Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime

Physics of Fluids

Volumn 13, Issue 10, 2001, Pages 3061-3085

  Agarwal, Ramesh K ^a   Yun, Keon Young ^b   Balakrishnan, Ramesh ^c  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^b WICHITA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING; SPACECRAFT; THERMODYNAMICS;

CONTINUUM -TRANSITION REGIMES;

HYPERSONIC FLOW;

FLUID DYNAMICS; HYPERSONIC FLOW;

EID: 0035477840     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1397256     Document Type: Article

References (47)

1. Computational hypersonic rarefied flows
2. The fluid mechanics of microdevices
3. Low Reynolds number influence on the aerodynamic performance of hypersonic lifting vehicles
4. Role of boundary conditions in Monte Carlo simulation of microelectromechanical systems
5. Unique determination of solutions to the Burnett equations
6. An analysis of the Burnett equations based in the second law of thermodynamics
7. On the kinetic theory of rarefied gases
8. Existence of kinetic theory solutions to the shock structure problem
9. Comments on existence of kinetic theory solutions to the shock structure problem
10. Moment closure hierarchies for kinetic theory
11. The Gaussian moment closure for gas dynamics
12. On the nonstationary wave structure of 35-moment closure for rarefied gas dynamics
13. A new hydrodynamic approach to computational hypersonic rarefied gas dynamics
14. Direct simulation Monte Carlo: Recent advances and application
15. Hybrid Euler/particle approach for continuum/rarefied flows
16. Predicting failure of the continuum fluid equations in transitional hypersonic flows
17. The distribution of velocities and mean motion in a slight nonuniform gas
18. Comparison of Burnett, super-Burnett, And Monte Carlo solutions for hypersonic shock structure
19. Evaluation of various forms of the Burnett equations
20. Regularization of the Burnett equations via relaxation
21. Entropy consistent formulation and numerical simulation of the BGK-Burnett equations for hypersonic flows in the continuum-transition regime
22. Numerical simulation of the BGK- Burnett for hypersonic flows
23. A model for the collision process in gas
24. Higher-order distribution functions, BGK-Burnett equations and Boltzmann's H-theorem
25. Augmented Burnett and Bhatnagar-Gross-Krook-Burnett for hypersonic flow
26. Some remarks on the equations of Burnett and Grad
27. Veder Warmeleitung in Verdumteu Gasen
28. Rarefaction and compressibility effects in gas microflows
29. The Chapman-Enskog and grad methods for solving the Boltzmann equations
30. A comparative study of several higher-order kinetic formulations beyond Navier-Stokes for computing the shock structure
31. Numerical simulation of 3D augmented Burnett equations for hypersonic flow in the continuum-transition regime
32. Flux vector splitting of the inviscid gas dynamics equations with application to finite-difference methods
33. A second-order description of shock structure
34. Density profiles in argon and nitrogen shock waves measured by the absorption of an electron beam
35. Augmented Burnett equation solutions over axisymmetric blunt bodies in hypersonic flow
36. Monte Carlo study of blunt body hypersonic viscous shock layers
37. Direct simulation of transitional flow for hypersonic reentry conditions
38. A model for flows in channels, pipes, and ducts at micro and nano scales
39. Computations of high-speed, high Knudsen number microchannel flows