Coupling Boltzmann and Navier-Stokes equations by friction

Journal of Computational Physics

Volumn 127, Issue 2, 1996, Pages 227-245

  Bourgat, Jean François ^a   Le Tallec, Patrick ^b   Tidriri, Moulay D ^c  

^a INRIA   (France)

^b UNIVERSITÉ PARIS DAUPHINE   (France)

^c Mail Stop 132C   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; FRICTION; HYPERSONIC AERODYNAMICS; HYPERSONIC VEHICLES; NUMERICAL METHODS;

BOLTZMANN; FRICTION FORCE; KINETIC MODELS; MANEUVERING VEHICLES; NAVIER STOKES; NAVIER-STOKES EQUATION; RAREFIED FLOW; STRATEGY USE; THROUGH WALLS; WALL FRICTION;

NAVIER STOKES EQUATIONS;

EID: 0030240034     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0172     Document Type: Article

References (29)

1. 1. J. Allégre, M. Raffin, J. C. Lengrand, A. Chpoun, and L. Gottesdiener, Laboratoire d'Aerothermique Report RC-89-06, Septembre 1989 (unpublished).
2. 2. H. Babovsky, Math. Methods Appl. Sci. 8, 223 (1986).
3. 3. J. F. Bourgat, P. Le Tallec, F. Mallinger, Y. Qiu, and M. D. Tidriri, "Numerical coupling of Boltzmann and Navier-Stokes," In Proceedings Sixth I.U.T.A.M. (International Union of Theoretical and Applied Mechanics) Conference on Rarefied Flows for Reentry Problems, Marseille, France, September 1992 (unpublished).
4. 4. J. F. Bourgat, INRIA Technical Report 142, December 1992 (unpublished).
5. 5. J. F. Bourgat, L. Desvillettes, P. Le Tallec, and B. Perthame, Europ. J. Mech. B Fluids 13, No. 2, 237 (1994).
6. 6. C. Borgnakke and P. S. Larsen, J. Comput. Phys. 18, 405 (1975).
7. 7. R. Brun, Transport et relaxation dans les écoulements gazeux (Masson, Paris, 1986).
8. 8. C. Cercignani, The Boltzmann equation and its applications, Appl. Math. Sci., Vol. 67 (Springer-Verlag, New York/Berlin, 1988).
9. 9. F. Coquel and M. S. Liou, report, Nasa Lewis Research Center (unpublished).
10. 10. F. Coron, Thèse, Université de Paris Nord, avril 1989.
11. 11. R. Gupta, C. Scott, and J. Moss, NASA Technical Paper 2452, November 1985 (unpublished).
12. 12. H. Hollanders and G. Rollin, Rapport ONERA 13/3637 AY, May 1991 (unpublished).
13. 13. J. C. Lengrand, J. C. Heffner, and A. Chpoun, Laboratoire d'Aero-thermique, Report RC-90-08, Decembre 1990 (unpublished).
14. 14. P. Le Tallec and M. D. Tidriri, submitted.
15. 15. P. Le Tallec, M. D. Tidriri, Hermes contract report, December 1993 (unpublished).
16. 16. P. Le Tallec and F. Mallinger, "Couplage Boltzmann Navier-Stokes," in Proceedings, 57th Meeting between Theoretical Physics and Mathematics, Université Louis Pasteur, December 1993" (unpublished).
17. 17. A. Lukshin, H. Neunzert, and J. Struckmeier, Interim Report for the Hermes Project DPH 6174/91: Coupling of Navier-Stokes and Boltzmann Regions, 1992 (unpublished).
18. 18. M. Mallet, Ph.D. thesis, Stanford University, 1985 (unpublished).
19. 19. H. Neunzert and J. Struckmeier, "Particle Methods for the Boltzmann Equation," in Acta Numer. 1995, Cambridge, 1995 (unpublished).
20. 20. B. Perthame, SIAM J. Numer. Anal. 29, 1 (1992).
21. 21. Ph. Rostand and B. Stoufflet, Rapport de recherche, INRIA No. 863, Juillet, 1988 (unpublished).
22. 22. Y. Saad and M. H. Schultz, SIAM J. Sci. Stat. Comput. 7, 856 (1986).
23. 23. J. Schneider, preprint, University of Kaiserslautern, 1995.
24. 24. F. Shakib, Ph.D. thesis, Stanford University, 1988 (unpublished).
25. 25. M. D. Tidriri, thèse, Université de Paris IX, May 1992 (unpublished).
26. 26. M. D. Tidriri, J. Comput. Phys. 119, 271-282 (1995).
27. 27. M. D. Tidriri, INRIA Research Report 2435, Dec. 94 (unpublished).
28. 28. W. G. Vicenti and C. H. Kruger Jr., Introduction to Physical Gas Dynamics (Wiley, New York, 1967).
29. 29. X. Zhong, R. W. MacCormack, and D. R. Chapman, AIAA J. 31, 6 (1993).