Modeling of low-speed rarefied gas flows using a combined ES-BGK/DSMC approach

Vacuum

Volumn 85, Issue 2, 2010, Pages 115-119

  Gimelshein, Natalia ^a   Gimelshein, Sergey ^a   Selden, Nathaniel ^b   Ketsdever, Andrew ^c  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^c AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

DSMC; ES BGK; Low speed flow; Radiometric

Indexed keywords

CFD METHOD; COMPUTATIONAL MODELING; DSMC; DSMC METHOD; ES-BGK; FINITE-VOLUME; GAS FLOWS; KINETIC METHOD; KNUDSEN NUMBERS; LOW-SPEED FLOW; MODEL KINETICS; NUMERICAL EFFICIENCY; RADIOMETRIC; RADIOMETRIC FORCES; RAREFIED GAS; RAREFIED GAS FLOW; SIMPLIFIED MODELS; VACUUM CHAMBERS;

AERODYNAMICS; COMPUTATIONAL FLUID DYNAMICS; FLOW OF GASES; GASES; INTEGRAL EQUATIONS; KINETIC ENERGY; KINETIC THEORY; KINETICS; RADIOMETRY; SPEED;

BOLTZMANN EQUATION;

EID: 77956619245     PISSN: 0042207X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.vacuum.2010.04.011     Document Type: Article

References (29)

1. A.E. Woodruff William Crookes and the radiometer Isis 57 2 1966 188 198
2. A. Bennet A new suspension of the magnetic needle invented for the discovery of minute quantities of magnetic attraction Philos Trans R Soc London 82 1792 81 82
3. A. Fresnel Note sur la repulsion que des corps échauffés execent sur les autres des distances sensibles Ann Chem Phys 29 1825 57 62
4. W. Crookes On attraction and repulsion resulting from radiation Philos Trans R Soc London 164 1874 501 527
5. O. Reynolds On certain dimensional properties of matter in the gaseous state Philos Trans R Soc London 170 1879 727 845
6. J.C. Maxwell On stresses in rarified gases arising from inequalities of temperature Phil Trans R Soc London 170 1879 231 256
7. A. Einstein Zur theorie der radiometrerkrafte Zeitschrift fur Physik 27 1924 1 5
8. H.E. Marsh Further experiments on the theory of the vane radiometer J Opt Soc Am 12 1926 135 148
9. G. Binning, C.F. Quate, and C.H. Gerber Atomic force microscope Phys Rev Lett 56 1986 930 933
10. P. Hinterdorfer, and Y.F. Dufrêne Detection and localization of single molecular recognition events using atomic force microscopy Nat Methods 3 2006 347 355
11. D.C. Wadsworth, and E.P. Muntz A computational study of radiometric phenomena for powering microactuators with unlimited displacements and large available forces J Microelectromech Syst 5 1 1996 59 65
12. M. Ota, T. Nakao, and M. Sakamoto Numerical simulation of molecular motion around laser microengine blades Math Comput Simul 55 2001 223 230
13. A. Passian, A. Wig, F. Meriaudeau, T.L. Ferrell, and T. Thundat Knudsen forces on microcantilevers J Appl Phys 92 10 2002 6326 6333
14. A. Passian, R.J. Warmack, T.L. Ferrell, and T. Thundat Thermal transpiration at the microscale: a Crookes Cantilever Phys Rev Lett 90 12 2003 124503
15. G. Benford, and J. Benford An aero-spacecraft for the far upper atmosphere supported by microwaves Acta Astronaut 56 2005 529 535
16. Selden N, Ngalande C, Gimelshein S, Muntz EP, Alexeenko A, Ketsdever A. Area and edge effects in radiometric forces. Physical Review E, submitted for publication.
17. Selden N, Ngalande C, Gimelshein N, Gimelshein S, Ketsdever A. Origins of radiometric forces on a circular vane with a temperature gradient. Journal of Fluid Mechanics, submitted for publication.
18. N. Selden, N. Gimelshein, S. Gimelshein, and A. Ketsdever Analysis of accommodation coefficients of noble gases on aluminum surface with an experimental/computational method Phys. Fluids 21 2009 073101 073108
19. G.A. Bird Molecular gas dynamics and the direct simulation of gas flows 1994 Clarendon Press Oxford
20. J. Fan, and C. Shen Statistical simulation of low-speed rarefied gas flows J. Computat. Phys. 167 2 2001 393 412 (Pubitemid 33652970)
21. C.R. Kaplan, and E.S. Oran Nonlinear filtering of low velocity gaseous micro-flows AIAA J 40 2002 82 90
22. F.G. Tcheremissine The conservative discrete ordinates method for solving of Boltzmann kinetic equation C. Shen, Proc XX int. symp. on rarefied gas dynamics 1997 Peking University Press Beijing, China 297 302
23. P.L. Bhatnagar, E.P. Gross, and M.A. Krook A model for collision processes in gases I: small amplitude processes in charged and neutral one-component systems Phys Rev 94 1954 511 525
24. L.H. Holway Numerical solutions for the BGK-model with velocity dependent collision frequency Proc. IV int. symp. on rarefied gas dynamics 1966 New York Academic Press 193 215
25. P. Andries, B. Perthame, P. Le Tallec, and J.P. Perlat The Gaussian BGK model of Boltzmann equation with small Prandtl numbers Eur. J. Mech. B-Fluids 19 2000 813 830
26. M.S. Ivanov, G.N. Markelov, and S.F. Gimelshein Statistical simulation of reactive rarefied flows: numerical approach and applications 1998 AIAA Paper 98-2669
27. Wadsworth DC, Gimelshein NE, Gimelshein SF, Wysong IJ. Assessment of translational anisotropy in rarefied flows using kinetic approaches. In: Proc. XXVI int. symp. on rarefied gas dynamics (Kyoto, Japan); 2008.
28. L. Mieussens Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries J Comp Phys 162 2000 429 466
29. Trott WM, Rader DJ, Castañeda JN, Torczynski JR, Gallis MA. Measurement of gas-surface accommodation. In: Proc. XXVI int. symposium on rarefied gas dynamics (Kyoto, Japan); 2008.