On Numerical Methods Used in Mathematical Modeling of Phase Change in Liquid Metals

[+] Author and Article Information
D. Poirier

Department of Mechanical Engineering, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada

M. Salcudean

Department of Mechanical Engineering, University of British Columbia, Vancouver, B.C., V6T 1W5, Canada

J. Heat Transfer 110(3), 562-570 (Aug 01, 1988) (9 pages) doi:10.1115/1.3250529 History: Received January 06, 1987; Online October 20, 2009


The work presents an analysis and comparative evaluation of different methods used for the numerical solution of heat conduction with phase change problems. Both freezing (melting) water as well as solidifying liquid metal problems are examined. Emphasis is placed on weak formulations as they tend to be simple to program and easily implemented in existing single-phase codes. A new method based on the apparent capacity technique is proposed. In this technique an “effective capacity” is computed, based on the integration of temperature profiles over the nodal volumes. This method shows significantly better performance when compared with other methods for the numerical analysis of solidifying metals.

Copyright © 1988 by ASME
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