Efficient numerical algorithm for multiphase field simulations

Srikanth Vedantam and B. S. V. Patnaik
Phys. Rev. E 73, 016703 – Published 19 January 2006

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.

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  • Received 20 September 2005

DOI:https://doi.org/10.1103/PhysRevE.73.016703

©2006 American Physical Society

Authors & Affiliations

Srikanth Vedantam1 and B. S. V. Patnaik2

  • 1Department of Mechanical Engineering, Faculty of Engineering, National University of Singapore, 117576 Singapore
  • 2Department of Computational Science, Faculty of Science, National University of Singapore, 117543 Singapore

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Issue

Vol. 73, Iss. 1 — January 2006

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