Volume 11, Issue 5
Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition

Li-Ping He & Minxin He

Commun. Comput. Phys., 11 (2012), pp. 1697-1717.

Published online: 2012-11

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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 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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@Article{CiCP-11-1697, author = {}, title = {Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {5}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110310.090911a}, url = {http://global-sci.org/intro/article_detail/cicp/7430.html} }
TY - JOUR T1 - Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition JO - Communications in Computational Physics VL - 5 SP - 1697 EP - 1717 PY - 2012 DA - 2012/11 SN - 11 DO - http://doi.org/10.4208/cicp.110310.090911a UR - https://global-sci.org/intro/article_detail/cicp/7430.html KW - AB -

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. 

Li-Ping He & Minxin He. (2020). Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition. Communications in Computational Physics. 11 (5). 1697-1717. doi:10.4208/cicp.110310.090911a
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