pp. 191-207.
2. Aristov, V.V. and Tcheremissine, F.G., Pryamoe chislennoe reshenie kineticheskogo uravneniya Bol'tsmana (Direct Numerical Solution of the Boltzmann Equation), Moscow: Vychisl. Tsentr Ross. Akad. Nauk, 1992.
3. Bird, G.A., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford: Clarendon, 1994.
4. Aristov, V.V. and Mamedova, I.G., Parallel Algorithms for Solving the Boltzmann Equation, Zh. Vychisl. Mat. Mat. Fiz., 1996, vol. 36, no. 2, pp. 138-146.
5. Aristov, V.V. and Zabelok, S.A., Parallel Algorithms in the Conservative Splitting Method for the Boltzmann Equation, Lect. Notes Phys., 1998, vol. 515, pp. 361-366.
6. Aristov, V.V., Solving the Boltzmann Equation for Discrete Velocities, Dokl. Akad. Nauk SSSR, 1985, vol. 283, no. 4, pp. 831-834.
7. Aristov, V.V., Method of Solving the Boltzmann Equation by Integration Over Collision Parameters in Piecewise Constant Approximation, Modern Problems in Computational Aerodynamics, Moscow: Mir, 1992, pp. 357-375.
8. Rykov, V.A., Relaxation of a Gas Described by the Boltzmann Equation, Prikl. Mat. Mekh., 1967, vol. 36, no. 2, pp. 138-146.
9. Aristov, V.V. and Zabelok, S.A., Parallel Computations in Deterministic Integration of the Boltzmann Equation, Soobshcheniya po prikladnoi matematike (Reports on Applied Mathematics), Moscow: Vychisl. Tsentr Ross. Akad. Nauk, 1998.
10. Aristov, V.V., Numerical Analysis of Free Jets at Small Knudsen Numbers, Rarefied Gas Dynamics, Oxford: Oxford Univ. Press, 1995, vol. 2, pp. 1293-1299.
11. Teshima, K., Three-Dimensional Characteristics of Supersonic Jets, Rarefied Gas Dynamics, Weinheim: VCH, 1991, pp. 1042-1048.