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.