Numerical solutions for the convection-dominated melting in a rectangular c
avity are presented. The enthalpy-porosity model is employed as the mathema
tical model. This model is applied in conjunction with the EIT method to de
tect boundary movement in a phase changing environment. The absorption and
evolution of latent heat during the phase change is dealt with by the entha
lpy-based energy equation. This seems to be more efficient than resolving t
he temperature-based energy equation. The velocity switch-off, which is req
uired when solid changes into liquid, is modeled by the porous medium assum
ption. For efficiency and simplicity of the solution procedure, this paper
proposes a simple algorithm, which iterates the temperature and the liquid
fraction of the cells comprising the front layer. The numerical results agr
ee reasonably well with the experimental data and other previous works usin
g the transformed-grid system.