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

V. R. Voller, A. Mouchmov, M. Cross

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)79-94
Number of pages16
JournalApplied Mathematical Modelling
Volume28
Issue number1
DOIs
StatePublished - Jan 2004

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