A stochastic weighted particle method for the Boltzmann equation

Journal of Computational Physics

Volumn 124, Issue 2, 1996, Pages 243-253

  Rjasanow, Sergej ^a   Wagner, Wolfgang ^b  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MONTE CARLO METHODS; STOCHASTIC SYSTEMS;

BOLTZMANN'S EQUATIONS; DIRECT SIMULATION MONTE CARLO METHOD; NUMERICAL TREATMENTS; PARTICLE METHODS; POST-COLLISION; RANDOM WEIGHT; STOCHASTICS; WEIGHT TRANSFER;

BOLTZMANN EQUATION;

EID: 0030584543     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0057     Document Type: Article

References (21)

1. 1. H. Babovsky, European J. Mech. B Fluids 8(1), 41 (1989).
2. 2. H. Babovsky and R. Illner, SIAM J. Numer. Anal. 26(1), 45, (1989).
3. 3. G. A. Bird, Molecular Gas Dynamics (Clarendon Press, Oxford, 1976).
4. 4. G. A. Bird, Progr. Astronaut. Aeronaut. 118, 211 (1989).
5. 5. G. A. Bird, "Efficiency and Discrepancy in the Direct Simulation Methods," in Proceedings, 17th International Symposium on Rarefied Gas Dynamics, edited by A. E. Beylich, Aachen, 1990), p. 655.
6. 6. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon Press, Oxford, 1994).
7. 7. C. Cercignani, The Boltzmann Equation and its Applications (Springer-Verlag, New York, 1988).
8. 8. R. Illner and H. Neunzert, Transport Theory Statist. Phys. 16(2/3), 141 (1987).
9. 9. R. Illner and S. Rjasanow, in Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems, edited by V. C. Boffi, F. Bampi, and G. Toscani (World Scientific, Singapore, 1992), p. 152.
10. 10. R. Illner and S. Rjasanow, European J. Mech. B Fluids, 13(2), 197 (1994).
11. 11. R. Illner and W. Wagner, J. Statist. Phys. 70(3/4), 773 (1993).
12. 12. R. Illner and W. Wagner, Transport Theory Statist. Phys. 23(1-3), 27 (1994).
13. 13. M. S. Ivanov and S. V. Rogazinskij, Soviet J. Numer. Anal. Math. Modelling 3(6), 453 (1988).
14. 14. K. Koura, Phys. Fluids 29(11), 3509 (1986).
15. 15. A. V. Lukshin and S. N. Smirnov, U.S.S.R. Comput. Math. Math. Phys. 29(1), 83 (1989).
16. 16. K. Nanbu, J. Phys. Soc. Jpn. 52(10), 3382 (1983).
17. 17. H. Neunzert, F. Gropengiesser, and J. Struckmeier, "Computational Methods for the Boltzmann Equation," in Applied and Industrial Mathematics, edited by R. Spigler (Kluwer Academic, Dordrecht, 1991), p. 111.
18. 18. M. Schreiner, Transport Theory Statist. Phys. 22(6), 793 (1993).
19. 19. S. N. Smirnov, Zh. Vychisl. Mat. i Mat. Fiz. 29(2), 270 (1989). [Russian]
20. 20. W. Wagner, J. Statist. Phys. 66(3/4), 1011 (1992).
21. 21. W. Wagner, Stochastic Anal. Appl. 12(5), 639 (1994).