h‐adaptive finite element solution of unsteady thermally driven cavity problem

Mayne, David, Usmani, Asif and Crapper, Martin (2001) h‐adaptive finite element solution of unsteady thermally driven cavity problem. International Journal of Numerical Methods for Heat & Fluid Flow, 11 (2). pp. 172-195. ISSN 0961-5539

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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.

Item Type:	Article
Uncontrolled Keywords:	Natural convection, Finite element method
Subjects:	H200 Civil Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Becky Skoyles
Date Deposited:	08 Jun 2016 09:34
Last Modified:	12 Oct 2019 22:52
URI:	http://nrl.northumbria.ac.uk/id/eprint/27057

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