A Kinetic Method for Computing Inhomogeneous Fluid Behavior

Journal of Computational Physics

Volumn 134, Issue 2, 1997, Pages 364-388

  Kotelnikov, Alexei D ^a   Montgomery, David C ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; COMPUTATION THEORY; GAS DYNAMICS; KINETIC THEORY OF GASES;

BHATNAGAR GROSS KROOK MODELS; BHATNAGAR-GROSS-KROOK MODELS; BOLTZMANN'S EQUATIONS; COMPUTATIONAL SCHEMES; DIFFERENT DENSITIES; FINITE-VOLUME; FLUID BEHAVIOR; INHOMOGENEOUS FLUIDS; INHOMOGENEOUS MATERIALS; KINETICS METHOD;

MACH NUMBER;

EID: 0031187989     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5720     Document Type: Article

References (30)

1. Balescu R. Transport Processes in Plasmas, Vol. 1. 1988;North-Holland, Amsterdam.
2. Berger M., Colella P. J. Comput. Phys. 82:1989;64.
3. Bhatnagar P., Gross E., Krook M. Phys. Rev. 94:1954;511.
4. Chapman S., Cowling T. G. The Mathematical Theory of Non-uniform Gases. 1970;Cambridge Univ. Press, Cambridge.
5. Chisnell R. F. J. Fluid Mech. 2:1957;286.
6. Ferziger J. H., Kaper H. G. Mathematical Theory of Transport in Gases. 1972;North-Holland, Amsterdam.
7. Gardner C., Glimm J., McBryan O., Menikoff R., Sharp D., Zang Q. Phys. Fluids A. 31:1988;447.
8. Greene J. M. Phys. Fluids. 16:1973;2022.
9. Gross E., Krook M. Phys. Rev. 102:1956;593.
10. Harten A. J. Comput. Phys. 83:1989;148.
11. Henderson L., Colella P., Puckett E. J. Fluid Mech. 224:1991;1.
12. Huang K. Statistical Mechanics. 1987;Wiley, New York.
13. A. Jameson, 1993, AIAA-93-3359, 11th AIAA Computational Fluid Dynamics Conference July 6-9.
14. Karni S. J. Comput. Phys. 112:1994;31.
15. Landau L. D., Lifshitz E. M. Fluid Mechanics. 1982;Pergamon, New York.
16. Li X., Jin B., Glimm J. J. Comput. Phys. 126:1996;343.
17. Mandal J. C., Deshpande S. M. Comput. & Fluids. 23:1994;447.
18. Montgomery D., Tidman D. A. Plasma Kinetic Theory. 1964;McGraw-Hill, New York.
19. Prendergast K. H., Xu K. J. Comput. Phys. 109:1993;53.
20. J. Quirk, S. Karni, 1994, Contractor Report 194978, NASA Langley Res. Ctr. Hampton, Virginia.
21. Samtaney R., Zabusky N. J. J. Fluid Mech. 269:1994;45.
22. Sanders R. H., Prendergast K. H. Astrophys. J. 188:1974.
23. Sod G. J. Fluid Mech. 83:1977;785.
24. Shu C., Osher S. J. Comput. Phys. 77:1988;439.
25. Swanson R. C., Turkel E. J. Comput. Phys. 101:1992;297.
26. K. Xu, 1993, Numerical Hydrodynamics from Gas-Kinetic Theory, Columbia University.
27. Xu K., Prendergast K. H. J. Comput. Phys. 114:1994;17.
28. Xu K., Martinelli L., Jameson A. J. Comput. Phys. 120:1995;48.
29. K. Xu, C. Kim, L. Martinelli, A. Jameson, BGK-based schemes for the simulation of compressible flow.
30. Yang X., Chern I-L., Zabusky N., Samtaney R., Hawley J. Phys. Fluids A. 4:1993;1531.