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An explicit scheme for coupling temperature and concentration fields in solidification models

An explicit scheme for coupling temperature and concentration fields in solidification models

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
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Last Modified: 14 Oct 2016 09:01
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/737

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