PN approximation of the nonlinear semi-discrete Boltzmann equation

Transport Theory and Statistical Physics

Volumn 30, Issue 4-6, 2001, Pages 471-489

  Koller, W ^a   Schurrer F ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21544482290     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1081/TT-100105933     Document Type: Article

References (13)

1. Cercignani, C. The Boltzmann Equation and Its Applications; Applied Mathematical Sciences; Springer-Verlag: New York, 1988; vol. 67.
2. Gatignol, R. Thèorie Cinètique des Gaz à Rèpartition Discrète des Vitesses; Springer-Verlag: Berlin, New York, 1975.
3. Monaco, R.; Preziosi, L. Fluid Dynamic Application of the Discrete Boltzmann Equation; Series on Advances in Mathematics for Applied Sciences; World Scientific: Singapore, 1991; vol. 3.
4. Preziosi, L.; Longo, E. On a Conservative Polar Discretization of the Boltzmann Equation. Japan J. Indust. Appl. Math. 1997, 14, 399-435.
5. Williams, M.M.R. Mathematical Methods in Particle Transport Theory; Butterworth & Co: London, 1971.
6. Jaffé, G. Zur Methodik der kinetischen Gastheorie. Ann. d. Physik 1930, 6, 195-252.
7. Boffi, V.C.; Spiga, G. Continuity Equation in the Study of Nonlinear Particle - Transport Evolution Problems. Phys. Rev. A 1984, 29, 782-790.
8. Schürrer, F. Die Kugelfunktionsmethode als Lösungsansatz für die nichtlineare Boltzmann-Gleichung. Atomkernenergie-Kerntechnik 1985, 6, 238-242.
9. N Method in the Kinetic Theory of Gases. Z. Naturforsch. 1992, 47a, 925-934.
10. 1 approximation of the nonlinear semi-continuous Boltzmann equation. Riv. Mat. Univ. Parma 1999, 2, 159-181.
11. Bellomo, N. Lecture Notes on the Mathematical Theory of the Boltzmann Equation; Series on Advances in Mathematics for Applied Sciences; World Scientific: Singapore, 1995; vol. 33.
12. Paul, P.H.; Farrow, R.L.; Danehy, P.M. Gas-phase thermal-grating contributions to four-wave mixing. J. Opt. Soc. Am. B 1995 (3), 12, 384-392.
13. Hanser, F.; Monaco, R.; Schürrer, F. The Influence of Velocity Scaling on the Evolution of Discrete Velocity Gases, submitted to Trans. Th. Stat. Phys.