Simulations of pressure-driven flows through channels and pipes with unified flow solver

Vacuum

Volumn 86, Issue 11, 2012, Pages 1717-1724

  Aristov, V V ^a   Frolova, A A ^a   Zabelok, S A ^a   Arslanbekov, R R ^b   Kolobov, V I ^b  

^a DORODNICYN COMPUTING CENTER   (Russian Federation)

^b DYNAMICS RESEARCH CORPORATION   (United States)

Author keywords

Adaptive mesh refinement; Boltzmann kinetic equation; Discrete velocity method; Microflows; Octree Cartesian mesh; Rarefied gas dynamics; Unified flow solver

Indexed keywords

BOLTZMANN EQUATION; FLOW SIMULATION; GAS DYNAMICS; INTEGRAL EQUATIONS; KINETIC ENERGY; KINETIC THEORY; KINETICS; MESH GENERATION; NUMERICAL ANALYSIS; NUMERICAL METHODS;

ADAPTIVE MESH REFINEMENT; BOLTZMANN KINETIC EQUATIONS; CARTESIAN MESH; DISCRETE VELOCITY METHOD; MICROFLOWS; RAREFIED GAS DYNAMICS; UNIFIED FLOW SOLVERS;

MONTE CARLO METHODS;

EID: 84861895795     PISSN: 0042207X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.vacuum.2012.02.043     Document Type: Article

References (34)

1. S. Colin Rarefaction and compressibility effects on steady and transient gas flows in microchannels Microfluid Nanofluid 1 2005 268 279
2. Y. Sone Kinetic theory and fluid dynamics 2002 Birkhausen Boston
3. P. Degond, G. Dimarco, and L. Mieussens A multiscale kinetic-fluid solver with dynamic localization of kinetic effects J Comp Phys 229 2010 4907 4918
4. V.I. Kolobov, R.R. Arslanbekov, V.V. Aristov, A.A. Frolova, and S.A. Zabelok Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement J Comp Phys 223 2007 589 608
5. V.V. Aristov Direct methods for solving the Boltzmann equation and study of non-equilibrium flows 2001 Kluwer Academic Publishers Dordrecht
6. J.S. Stewart Mass flow rate for nearly-free molecular slit flow J Fluid Mech 35 3 1969 599 608
7. M. Hasegawa, and Y. Sone Rarefied gas flow through a slit Phys Fluids A 3 3 1991 466 477
8. C.H. Chung, D.R. Jeng, K.J. De Witt, and T.G. Keith Jr. Numerical simulation of rarefied gas flow through a slit J Thermophys Heat Transfer 6 1 1992 27 34
9. F. Sharipov Rarefied gas flow through a slit: influence of the gas-surface interaction Phys Fluids 8 1 1996 262 268
10. F. Sharipov Non-isothermal rarefied gas flow through a slit Phys Fluids 9 6 1997 1804 1810
11. F. Sharipov Numerical simulation of rarefied gas flow through a thin orifice J Fluid Mech 518 2004 35 60
12. F. Sharipov, and V. Seleznev Data on internal rarefied gas flows J Phys Chem Ref Data 27 3 1998 657 706
13. Sharipov F. Benchmark problems in rarefied gas dynamics. Vacuum, in this issue, doi:10.1016/j.bbr.2011.03.031.
14. S. Popinet Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries J Comp Phys 190 2003 572 600 http://gfs.sourceforge.net(2012)
15. F.G. Tcheremissine Direct numerical solution of the Boltzmann equation AIP Conf Proc 762 2005 677 685
16. Solution of the Boltzmann equation for high-speed flows Comp Math Math Phys 46 2006 315 327
17. Solution of the Boltzmann equation for low-speed flows Transp Theor Stat Phys 37 2008 564 572
18. N.M. Korobov Exponential sums and their applications 2001 Springer Berlin
19. R.R. Arslanbekov, V.I. Kolobov, and A.A. Frolova Analysis of compressible viscous flow solvers with adaptive Cartesian mesh AIAA 2011 3381
20. V.I. Kolobov, and R.R. Arslanbekov Towards adaptive kinetic-fluid simulations of weakly ionized plasmas J Comp Phys 231 2012 839 869
21. D.A. Lockerby, J.M. Reese, and H. Struchtrup Switching criteria for hybrid rarefied gas flow solvers Proc R Soc A Math Phys Eng Sci 465 2009 1581 1598
22. T.E. Schwartzentruber, and I.D. Boyd A hybrid particle-continuum method applied to shock waves J Comp Phys 215 2006 402 416
23. G.F. Carey Computational grids: generation, adaptation and solution strategies 1997 Taylor & Francis Bristol
24. H. Sagan Space filling curves 1994 Springer Berlin
25. F. Sharipov, and D. Kozak Rarefied gas flow through a thin slit into vacuum simulated by the Monte Carlo method over the whole range of the Knudsen number J Vac Sci Technol A 27 3 2009 479 484
26. I. Graur, A.P. Polikarpov, and F. Sharipov Numerical modeling of rarefied gas flow through a slit into vacuum based on the kinetic equation Comput Fluids 49 2011 87 99
27. Graur I, Polikarpov AP, Sharipov F. Numerical modeling of rarefied gas flow through a slit at arbitrary gas pressure ratio based on the kinetic equation. Z Angew Math Phys 2011, Springer Basel AG, doi:10.1007/s00033-011- 0178-4.
28. O. Sazhin Gas flow through a slit into a vacuum in a wide range of rarefaction JETP 107 2008 162 169
29. O. Sazhin Gas molecule-molecule interaction and the gas-surface scattering effect on the rarefied gas flow through a slit into a vacuum JETP 108 2009 874 879
30. F. Sharipov, S. Varoutis, Chr Day, and D.V. Kozak Benchmark problem: direct simulation Monte Carlo of gas flow through a slit and channel. Abstract 64th IUVSTA Workshop. Leinsweiler: Germany 2011 p. 45
31. O. Sazhin ,Erratum: Rarefied gas flow through a channel of finite length into a vacuum (JETP (2009) 109: 4 (700-706)), Journal of Experimental and Theoretical Physics, 2010; 111(6): 1054
32. O. Sazhin Impact of the gas-surface scattering and gas molecule-molecule interaction on the mass flow rate of the rarefied gas through a short channel into a vacuum J Vac Sci Technol A 28 2010 1393 1398
33. S. Varoutis, D. Valougeorgis, O. Sazhin, and F. Sharipov Rarefied gas flow through short tubes into vacuum J Vac Sci Technol A 26 6 2008 228 238
34. S. Varoutis, D. Valougeorgis, and F. Sharipov Simulation of gas flow through tubes of finite length over the whole range of rarefaction for various pressure drop ratios J Vac Sci Technol A 27 6 2009 1377 1391