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

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

Year:    2012

Author:    Li-Ping He, Minxin He

Communications in Computational Physics, Vol. 11 (2012), Iss. 5 : pp. 1697–1717

Abstract

In this paper, a reduced morphological transformation model with spatially dependent composition and elastic modulus is considered. The parareal in time algorithm 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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.110310.090911a

Communications in Computational Physics, Vol. 11 (2012), Iss. 5 : pp. 1697–1717

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

Author Details

Li-Ping He

Minxin He

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