Author(s)

B. Pan, B. Q. Li and Y. Ruan

Abstract

This paper presents a boundary element approach to the solution of convection-diffusion problems with or without an internal free surface caused by the liquid-to-solid transition or solidification. Boundary element formulation for convection diffusion problems is presented, along with its numerical implementation and its application to both linear and nonlinear boundaries with and/or without internal free boundaries. The nonlinear boundaries are accounted for using the Newton-based iteration algorithm. Numerical results calculated using the boundary element method are presented and compared with solutions obtained analytically and by other numerical methods. 1 Introduction St

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