Application of the Conservation Element and Solution Element Method in Numerical Modeling of Three-Dimensional Heat Conduction With Melting and/or Freezing

Author:

Ayasoufi Anahita1,Keith Theo G.1,Rahmani Ramin K.1

Affiliation:

1. Department of Mechanical, Industrial and Manufacturing Engineering, University of Toledo, Toledo, OH

Abstract

The conservation element and solution element (CE/SE) method, an accurate and efficient explicit numerical method for resolving moving discontinuities in fluid mechanics problems, is used to solve three-dimensional phase-change problems. Several isothermal phase-change cases are studied and comparisons are made to existing analytical solutions. The CE/SE method is found to be accurate, robust, and efficient for the numerical modeling of phase-change problems.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference36 articles.

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3. Alexiades, V., and Solomon, A. D., 1993, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, Washington, DC.

4. Rubinstei˘n, L. I., 1971, The Stefan Problem, Translations of Mathematical Monographs, 27, American Mathematical Society, Providence.

5. Elliott, C. M., and Ockendon, J. R., 1982, Weak and Variational Methods for Moving Boundary Problems, Pitman, New York.

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