A Front-tracking Boundary Element Formulation For Solidification/melting Problems
Price
Free (open access)
Transaction
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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