期刊
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
卷 11, 期 2-3, 页码 172-194出版社
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615530110381584
关键词
natural convection; finite element method
An h-adaptive finite element code for solving coupled Navier-Stokes and energy equations is used to solve the thermally driven cavity problem for Rayleigh numbers at which no steady state exists (greater than 1.9 x 10(8)). This problem is characterised by sharp thermal and low boundary layers and highly advection dominated transport, which normally requires special algorithms, such as streamline upwinding to achieve stable and smooth solutions. It will be shown that h-adaptivity provides a suitable solution to both of these problems (sharp gradients and advection dominated transport). Adaptivity is also very effective in resolving the flow physics, characterised by unsteady internal waves, are calculated for three Rayleigh numbers; 2 x 10(8), 3 x 10(8) and 4 x 10(8) using a Prandtl number of 0.71 and results are compared with other published results.
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