Accurate solutions to the square thermally driven cavity at high Rayleigh number

作者: P. Le Quéré

DOI: 10.1016/0045-7930(91)90025-D

关键词:

摘要: Accurate solutions to the equations of natural convection in a square 2-D differentially heated cavity with adiabatic top and bottom walls are given for values Ra up 108. These obtained pseudo-spectral Chebyshev algorithm by increasing spatial resolution 128 × polynomial expansion.

参考文章(17)
Patrick Bontoux, Jean Marc Vanel, Roger Peyret, A pseudo-spectral solution of vorticity-stream function equations using the influence matrix technique In Von Karman Inst. for Fluid Dynamics Computational Fluid Dynamics. ,vol. 1, pp. 463- 475 ,(1986)
C.D. Upson, P.M. Gresho, R.L. Lee, Finite element simulations of thermally induced convection in an enclosed cavity NASA STI/Recon Technical Report N. ,vol. 80, pp. 30702- ,(1980) , 10.2172/5371141
R.A.W.M. Henkes, Natural-convection boundary layers TU Delft, Delft University of Technology. ,(1990)
Laurette S Tuckerman, Divergence-free velocity fields in nonperiodic geometries Journal of Computational Physics. ,vol. 80, pp. 403- 441 ,(1989) , 10.1016/0021-9991(89)90108-3
Samuel Paolucci, Donald R. Chenoweth, Transition to chaos in a differentially heated vertical cavity Journal of Fluid Mechanics. ,vol. 201, pp. 379- 410 ,(1989) , 10.1017/S0022112089000984
Dale B Haidvogel, Thomas Zang, The Accurate Solution of Poisson's Equation by Expansion in Chebyshev Polynomials Journal of Computational Physics. ,vol. 30, pp. 167- 180 ,(1979) , 10.1016/0021-9991(79)90097-4
T. Saitoh, K. Hirose, High-accuracy bench mark solutions to natural convection in a square cavity Computational Mechanics. ,vol. 4, pp. 417- 427 ,(1989) , 10.1007/BF00293047
D. R. Chenoweth, S. Paolucci, Natural convection in an enclosed vertical air layer with large horizontal temperature differences Journal of Fluid Mechanics. ,vol. 169, pp. 173- 210 ,(1986) , 10.1017/S0022112086000587
G. De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution International Journal for Numerical Methods in Fluids. ,vol. 3, pp. 249- 264 ,(1983) , 10.1002/FLD.1650030305