A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows

Journal of Computational Physics

Volumn 194, Issue 1, 2004, Pages 256-277

  Sun, Quanhua ^a   Boyd, Iain D ^a   Candler, Graham V ^b  

^a University of Michigan   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Direct simulation Monte Carlo method; Hybrid approach; Information preservation method; Rarefied gas dynamics; Subsonic gas flow

Indexed keywords

CYTOLOGY; FLOW OF GASES; GAS DYNAMICS; GASES; LOCATION; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS;

A-PARTICLES; DIRECT SIMULATION MONTE CARLO METHOD; HYBRID APPROACH; INFORMATION PRESERVATION METHODS; NAVIER-STOKES EQUATION; PARTICLE METHODS; RAREFIED GAS DYNAMICS; RAREFIED GAS FLOW; SUBSONIC GAS FLOW; SUBSONICS;

CELLS;

EID: 0842290725     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.09.005     Document Type: Article

References (42)

1. S.D. Senturia, Microsystem Design, Kluwer Academic Publishers, Norwell, 2000.
2. Q. Sun, I.D. Boyd, G.V. Candler, Numerical simulation of gas flow over microscale airfoils, Journal of Thermophysics and Heat Transfer 16 (2) (2002) 171.
3. W.-L. Wang, I.D. Boyd, Predicting continuum breakdown in hypersonic viscous flows, Physics of Fluids 15 (1) (2003) 91.
4. C. Hirsch, Numerical Computation of Internal and External Flows I & II, Wiley, Chichester, 1990.
5. G.E. Karniadakis, A. Beskok, Micro Flows: Fundamentals and Simulation, Springer, New York, 2001.
6. M. Gad-el-Hak, The fluid mechanics of microdevices - the freeman scholar lecture, Journal of Fluids Engineering 121 (1999) 5.
7. G.A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, New York, 1994.
8. D.B. Hash, H.A. Hassan, A decoupled DSMC/Navier-Stokes analysis of a transitional flow experiment, AIAA paper 96-0353 (1996).
9. F.E. Lumpkin, P.C. Stuart, G.J. Lebeau, Enhanced analyses of plume impingement during Shuttle-Mir docking using a combined CFD and DSMC methodology, AIAA paper 96-1877 (1996).
10. J.F. Bourgat, P.L. Tallec, M.D. Tidriri, Coupling Boltzmann and Navier-Stokes equations by friction, Journal of Computational Physics 127 (1996) 227.
11. C.K. Oh, E.S. Oran, A new hybrid algorithm: Navier-Stokes as a DSMC filter, AIAA paper 98-0849 (1998).
12. D.C. Wadsworth, D.A. Erwin, One-dimensional hybrid continuum/particle simulation approach for rarefied hypersonic flows, AIAA paper 90-1690 (1990).
13. D.C. Wadsworth, D.A. Erwin, Two-dimensional hybrid continuum/particle approach for rarefied flows, AIAA paper 92-2975 (1992).
14. D.B. Hash, H.A. Hassan, Assessment of schemes for coupling Monte Carlo and Navier-Stokes solution methods, Journal of Thermophysics and Heat Transfer 10 (1996) 242.
15. D.B. Hash, H.A. Hassan, Two-dimensional coupling issues of hybrid DSMC/Navier-Stokes solvers, AIAA paper 97-2507 (1997).
16. R. Roveda, D.B. Goldstein, P.L. Varghese, Hybrid Euler/particle approach for continuum/rarefied flows, Journal of Spacecraft and Rockets 35 (3) (1998) 8.
17. R. Roveda, D.B. Goldstein, P.L. Varghese, Hybrid Euler/direct simulation Monte Carlo calculation of unsteady slit flow, Journal of Spacecraft and Rockets 37 (6) (2000) 753.
18. P.L. Tallec, F. Mallinger, Coupling Boltzmann and Navier-Stokes equations by half fluxes, Journal of Computational Physics 136 (1997) 51.
19. A.L. Garcia, J.B. Bell, W.Y. Crutchfield, B.J. Alder, Adaptive mesh and algorithm refinement using direct simulation Monte Carlo, Journal of Computational Physics 154 (1999) 134.
20. N.G. Hadjiconstantinou, Hybrid atomistic-continuum formulations and the moving contact-line problem, Journal of Computational Physics 154 (1999) 245.
21. O. Aktas, N.R. Aluru, A combined continuum/DSMC technique for multiscale analysis of microfluidics filters, Journal of Computational Physics 178 (2002) 342.
22. E.G. Flekkøy, G. Wagner, J. Feder, Hybrid model for combined particle and continuum dynamics, Europhysics Letters 52 (2) (2000) 271.
23. B. Alder, Highly discretized dynamics, Physica A 240 (1997) 193.
24. S. Tiwari, A. Klar, An adaptive domain decomposition procedure for Boltzmann and Euler equations, Journal of Computational and Applied Mathematics 90 (1998) 223.
25. J. Fan, C. Shen, Statistical simulation of low-speed rarefied gas flows, Journal of Computational Physics 167 (2001) 393.
26. Q. Sun, I.D. Boyd, A direct simulation method for subsonic, microscale gas flows, Journal of Computational Physics 179 (2002) 400.
27. Q. Sun, Information preservation methods for modeling micro-scale gas flows, PhD Dissertation, University of Michigan, Ann Arbor, 2003.
28. W.-L. Wang, I.D. Boyd, A new energy flux model in the DSMC-IP method for nonequilibrium flows, AIAA paper 2003-3774 (2003).
29. C. Cai, I.D. Boyd, J. Fan, G.V. Candler, Direct simulation methods for low-speed microchannel flows, Journal of Thermophysics and Heat Transfer 14 (3) (2000) 368.
30. J. Fan, I.D. Boyd, C. Cai, K. Hennighausen, G.V. Candler, Computation of rarefied flows around a NACA0012 airfoil, AIAA Journal 39 (4) (2001) 618.
31. R.P. Nance, D.B. Hash, H.A. Hassan, Role of boundary conditions in Monte Carlo simulation of MEMS devices, Journal of Thermophysics and Heat Transfer 12 (3) (1998) 447.
32. K. Guo, G.S. Liaw, A review: boundary conditions for the DSMC method, AIAA paper 2002-2953 (2001).
33. R.W. MacCormack, G.V. Candler, The solution of Navier-Stokes equations using Gauss-Seidel line relaxation, Computers & Fluids 17 (1989) 135.
34. K. Hennighausen, Fluid mechanics of microscale flight, PhD Dissertation, University of Minnesota, Minneapolis, 2001.
35. S.A. Schaaf, P.L. Chambre, Flow of rarefied gases, High Speed Aerodynamics and Jet Propulsion 3 (H) (1958) 678.
36. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, third ed., Cambridge University Press, Cambridge, 1970.
37. G.A. Bird, Breakdown of translational and rotational equilibrium in gaseous expansions, AIAA Journal 8 (1970) 1998.
38. I.D. Boyd, G. Chen, G.V. Candler, Predicting failure of the continuum fluid equations in transitional hypersonic flows, Physics of Fluids 7 (1995) 210.
39. S. Tiwari, Coupling the Boltzmann and Euler equations with automatic domain decomposition, Journal of Computational Physics 144 (1998) 710.
40. A.L. Garcia, B.J. Alder, Generation of the Chapman-Enskog distribution, Journal of Computational Physics 140 (1998) 66.
41. S. Dietrich, I.D. Boyd, Scalar and parallel optimized implementation of the direct simulation Monte Carlo method, Journal of Computational Physics 126 (1996) 328.
42. S. Sunada, A. Sakaguchi, K. Jawachi, Airfoil section characteristics at a low Reynolds number, Journal of Fluids Engineering 119 (1997) 129.