title: Bounding box algorithm for three-dimensional phase-field simulations of microstructural evolution in polycrystalline materials.
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.
authors.affiliation: Department of Computer Science, Faculty of Engineering, Katholieke Universiteit Leuven, 3001 Leuven, Belgium. liesbeth.vanherpe@cs.kuleuven.be
authors.forename: Liesbeth
authors.initials: L
authors.lastname: Vanherpe
authors.forename: Nele
authors.initials: N
authors.lastname: Moelans
authors.forename: Bart
authors.initials: B
authors.lastname: Blanpain
authors.forename: Stefan
authors.initials: S
authors.lastname: Vandewalle