WIT Press


A Time Domain Galerkin Boundary Element Method For A Heat Conduction Interface Problem

Price

Free (open access)

Paper DOI

10.2495/BE090171

Volume

49

Pages

12

Page Range

187 - 198

Published

2009

Size

961 kb

Author(s)

R. Vodička

Abstract

A heat conduction problem with a material or other type interface is solved. The numerical method used includes a boundary element technique presented as a Galerkin boundary element method for the space variables together with convolution quadrature in time. The treatment of the interface conditions enabled them to be formulated in a weak sense, with generally curved interfaces and independent meshing of each side of the interfaces. Results of the examples present influences of non-conformingly meshed interfaces, a comparison with a known analytical solution, and the time evolution of the interface solution with different material properties of the substructures adjacent to the interface. Keywords: boundary element method, interface problem, non-matching meshes, heat conduction, convolution quadrature.

Keywords

boundary element method, interface problem, non-matching meshes, heat conduction, convolution quadrature