APPLICATION OF THE HOMOGRAPHIC APPROXIMATION IN THE ENTHALPY METHOD FOR PHASE CHANGE PROBLEMS
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 February 1993
Abstract
The homographic approximation, in which the Heaviside step function is replaced by a continuous smooth curve, is applied to the enthalpy method for heat transfer problems with isothermal phase change. Both the finite difference and finite element implementations, based on the basic enthalpy, the apparent heat capacity and the source term formulations, are considered. A 1‐D Stefan problem of melting a solid is used as a test problem. The accuracy of the numerical solutions is measured globally using L2 error norms and comparison is made between the solutions using homographic approximation and those using linear approximation. The advantages of using homographic approximation are examined.
Keywords
Citation
YAO, M. and CHAIT, A. (1993), "APPLICATION OF THE HOMOGRAPHIC APPROXIMATION IN THE ENTHALPY METHOD FOR PHASE CHANGE PROBLEMS", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 3 No. 2, pp. 157-172. https://doi.org/10.1108/eb017523
Publisher
:MCB UP Ltd
Copyright © 1993, MCB UP Limited