Three-dimensional boundary element method model in the frequency domain for simulating dynamic heat conduction

Abstract

The boundary element method (BEM) is a suitable numerical method used to study heat diffusion by conduction, which only requires the discretization of the boundary of the material discontinuities. However, one of the biggest challenges to this technique is the integration of mathematical singularities. In this work the BEM is used to simulate the heat conduction in the vicinity of 3D inclusions, when heated by dynamic heat point sources. Continuity of temperatures and heat fluxes are prescribed along the boundary interfaces. All boundary interfaces are discretized using constant elements. The proposed algorithm is verified by means of known analytical solutions for cylindrical inclusions.