WIT Press


Dual Reciprocity BEM Based On Time-stepping Scheme For The Solution Of Transient Heat Conduction Problems

Price

Free (open access)

Paper DOI

10.2495/BE030291

Volume

35

Pages

10

Published

2003

Size

354.69 kb

Author(s)

M. Tanaka, T. Matsumoto & S. Takakuwa

Abstract

Dual reciprocity BEM based on time-stepping scheme for the solution of transient heat conduction problems M. ~anaka', T. ~atsumoto' & S. ~akakuwa~ 1 Department of Mechanical Systems Engineering, Shinshu University, Japan 2 Graduate School of Shinshu University, Japan Abstract This paper is concerned with application of the dual reciprocity method to the timestepping BEM for the solution of the transient heat conduction problems in homogeneous as well as inhomogeneous materials. The integral equation formulation employs the fundamental solution of the Laplace equation for homogeneous materials, and hence domain integrals arise in the boundary integral equation. Furthermore, time derivative is approximated by the time-stepping method, and the domain integral also appears from this approximation. The domain integral concerning the "pseudo" initial condition at each time step is also transformed into a boundary integral via the same dual reciprocity method. The details of the proposed DRBEM are pr

Keywords