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Parareal in Time Simulation Of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition

Published online by Cambridge University Press:  20 August 2015

Li-Ping He  and
Minxin He
Li-Ping He*
Affiliation:
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
Minxin He*
Affiliation:
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
*
Corresponding author.Email:lphe@sjtu.edu.cn
Email:sophiaminxinhe@gmail.com
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Abstract

In this paper, a reduced morphological transformation model with spatially dependent composition and elastic modulus is considered. The parareal in time al-gorithm introduced by Lions et al. is developed for longer-time simulation. The fine solver is based on a second-order scheme in reciprocal space, and the coarse solver is based on a multi-model backward Euler scheme, which is fast and less expensive. Numerical simulations concerning the composition with a random noise and a discontinuous curve are performed. Some microstructure characteristics at very low temperature are obtained by a variable temperature technique.

Keywords

52B1065D1868U0568U07Morphological transformationmulti-model schemeparareal in time simulation
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 5 , May 2012 , pp. 1697 - 1717
Copyright
Copyright © Global Science Press Limited 2012

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