Voller, V.R., Mouchmov, A. and Cross, M. (2003) An explicit scheme for coupling temperature and concentration fields in solidification models. Applied Mathematical Modelling, 28 (1). pp. 79-94. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(03)00115-X)

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Abstract

A numerical scheme for coupling temperature and concentration fields in a general solidification model is presented. A key feature of this scheme is an explicit time stepping used in solving the governing thermal and solute conservation equations. This explicit approach results in a local point-by-point coupling scheme for the temperature and concentration and avoids the multi-level iteration required by implicit time stepping schemes. The proposed scheme is validated by predicting the concentration field in a benchmark solidification problem. Results compare well with an available similarity solution. The simplicity of the proposed explicit scheme allows for the incorporation of complex microscale models into a general solidification model. This is demonstrated by investigating the role of dendrite coarsening on the concentration field in the solidification benchmark problem.

Item Type:	Article
Additional Information:	[1] Published in: Applied Mathematical Modelling, Volume 28, Issue 1, January 2004 - Mathematical Modelling in Metals Processing.
Uncontrolled Keywords:	explicit scheme, coupling temperature and concentration fields, solidification models
Subjects:	Q Science > QA Mathematics Q Science > QD Chemistry
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
Related URLs:	Publisher
Last Modified:	14 Oct 2016 09:01
URI:	http://gala.gre.ac.uk/id/eprint/737

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