COMPARISON OF NUMERICAL MODELLING TECHNIQUES FOR COMPLEX, TWO-DIMENSIONAL, TRANSIENT, HEAT-CONDUCTION PROBLEMS.

Brian Thomas, J. V. Samarasekera, J. K. Brimacombe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

As the first step in the mathematical modelling of two-dimensional heat flow and stress generation in a solidifying steel ingot with corrugations, this investigation was conducted to assess the accuracy, stability and cost of different numerical methods for solving complex, transient, heat-conduction problems involving non-linear boundary conditions, phase change, variable properties and irregular geometry. Several different formulations for the standard finite-element method, the matrix method of Ohnaka and the alternating-direction implicit finite-difference method have been examined; and predictions using these techniques have been compared to analytical solutions for two relevant problems.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
EditorsJ.A. Dantzig, John T. Berry
PublisherMetallurgical Soc of AIME
Pages3-11
Number of pages9
ISBN (Print)0895204770
StatePublished - Dec 1 1984

ASJC Scopus subject areas

  • Engineering(all)

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