WIT Press


A Front-tracking Boundary Element Formulation For Solidification/melting Problems

Price

Free (open access)

Volume

5

Pages

9

Published

1994

Size

637 kb

Paper DOI

10.2495/HT940291

Copyright

WIT Press

Author(s)

W. DeLima-Silva, Jnr & L.C. Wrobel

Abstract

A front-tracking boundary element formulation for solidification/melting problems W. DeLima-Silva, Jnr & L.C. Wrobel Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton S040 7AA, UK ABSTRACT This paper presents a BEM formulation for phase change problems using a time- dependent fundamental solution, a convolution-type time-marching scheme and a predictor-corrector iterative algorithm. This formulation can be applied to the cases of one or more phases, but special attention is given herein to one-phase melting problems with Neumann boundary conditions. INTRODUCTION Problems of heat transfer with change of state are of importance in several branches of engineering. From the mathematical point of view, the inherent nonlinearity of such moving boundary problems poses significant theoretical dif- ficulties, while their practical application generally requires a numerical method of solution. In this paper, a BEM technique is applied to one-ph

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