Author(s)

A.J. Kassab & R.S. Nordlund

Abstract

Two useful techniques for heat transfer BEM: addressing the corner problem and use of the FFT for turning domain integrals into boundary integrals A.J. Kassab, R.S. Nordlund Department of Mechanical and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816-0450, ABSTRACT Two numerical problems which feature prominently in the implementation of the boundary element method for the solution of heat conduction problems include double-valued heat fluxes at boundary corners and the evaluation of domain integrals due to distributed energy generation terms. The first problem is dealt with by explicitly treating nodal heat fluxes as double valued prior to assembly of the nodal equations. An additional equation is derived for corner nodes across which the temperature is prescribed. 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 enco

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