Application of the 10-moment model to MEMS flows

43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

Volumn , Issue , 2005, Pages 1087-1099

  Suzuki, Yoshifumi ^a,b   Van Leer, Bram ^a,b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; CONTINUUM MECHANICS; GALERKIN METHODS; NAVIER STOKES EQUATIONS;

GODUNOV TYPE SCHEME; HARTEN-LAX-VAN LEER (HLL); MICRO-AIRFOILS;

MICROELECTROMECHANICAL DEVICES;

EID: 30744456049     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-1398     Document Type: Conference Paper

References (25)

1. Agarwal, R. K., Yun, K.-Y., and Balakrishnan, R., "Beyond Navier-Stokes: Burnett Equations for Flows in the Continuum-Transition Regime," Physics of Fluids, Vol. 13, No. 10, October 2001, pp. 3061-3085.
2. Sun, Q. and Boyd, I. D., "A Direct Simulation Method for Subsonic, Microscale Gas Flows," Journal of Computational Physics, Vol. 179, 2002, pp. 400-425.
3. Sun, Q., Boyd, I. D., and Candler, G. V., "A Hybrid Continuum/Particle Approach for Modeling Subsonic, Rarefied Gas Flows," Journal of Computational Physics, Vol. 194, No. 1, 2004, pp. 256-277.
4. Levermore, C. D., "Moment Closure Hierarchies for Kinetic Theories," Journal of Statistical Physics, Vol. 83, No. 5-6, 1996, pp. 1021-1065.
5. Harten, A., Lax, P. D., and van Leer, B., "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws," SIAM Review, Vol. 25, No. 1, Jan. 1983, pp. 35-61.
6. Linde, T., "A Practical, General-Purpose, Two-State HLL Riemann Solver for Hyperbolic Conservation Laws," International Journal for Numerical Methods in Fluids, Vol. 40, 2002, pp. 391-402.
7. Pareschi, L. and Russo, G., "Implicit-Explicit Runge-Kutta Schemes and Applications to Hyperbolic Systems with Relaxation," University of Ferrara, Ferrara, Italy, 2004 (unpublished).
8. van Albada, G. D., van Leer, B., and Roberts, Jr., W. W., "A Comparative Study of Computational Methods in Cosmic Gas Dynamics," Astronomy and Astrophysics, Vol. 108, No. 1, April 1982, pp. 76-84.
9. van Leer, B., "Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes," AIAA-2003-3559, 16th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, June 2003.
10. Barth, T. J., "On Unstructured Grids and Solvers," Lecture Series 1990-03, Vol.2, von Karman Institute for Fluid Dynamics, March 1990.
11. Linde, T. J., A Three-Dimensional Adaptive Multifluid MHU Model of the Heliosphere, Ph.D. thesis, University of Michigan, Ann Arbor, Michigan, 1998.
12. Brown, S. L., Approximate Riemann Solvers for Moment Models of Dilute Gases, Ph.D. thesis, university of Michigan, Ann Arbor, Michigan, 1906.
13. Brown, S. L., Roe, P. L., and Groth, C. P. T., "Numerical Solution of a 10-Moment Model for Nonequilibrium Gasdynamics," AIAA-1995-1677, 12th AIAA Computational Fluid Dynamics Conference, San Diego, California, June 1995.
14. Groth, C. P. T., Roe, P. L., Gombosi, T. I., and Brown, S. L., "On the Nonstationary Wave Structure of a 35-Moment Closure for Rarefied Gas Dynamics," AIAA-1995-2312, 12th AIAA Computational Fluid Dynamics Conference, San Diego, California, June 1995.
15. White, F. M., Viscous Fluid Flow, McGraw-Hill, Inc., 1991.
16. Bird, G. A., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, 1994.
17. Rothe, D. E., "Electron Beam Studies of Viscous Flows in Supersonic Nozzles," AIAA Journal, Vol. 9, No. 5, 1971, pp. 804-811.
18. Hittinger, J. A. F., Foundations for the Generalization of the Godunov Method to Hyperbolic Systems with Stiff Relaxation Source Terms, Ph.D. thesis. University of Michigan, Ann Arbor, Michigan, 2000.
19. Allegre, J., Raffin, M., and Lengrand, J. C., "Experimental Flowfields Around NACA 0012 Airfoils Located in Subsonic and Supersonic Rarefied Air Streams," Numerical Simulation of Compressible Navier-Stokes Flows, edited by M. O. Bristeau, R. Glowinski, J. Periaux, and H. Viviand, Vol. 18 of Notes on Numerical Fluid Mechanics, Friedr. Vieweg and Sohn, Braunschweig, Germany, 1987, pp. 59-68.
20. Jin, S., "Efficient Asymptotic-Preserving (AP) Schemes for Some Multiscale Kinetic Equations," SIAM Journal on Scientific Computing, Vol. 21, No. 2, September-October 1999, pp. 441-451.
21. Arora, M., Explicit Characteristic-Based High-Resolution Algorithms for Hyperbolic Conservation Laws with Stiff Source Terms, Ph.D. thesis, University of Michigan, Ann Arbor, Michigan, 1996.
22. Jin, S. and Levermore, C. D., "Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms," Journal of Computational Physics, Vol. 126, No. 2, 1996. pp. 449-467.
23. Liotta, S. F., Romano, V., and Russo, G., "Central Schemes for Balance Laws of Relaxation Type," SIAM Journal on Numerical Analysis, Vol. 38, No. 4, 2000, pp. 1337-1356.
24. Lowrie, R. B. and Morel, J. E., "Methods for Hyperbolic Systems with Stiff Relaxation," International Journal for Numerical Methods in Fluids, Vol. 40, No. 3-4, September 2002, pp. 413-423.
25. Hittinger, J. A. F., Suzuki, Y., and van Leer, B., "Investigation of the Discontinuous Galerkin Method for First-Order PDE Approaches to CFD," submitted to. 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June 2005.