The aim of this paper is to categorize the major fixed grid formulations and solution methods for conduction controlled phase change problems. Using a two phase model of a solid/liquid phase change, the basic enthalpy equation is derived. Starting from this equation, a number of alternative formulations are obtained. All the formulations are reduced to a standard form. From this standard form, finite element and finite volume discretizations are developed. These discretizations are used as the basis for a number of fixed grid numerical solution techniques for solidification phase change systems. In particular, various apparent capacity and source based enthalpy methods are explored.
|Original language||English (US)|
|Number of pages||24|
|Journal||International Journal for Numerical Methods in Engineering|
|State||Published - Sep 1990|
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics