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

Li-Ping He and Minxin He


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

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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. 

  • History

Published online: 2012-11

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