Bounding box algorithm for three-dimensional phase-field simulations of microstructural evolution in polycrystalline materials

Liesbeth Vanherpe, Nele Moelans, Bart Blanpain, and Stefan Vandewalle
Phys. Rev. E 76, 056702 – Published 7 November 2007

Abstract

Phase-field modeling has proven to be a versatile tool for simulating microstructural evolution phenomena, such as grain growth in polycrystalline materials. However, the computing time and computing memory requirements of a phase-field model pose severe limitations on the number of phase-field variables that can be taken into account in a practical implementation. In this paper, a sparse bounding box algorithm is proposed that allows the use of a large number of phase-field variables without excessive memory usage or computational requirements. The algorithm is applied to a three-dimensional model for grain growth in the presence of second-phase particles.

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  • Received 24 May 2007

DOI:https://doi.org/10.1103/PhysRevE.76.056702

©2007 American Physical Society

Authors & Affiliations

Liesbeth Vanherpe1,*, Nele Moelans2,†, Bart Blanpain2, and Stefan Vandewalle1

  • 1Department of Computer Science, Faculty of Engineering, Katholieke Universiteit Leuven, 3001 Leuven, Belgium
  • 2Department of Metallurgy and Materials Engineering, Faculty of Engineering, Katholieke Universiteit Leuven, 3001 Leuven, Belgium

  • *liesbeth.vanherpe@cs.kuleuven.be
  • nele.moelans@mtm.kuleuven.be

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Issue

Vol. 76, Iss. 5 — November 2007

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