Numerical simulation of Bhatnagar-Gross-Krook - Burnett equations for hypersonic flows

Journal of Thermophysics and Heat Transfer

Volumn 11, Issue 3, 1997, Pages 391-399

  Balakrishnan, Ramesh ^a,b   Agarwal, Ramesh K ^a,b  

^a Wichita State University   (United States)

^b AIAA   (United States)

Author keywords

DNA duplex; Laser desorption; Mass spectrometry

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FUNCTIONS; NAVIER STOKES EQUATIONS; VECTORS;

BHATNAGAR GROSS KROOK (BGK) BURNETT EQUATIONS; BOLTZMANN EQUATION; DISTRIBUTION FUNCTION; KINETIC WAVE/PARTICLE SPLIT METHOD;

HYPERSONIC FLOW;

EID: 0031187860     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/2.6253     Document Type: Article

References (12)

1. Fiscko, K. A., and Chapman, D. R., Comparison of Burnett, Super-Burnett and Monte Carlo Solutions for Hypersonic Shock Structure, Vol. 118, Progress in Aeronautics and Astronautics, AIAA, Washington, DC, 1989, pp. 374-395.
2. Bobylev, A. V., "The Chapman-Enskog and Grad Methods for Solving the Boltzmann Equation," Soviet Physics - Doklady, Vol. Vol. 27, No. 1, 1982, p. 29.
3. Zhong, X., "Development and Computation of Continuum Higher Order Constitutive Relations for High-Altitude Hypersonic Flow," Ph.D. Dissertation, Stanford Univ., Stanford, CA, 1991.
4. Welder, W. T., Chapman, D. R., and MacCormack, R. W., "Evaluation of Various Forms of the Burnett Equations," AIAA Paper 93-3094, July 1993.
5. Comeaux, K. A., Chapman, D. R., and MacCormack, R. W., "An Analysis of the Burnett Equations Based on the Second Law of Thermodynamics," AIAA Paper 95-0415, Jan. 1995.
6. Balakrishnan, R., and Agarwal, R. K., "Formulation of a Second Order Distribution Function by Perturbation Analysis of the Boltzmann Equation," Dept. of Aerospace Engineering, Wichita State Univ., Wichita, KS, 1995.
7. Agarwal, R. K., and Balakrishnan, R., "Numerical Simulation of BGK-Burnett Equations," Air Force Office of Scientific Research, Aug. 1996.
8. Acheson, K. E., and Agarwal, R. K., "A Kinetic Theory Based Wave/Particle Flux Splitting Scheme for Euler Equations," AIAA Paper 95-2178, June 1995.
9. 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," Dept. of Aerospace Engineering, Wichita State Univ., Wichita, KS, 1995.
10. Balakrishnan, R., and Agarwal, R. K., "Development of a Kinetic Wave/Particle Flux Splitting Scheme for the Burnett Equations," Dept. of Aerospace Engineering, Wichita State Univ., Wichita, KS, 1995.
11. Xu, K., Martinelli, L., and Jameson, A., "Gas Kinetic Finite Volume Methods, Flux-Vector Splitting, and Artificial Diffusion," Journal of Computational Physics, Vol. 120, 1995, pp. 48-65.
12. Perthame, B., and Tadmor, E., Communications in Mathematical Physics, Vol. 36, 1991, p. 501.