Title

Addressing The Corner Problem In Bem Solution Of Heat Conduction Problems

Abstract

A numerical problem which features prominently in the implementation of the boundary‐element method (BEM) for the solution of heat‐conduction problems arises from double‐valued heat fluxes at boundary corners. This problem is readily dealt with by explicitly treating nodal heat fluxes as double‐valued prior to assembly of the nodal equations. This formulation is very flexible as it also permits imposing discontinuous thermal conditions at any boundary node. However, at corner nodes where temperature only is prescribed, the scheme leads to two unknowns, while only one nodal BEM equation is available there. An additional equation which closely follows the previous work of Walker and Fenner is derived for these nodes, and this provides sufficient information to resolve the upstream and downstream values of the heat flux at the temperature node. The additional equation is general, is free of heuristic constraints, and is applicable through the wide range of acute, shallow, obtuse and re‐entrant angles encountered in practice. Numerical examples are used to compare the present method with the Walker and Fenner approach and with analytical solutions. Results indicate both improved accuracy and generality, thus validating the present method. Copyright © 1994 John Wiley & Sons, Ltd

Publication Date

1-1-1994

Publication Title

Communications in Numerical Methods in Engineering

Volume

10

Issue

5

Number of Pages

385-392

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/cnm.1640100504

Socpus ID

0028431193 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0028431193

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