Spherical solidification by the enthalpy method and the heat balance integral method

A numerical scheme based on the enthalpy method is applied to spherical solidification. The method provides a means to track the position of the phase front with very little extra effort. The method is compared to the heat balance integral method (HBIM), a front tracking method, which has been previously applied successfully to plane and cylindrical geometries. The results show that the two methods compare well over a wide range of the Stefan number, except when the Stefan number is small. (C) 2000 Elsevier Science Inc. All rights reserved.