Various Approaches for Solving Problems in Heat Conduction with Phase Change

Full Title: Various Approaches for Solving Problems in Heat Conduction with Phase Change

Abstract:

This paper treats a one dimensional phase-change problem, ’ice melting’, by a vertex-centered finite volume method. Numerical solutions are obtained by using two approaches where the first one is based on the heat conduction equation with the basic grid (improved by introducing a new adaptive mesh technique), latent heat source approach (LHA), while the second uses the equivalent thermodynamic parameters defined by considering the apparent heat capacity method (AHC).

A comparison between the two approaches is presented, furthermore the accuracy and flexibility of the numerical methods are verified by comparing the results with existing analytical solutions. Results indicate that phase-change problems can be handled easily with excellent accuracies by using the AHC method.

Paper presented by: F. Benkhaldoun and J.M. Herard