A kinetic theory based scheme for the numerical solution of the BGK-Burnett equations for hypersonic flows in the continuum-transition regime

34th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1996, Pages

  Balakrishnan, Ramesh ^a   Agarwal, Ramesh K ^a  

^a Wichita State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; BOLTZMANN EQUATION; DISTRIBUTION FUNCTIONS; HYPERSONIC AERODYNAMICS; HYPERSONIC FLOW; KINETIC THEORY; KINETICS; SHOCK TUBES;

BHATNAGAR-GROSS-KROOK APPROXIMATIONS; CHAPMAN-ENSKOG EXPANSION; COLLISION INVARIANTS; CONTINUUM TRANSITIONS; MATERIAL DERIVATIVE; NUMERICAL SOLUTION; SPATIAL AND TEMPORAL VARIATION; SPATIAL DERIVATIVES;

NAVIER STOKES EQUATIONS;

EID: 85085407031     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-602     Document Type: Conference Paper

References (9)

1. Fiscko, K. A., and Chapman, D. R., "Comparison of Burnett, Super-Burnett and Monte Carlo Solutions for Hypersonic Shock Structure", Proceedings 16th International Symposium on Rarefied Gas Dynamics, Pasadena, California, July 11-15, 1988.
2. Bobylev, A. V., "The Chapman-Enskog and Grad Methods for Solving the Boltzmann Equation", Sov. Phys. Dokl., 27(1), January 1982.
3. Zhong, X., "Development and Computation of Continuum Higher Order Constitutive Relations for High-Altitude Hypersonic Flow", Ph.D. Thesis, Stanford University, 1991.
4. Welder, W. T., Chapman, D. R., and MacCormack, R. W., "Evaluation of Various Forms of the Burnett Equations", AIAA-93-3094, AIAA 24th Fluid Dynamics Conference, July 6-9, 1993, Orlando, FL.
5. Comeaux, K. A., Chapman, D. R., and MacCormack, R. W., "An Analysis of the Bumett Equations Based on the Second Law of Thermodynamics", AIAA 95-0415, 33rd Aerospace Sciences Meeting. January 9-12, 1995, Reno, NV.
6. Balakrishnan R., and Agarwal, R. K., "Formulation of a Second Order Distribution Function by Perturbation Analysis of the Boltzmann Equation", report (unpublished), Department of Aerospace Engineering, Wichita State University, 1995.
7. Acheson, K. E., and Agarwal, R. K., "A Kinetic Theory Based Wave/Particle Flux Splitting Scheme for Euler Equations", AIAA 95-2178, 266 AIAA Fluid Dynamic Conference, San Diego, CA, June 1995.
8. Balakrishnan R., and Agarwal, R. K., "Development of the First Order Distribution Function and a Kinetic Wave/Particle Flux Splitting Scheme for the Navier-Stokes Equations", report (unpublished), Department of Aerospace Engineering, Wichita State University, 1995.
9. Balakrishnan R., and Agarwal, R. K., "Development of a Kinetic Wave/Particle Flux Splitting Scheme for the Bumett Equations", report (unpublished), Department of Aerospace Engineering, Wichita State University, 1995.