Author(s)

S.G. Ahmed & L.C. Wrobel

Abstract

Numerical solution of solidification problems using integral equations S.G. Ahmed, L.C. Wrobel Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton, SO40 7AA UK 1 Introduction Boundary integral equation methods are very convenient to use for solution of Stefan problems. In these methods, nodal points are located only on the bound- aries and move together with the phase change interface. This means that, for one-dimensional problems, there is no need for any mesh adjustment. For multi- dimensional problems, mesh adjustment is necessary but much easier to perform than in standard domain methods. The solution of Stefan problems based on boundary integral equation methods started in early 1970 with papers by Chuang & Szekely [1,2]. Other applications include those of Shaw [3], Wrobel [4], Heinlein et al. [5], Zabaras et al. [6], Hsieh et al. [7], DeLima-Silva Jr. and Wrobel [8], and others. This paper is a follow-up to the work described in [4] and [8], whic

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