Melting from an isothermal vertical wall. Synthesis of a numerical comparison exercise

  • Dominique Gobin Université Paris-Sud. Bât
  • Patrick Le Quéré Université Paris-Sud. Bât

Abstract

This paper provides an analysis of the results of a comparison exercise on the numerical 2D solution of melting from a vertical wall, dominated by natural convection in the liquid phase. The thirteen contributions to this exercise cover the great variety of mathematical models and numerical procedures most commonly used in this field. The main conclusions presented at the AMIF Workshop (PCC99) held in Warsaw in June 1999 and at the Moving Boundaries Seminar in Ljubljana are summarized in the paper. They emphasize the need for the definition of such reference validation tests.

Keywords

References

[1] M. Bareiss, H. Beer. Experimental investigation of melting heat transfer with regard to different geometric arrangements. Int. Comm. Heat Mass Transfer, 11: 323- 333, 1984.
[2] C. Beckermann, R. Viskanta. Effect of solid sub cooling on natural convection melting of a pure metal. J. Heat Transfer, 111: 416- 424, 1989.
[3] C. Bénard, D. Gobin, F. Martinez. Melting in rectangular enclosures: experiments and numerical simulations. J. Heat Transfer, 107: 794- 803, 1985.
[4] O. Bertrand, B. Binet, H. Combeau, S. Couturier, Y. Delannoy, D. Gobin, M. Lacroix, P. Le Quéré, M. Médale, J. Mencinger, H. Sadat, G. Vieira. Melting driven by natural convection. A comparison exercise: first results. Int. Journal of Thermal Sciences, 38: 5- 26, 1999.
[5] T.A. Campbell, J.N. Koster. Visualization of solid-liquid interface morphologies in gallium subject to natural convection. J. Crystal Growth, 140: 414- 425, 1994.
Published
Mar 30, 2023
How to Cite
GOBIN, Dominique; QUÉRÉ, Patrick Le. Melting from an isothermal vertical wall. Synthesis of a numerical comparison exercise. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 3, p. 289-306, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1236>. Date accessed: 03 july 2024.
Section
Articles