Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems, Part 2. Numerical examples

Abstract

A newly developed dual reciprocity boundary element method for solid-liquid phase change problems has been verified in this paper. Tests include numerical convergence studies for the transient Dirichlet jump problem with and without phase change, and the steady-state convective-diffusive problem with different material properties of the phases and phase change. Results are compared with the existing analytical solutions and with the results obtained by the finite volume and finite element methods. Excellent agreement has been obtained. The method turns out to be robust over the whole broad spectrum of conducted numerical tests. The axisymmeeryryc problem of direct chill continuous casting, where nonuniform meshes have been applied, serves as a ‘real’ problem example exhibiting nonlinear material properties, solidification over a temperature interval, and nonlinear boundary conditions.