Application of moment realizability criteria for the coupling of the Boltzmann and Euler equations

Transport Theory and Statistical Physics

Volumn 29, Issue 7, 2000, Pages 759-783

  Tiwari, S ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034337920     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411450008200001     Document Type: Article

References (21)

1. H. Babovsky. On a simulation scheme for the Boltzmann equation, Math. Methods. Appl. Sci. 8, 223 (1986).
2. H. Babovsky. A Convergence proof for Nanbu's Boltzmann simulation scheme, Eur. J. Mech., 8, 41 (1989).
3. G. A. Bird. Molecular Gas Dynamics, (Clarendon Press, Oxford, 1976).
4. J. F. Bourgat, P. Le Tallec, F. Mallinger, B. Perthame and Y. Qin. Coupling Boltzmann and Euler Equations with overlapping, Report INRIA 1991 (unpublished).
5. J. F. Bourgat, P. Le Tallec and M. D. Tidriri. Coupling Boltzmann and Navier-Stokes equations by friction, J. Comp. Phys. 127, 227 (1996).
6. R. Caflish. The fluid dynamic limit of the nonlinear Boltzmann equation, CPAM, 33, 651 (1980).
7. C. Cercignani, R. Illner, M. Pulvirenti. The Mathematical Thoery of Dilute Gases, (Springer-Verlag New York, Berlin, Heidelberg 1994).
8. F. Coron, B. Perthame. Numerical Passage from Kinetic to Fluid Equations, SIAM J. Numer. Anal., 28(1), 26 (February 1991).
9. S. M. Despande. A second Order Accurate Kinetic Theory based Method for Inviscid Compressible Flows, Tech. Paper 2613, NASA-Langley Research Center, Hampton, VA, 1986.
10. E Godlewski and P. -A. Raviart. Numerical Approximation of Hyperbolic System of Conservation Laws, (Springer, 1995).
11. S. Kaniel. A Kinetic Model for the Compressible Flow Equations, Indiana University Mathematics Journal, 37(3), 537 (1988).
12. A. Klar. Domain Decomposition for Kinetic problems with nonequilibrium states, Eur. J. Mech./B Fluids, 15, 203 (1996).
13. D. Levermore, William J. Morokoff, B. T. Nagida. Moment realizability and the validity of the Navier-Stokes Equations for Rarefied Gas Dynamics, preprint 1995.
14. A. Lukschin, H. Neunzert, J. Struckmeier. Coupling of Navier-Stokes and Boltzmann Regions, Final Report for Project DPH 6473/91, Department of Mathematics, University of Kaiserslautern, 1992 (unpublished).
15. H. Neunzert and J. Struckmeier. Particle Methods for the Boltzmann Equation, Acta Numerica, page 417 (Cambridge, 1995).
16. H. Niederreiter. Random Number Generation and Quasi-Monte Carlo Methods, SIAM (Philadelphia, Pennsylvania, 1992).
17. J. Schneider. Direct Coupling of Fluid and Kinetic Equations, AGTM preprint No. 126, University of Kaiserslautern, 1995 (unpublished).
18. J. Struckmeier and K. Steiner. A comparision of simulation methods for rarefied gas flows, Phys. Fluids, 7, 11 (1995).
19. S. Tiwari and S. Rjasanow. Sobolev Norm as a criterion of local thermal equilibrium, to appear in Eur. J. Mech. B/Fluids.
20. S. Tiwari Coupling of Boltzmann and Euler equations with automatic domain decomposition, Preprint, 1996.
21. S. Tiwari and A. Klar. An Adaptve Domain Decomposition Procedure for the Boltzmann and Euler Equations, preprint, 1997.