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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 47, 2005 - Issue 8
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Original Articles

DIRECT-SIMULATION MONTE CARLO MODELING ON TWO-DIMENSIONAL RAYLEIGH-BÉNARD INSTABILITIES OF RAREFIED GAS

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Pages 805-823 | Received 25 May 2004, Accepted 18 Oct 2004, Published online: 24 Feb 2007

REFERENCES

  • S. Chandrasekhar , Hydrodynamic and Hydromagnetic Stability , pp. 9 – 75 , Dover , New York , 1981 .
  • K. T. Yang , Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures , ASME J. Heat Transfer , vol. 110 , pp. 1191 – 1203 , 1988 .
  • E. Koschmieder , Bénard Cells and Taylor Vortices, Part I , Cambridge University Press , Cambridge , UK , 1993 .
  • E. Bodenschatz , W. Pesch , and G. Ahlers , Recent Developments in Rayleigh-Bénard Convection , Annu. Rev. Fluid Mech. , vol. 32 , pp. 709 – 778 , 2000 . [CROSSREF]
  • G. A. Bird , The Direct Simulation Monte Carlo Method: Current Status and Perspectives , in M. Mareschal (ed.), Microscopic Simulations of Complex Flows , pp. 1 – 13 , Plenum , New York , 1990 .
  • A. L. Garcia , Hydrodynamic Fluctuations and the Direct Simulation Monte Carlo Method , in M. Mareschal (ed.), Microscopic Simulations of Complex Flows , pp. 141 – 162 , Plenum , New York , 1990 .
  • A. L. Garcia and C. Penland , Fluctuating Hydrodynamics and Principal Oscillation Pattern Analysis , J. Stat. Phys. , vol. 64 , no. 5/6 , pp. 1121 – 1132 , 1991 .
  • S. Stefanov and C. Cercignani , Monte Carlo Simulation of Bénard's Instability in a Rarefied Gas, Eur. J. Mech., B/Fluids , vol. 11, no. 5, pp. 543–553, 1992.
  • T. Watanabe , H. Kaburaki , and M. Yokokawa , Simulation of a Two-Dimensional Rayleigh-Bénard System Using the Direct Simulation Monte Carlo Method , Phys. Rev. E , vol. 49 , no. 5 , pp. 4060 – 4064 , 1994 . [CROSSREF]
  • E. Golshtein and T. Elperin , Convective Instabilities in Rarefied Gases by Direct Simulation Monte Carlo Method , J. Thermophys. Heat Transfer , vol. 10 , no. 2 , pp. 250 – 256 , 1996 . [CSA]
  • T. Watanabe and H. Kaburaki , Particle Simulation of Three-Dimensional Convection Patterns in a Rayleigh-Bénard System , Phys. Rev. E , vol. 56 , no. 1 , pp. 1218 – 1221 , 1997 . [CROSSREF]
  • H. Hirano , M. Seo , and H. Ozoe , Two-Dimensional Numerical Computation for Rayleigh-Bénard Convection with Both the Navier–Stokes Equation and the Boltzmann Equation , Modeling Simul. Mater. Sci. Eng. , vol. 10 , pp. 765 – 780 , 2002 . [CROSSREF]
  • S. Stefanov , V. Roussinov , and C. Cercignani , Rayleigh-Bénard Flow of a Rarefied Gas and Its Attractors. I. Convection Regime , Phys. Fluids , vol. 14 , no. 7 , pp. 2255 – 2269 , 2002 . [CROSSREF]
  • S. Stefanov , V. Roussinov , and C. Cercignani , Rayleigh-Bénard Flow of a Rarefied Gas and Its Attractors. II. Chaotic and Periodic Convection Regime , Phys. Fluids , vol. 14 , no. 7 , pp. 2270 – 2288 , 2002 . [CROSSREF]
  • S. Chapman and T. G. Cowling , The Mathematical Theory of Non-uniform Gases , 3d ed., p. 168 , Cambridge University Press , London , UK , 1970 .
  • G. A. Bird , Molecular Gas Dynamics and Direct Simulation of Gas Flow , chap. 11 , Clarendon , Oxford , New York , 1994 .
  • J. P. Van Doormaal and G. D. Raithby , Enhancements of SIMPLE Method for Predicting Incompressible Fluid Flows , Numer. Heat Transfer , vol. 7 , pp. 147 – 163 , 1984 .

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