Pericleous, K.A. ORCID: 0000-0002-7426-9999 , Cross, M., Moran, G., Chow, P. and Chan, K.S. (1996) Free surface Nvier-Stokes flows with simultaneous heat transfer and solidification/melting. Advances in Computational Mathematics, 6 (1). pp. 295-308. ISSN 1019-7168 (Print), 1572-9044 (Online) (doi:https://doi.org/10.1007/BF02127709)

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Abstract

A mathematical model to analyse some key aspects of the metal cast process is described involving the filling of the mould by liquid metal and simultaneously, undergoing both cooling and solidification (re-melting) phase change. A computational solution procedure based upon a finite volume discretisation approach, on both structured and unstructured meshes, is described. The overall flow solution procedure is based on the pressure correction algorithm SIMPLE suitably adapted to: (a) solve for the free surface with minimal smearing by the SEA algorithm, and (b) solve for the solidification/melting phase change using an enthalpy conservation algorithm developed by Voller, but with its root in the work of Crank many years ago.

Item Type:	Article
Additional Information:	[1] Dedicated to Professor J. Crank on the occasion of his 80th birthday.
Uncontrolled Keywords:	free surface flow, casting, solidification
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
Related URLs:	Publisher
Last Modified:	02 Mar 2019 15:52
URI:	http://gala.gre.ac.uk/id/eprint/5950

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