Author(s)

B. Sarler & A. Kosir

Abstract

Application of the dual reciprocity boundary element method on Stefan problems B.Sarler, A. Kosir Jozef Stefan Institute, University of Ljubljana, Ljubljana, Slovenia ABSTRACT This paper describes the application of the dual reciprocity boundary element method for the solution of Stefan problem that appears when treating multidimensional Fourier conduction melting and solidification in rigid systems. The physical model is based on the mixture contin- uum formulation and includes temperature dependent thermal conductivities and specific heats of the solid and liquid phase. Phase-change could take place at distinct melting temperature or continuously on a solidus-liquidus temperature interval. The resulting governing equation is re- formulated by the Kirchhoff transform and cast in the latent heat source term shape. Boundary element method solution procedure is structured by the Green's function of the Laplace equa- tion and by the dual reciprocity boundary-only representation of dom

Keywords