Application of the Conservation Element and Solution Element Method in Numerical Modeling of Axisymmetric Heat Conduction with Melting and/or Freezing

Abstract

The space-time conservation element and solution element (CE/SE) method, an accurate and efficient explicit numerical scheme for resolving moving discontinuities in fluid mechanics problems, is used to solve axisymmetric heat conduction problems with melting and/or freezing. The axisymmetric formulation is presented. Comparisons are made to existing analytical solutions. The CE/SE method is found to be accurate and robust for the numerical modeling of phase change problems.