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Numerical testing of quantitative phase-field models with different polynomials for isothermal solidification in binary alloys

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Title: Numerical testing of quantitative phase-field models with different polynomials for isothermal solidification in binary alloys
Authors: Ohno, Munekazu Browse this author →KAKEN DB
Takaki, Tomohiro Browse this author
Shibuta, Yasushi Browse this author
Keywords: Phase-field simulation
Convergence test
Solidification
Alloy
Dendrite
Issue Date: 15-Apr-2017
Publisher: Elsevier
Journal Title: Journal of computational physics
Volume: 335
Start Page: 621
End Page: 636
Publisher DOI: 10.1016/j.jcp.2017.01.053
Abstract: Quantitative phase-field models have been developed as feasible computational tools for solving the free-boundary problem in solidification processes. These models are constructed with some polynomials of the phase-field variable that describe variations of the physical quantities inside the diffuse interface. The accuracy of the simulation depends on the choice of the polynomials and such dependence is indispensable for high-performance computing and valuable for extending the range of applications of the model to several physical systems. However, little is known about the dependence of the accuracy on the choice of the polynomials. In this study, numerical testing is carried out for quantitative phase-field models with extensive sets of polynomials (24 different models) for isothermal solidification in binary alloys. It is demonstrated in two-dimensional simulations of dendritic growth that a specific set of polynomials must be employed to achieve high accuracy in the models with double-well and double-obstacle potentials. Both types of model with the best set of polynomials yield almost the same numerical accuracy. (C) 2017 Elsevier Inc. All rights reserved.
Rights: © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/
Type: article (author version)
URI: http://hdl.handle.net/2115/73577
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 大野 宗一

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