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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/5735

Title: An artificial compressibility CBS method for modelling heat transfer and fluid flow in heterogeneous porous materials
Authors: Malan, AG
Lewis, RW
Keywords: Edge-based
Characteristic based split methods
CBS methods
Artificial compressibility CBS
Matrix-free
Forced convection
Heterogeneous porous materials
Issue Date: Aug-2011
Publisher: Wiley
Citation: Malan, AG and Lewis, RW. 2011. An artificial compressibility CBS method for modelling heat transfer and fluid flow in heterogeneous porous materials. International Journal for Numerical Methods in Engineering, vol. 87(1-5), pp 412-423
Series/Report no.: Workflow;8779
Abstract: This work is concerned with the development of an artificial compressibility version of the characteristicbased split (CBS) method proposed by Zienkiewicz and Codina (Int. J. Numer. Meth. Fluids 1995; 20:869–885). The technique is applied to modelling both forced convection as well as heat transfer and fluid flow through heterogeneous saturated porous materials via an edge-based finite volume discretization scheme. A volume-averaged set of local thermal disequilibrium governing equations is employed to describe the general case which allows for the modelling of effects such as wall channelling and wall-bed radiative heat transfer. The resulting set of coupled non-linear partial differential equations is solved in a matrix-free manner with spatial discretization being effected with a compact vertex-centred finite volume edge-based discretization scheme. The latter was done in the interest of efficiency and accuracy. The developed scheme is validated via application to problems ranging from forced convection to natural convection in heterogeneous materials, and shown to be stable, robust and accurate.
Description: Copyright: 2011 John Wiley & Sons, Ltd. This is an ABSTRACT ONLY
URI: http://onlinelibrary.wiley.com/doi/10.1002/nme.3125/pdf
http://hdl.handle.net/10204/5735
ISSN: 0029-5981
Appears in Collections:Advanced mathematical modelling and simulation
General science, engineering & technology

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