期刊
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
卷 10, 期 5-6, 页码 598-615出版社
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615530010347187
关键词
finite element method; flow; temperature
An h-adaptive finite element code for solving coupling Navier-Stokes and energy equations is used to solve the thermally driven cavity problem. The buoyancy forces are represented using the Boussinesq approximation. The problem is characterised by very thin boundary layers at high values of Rayleigh number (> 10(6)). However, steady state solutions are achievable with adequate discretisation. This is where the auto-adaptive finite element method provides a powerful means of achieving optimal solutions without having to pre-define a mesh, which may be either inadequate or too expensive. Steady state and transient results are given for six different Rayleigh numbers in the range 10(3) to 10(8) for a Prandtl number of 0.71. The use of h-adaptivity, based on a posteriori error estimation, is found to ensure a very accurate problem solution ar a reasonable computational cost.
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