Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition
Year: 2012
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