TY - JOUR
T1 - Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition
AU - Li-Ping He & Minxin He
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 - <p style="text-align: justify;">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.&nbsp;</p>