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Title: H‐adaptive finite element solution of unsteady thermally driven cavity problem
Authors: Mayne, DA
Usmani, AS
Crapper, M
Keywords: Natural convection;Finite element method
Issue Date: 2001
Publisher: Emerald
Citation: International Journal of Numerical Methods for Heat & Fluid Flow, 11 (2): pp. 172 - 195, (2001)
Abstract: 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 × 108). This problem is characterised by sharp thermal and flow 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 × 108, 3 × 108 and 4 × 108 using a Prandtl number of 0.71 and results are compared with other published results.
ISSN: 0961-5539
Appears in Collections:Dept of Mechanical Aerospace and Civil Engineering Research Papers

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