Rosam, J., Jimack, P.K. and Mullis, A. (2007) A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification. Journal of Computational Physics, 225 (2). pp. 1271-1287. ISSN 0021-9991
Abstract
A fully-implicit numerical method based upon adaptively refined meshes for the simulation of binary alloy solidification in 2D is presented. In addition we combine a second-order fully-implicit time discretisation scheme with variable steps size control to obtain an adaptive time and space discretisation method. The superiority of this method, compared to widely used fully-explicit methods, with respect to CPU time and accuracy, is shown. Due to the high non-linearity of the governing equations a robust and fast solver for systems of nonlinear algebraic equations is needed to solve the intermediate approximations per time step. We use a nonlinear multigrid solver which shows almost h-independent convergence behaviour.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | Copyright © 2007 Elsevier Inc. This is an author produced version of a paper subsequently published in 'Journal of Computational Physics'. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | phase-field simulation, binary alloys, mesh adaptivity, fully-implicit method, nonlinear multigrid, variable time step control |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) > Institute for Materials Research (Leeds) |
Depositing User: | Miss Jamie Grant |
Date Deposited: | 10 Mar 2009 10:43 |
Last Modified: | 25 Oct 2016 01:09 |
Published Version: | http://dx.doi.org/10.1016/j.jcp.2007.01.027 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.jcp.2007.01.027 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:7940 |