Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.73.016703
Title: Efficient numerical algorithm for multiphase field simulations
Authors: Vedantam, S. 
Patnaik, B.S.V. 
Issue Date: Jan-2006
Source: Vedantam, S.,Patnaik, B.S.V. (2006-01). Efficient numerical algorithm for multiphase field simulations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 73 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.73.016703
Abstract: Phase-field models have emerged as a successful class of models in a wide variety of applications in computational materials science. Multiphase field theories, as a subclass of phase-field theories, have been especially useful for studying nucleation and growth in polycrystalline materials. In theory, an infinite number of phase-field variables are required to represent grain orientations in a rotationally invariant free energy. However, limitations on available computational time and memory have restricted the number of phase-field variables used in the simulations. We present an approach by which the time and memory requirements are drastically reduced relative to standard algorithms. The proposed algorithm allows us the use of an unlimited number of phase-field variables to perform simulations without the associated burden on computational time or memory. We present the algorithm in the context of coalescence free grain growth. © 2006 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/60128
ISSN: 15393755
DOI: 10.1103/PhysRevE.73.016703
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