Three-dimensional simulations of Marangoni-Benard convection in small containers by the least-squares finite element method

被引:2
作者
Yu, ST [1 ]
Jiang, BN
Wu, J
Duh, JC
机构
[1] Wayne State Univ, Detroit, MI 48202 USA
[2] NASA, Lewis Res Ctr, ICOMP, OAI, Cleveland, OH 44135 USA
基金
美国国家航空航天局;
关键词
D O I
10.1016/S0045-7825(97)00284-3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper reports a numerical study of the Marangoni-Benard (MB) convection in a planar fluid layer. The least-squares finite element method (LSFEM) is employed to solve the three-dimensional Stokes equations and the energy equation. First, the governing equations are reduced to be first-order by introducing variables such as vorticity and heat fluxes. The resultant first-order system is then cast into a div-curl-gad formulation, and its ellipticity and boundary conditions are illustrated. This numerical approach provides an equal-order discretization for velocity, pressure, vorticity, temperature and heat conduction fluxes. Numerical results reported include the critical Marangoni numbers (M-ac) for the onset of the convection in containers with various aspect ratios, and the planforms of supercritical MB flows. The numerical solutions compared favorably with the experimental results reported by Koschmieder and Prahl. (C) 1998 Elsevier Science S.A. All rights reserved.
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页码:71 / 88
页数:18
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