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