Three-dimensional Boundary Element Method
Model In The Frequency Domain For Simulating
Dynamic Heat Conduction
Author(s)
J. Prata, A. Tadeu & N. Simões
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.
Keywords: heat conduction, three-dimensional sources, three-dimensional
boundary element method, singular integrals.
1 Introduction
The study of heat transfer has been increasingly important in many branches of
engineering. Numerous works have been published proposing different models,
based on both analytical [1] and numerical analysis, to study heat diffusion
through different systems and materials. Different approaches could be taken
into account in a numerical analysis, depending whether the numerical method
is based on domain-discretization such as finite elements (FEM) [2] and finite
differences (FDM) [3, 4] or on boundary discretization such as the boundary
element method (BEM) [5, 6] . More recently, some researchers have been
focused on the development of meshless methods to study physical phenomenon
Keywords
heat conduction, three-dimensional sources, three-dimensional
boundary element method, singular integrals.
Related Book
Other papers in this volume
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