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ABSTRACT

A meshless solution of binary alloy solidification

Božidar Šarler, Gregor Kosec, Robert Vertnik

The International Conference on Computational & Experimental Engineering and Sciences 2009, 11(2), 53-54. https://doi.org/10.3970/icces.2009.011.053

Abstract

This paper explores the application of the mesh-free Local Radial Basis Function Collocation Method (LRBFCM) [1] in solution of coupled heat transfer and fluid flow problems associated with solidification of a binary alloy. The involved temperature, velocity, species and pressure fields are represented on overlapping sub-domains through collocation by using multiquadrics Radial Basis Functions (RBF). The involved first and second derivatives of the fields are calculated from the respective derivatives of the RBF’s. The energy and momentum equations are solved throughexplicit time stepping. The pressure-velocitycouplingis calculated iteratively, with pressure correction, predicted from the local continuity equation violation [2,3]. The solution procedure is demonstrated in simulation of solidification of 8 wt % Pb-Sn alloy and 5 wt % Sn-Pb alloy in rectangular cavity at conditions, defined in [4]. The numerical examples include studies with different uniform discretization and its influence on final macrosegregation map. The solution is assessed by comparison with the reference results of the finite volume and finite element method. The advantages of the method are simplicity, accuracy and straightforward applicability in non-uniform node arrangements. The methodology will be use in complementing our heat transfer model [5] of the continuouscasting of steel.

Cite This Article

APA Style
Šarler, B., Kosec, G., Vertnik, R. (2009). A meshless solution of binary alloy solidification. The International Conference on Computational & Experimental Engineering and Sciences, 11(2), 53-54. https://doi.org/10.3970/icces.2009.011.053
Vancouver Style
Šarler B, Kosec G, Vertnik R. A meshless solution of binary alloy solidification. Int Conf Comput Exp Eng Sciences . 2009;11(2):53-54 https://doi.org/10.3970/icces.2009.011.053
IEEE Style
B. Šarler, G. Kosec, and R. Vertnik, “A meshless solution of binary alloy solidification,” Int. Conf. Comput. Exp. Eng. Sciences , vol. 11, no. 2, pp. 53-54, 2009. https://doi.org/10.3970/icces.2009.011.053



cc Copyright © 2009 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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