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Advanced numerical methods for the simulation of alloy solidification with high Lewis number

Rosam, J., Mullis, A.M. and Jimack, P.K. (2007) Advanced numerical methods for the simulation of alloy solidification with high Lewis number. In: SP07 Proceedings of the 5th Decennial International Conference on Solidification Processing. Department of Engineering Materials, University of Sheffield. , Sheffield , pp. 26-30. ISBN ISBN-13: 978-0-9522507-4-6

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Abstract

A fully-implicit numerical method based upon adaptively refined meshes for the thermal-solutal simulation of alloy solidification in 2D is presented. In addition we combine an unconditional stable second-order fully-implicit time discretisation scheme with variable step size control to obtain an adaptive time and space discretisation method, where a robust and fast multigrid solver for systems of non-linear algebraic equations is used to solve the intermediate approximations per time step. For the isothermal case, the superiority of this method, compared to widely used fully-explicit methods, with respect to CPU time and accuracy, has been demonstrated and published previously. Here, the new proposed method has been applied to the thermalsolutal case with high Lewis number, where stability issues and time step restrictions have been major constraints in previous research.

Item Type: Book Section
Copyright, Publisher and Additional Information: Copyright © 2007 Howard Jones on behalf of the named authors.
Keywords: Numerical methods, alloy solidification
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Engineering (Leeds) > School of Process, Environmental and Materials Engineering (Leeds) > Institute for Materials Research (Leeds)
Depositing User: Repository Officer
Date Deposited: 21 Aug 2007 17:09
Last Modified: 08 Feb 2013 17:07
Status: Published
Publisher: Department of Engineering Materials, University of Sheffield.
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/2638

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