Directional solidification in two and three dimensions

Bruno Grossmann, K. R. Elder, Martin Grant, and J. M. Kosterlitz
Phys. Rev. Lett. 71, 3323 – Published 15 November 1993
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Abstract

A symmetric phase-field model is used to study directional solidification in two and three dimensions. Numerical evidence of tip-splitting, breathing modes, solitary modes, and other non-steady-state behavior is seen in 2D. A simple model for the breathing modes is proposed. Finally, 3D simulations indicate a hexagonal ordering of cells.

  • Received 23 July 1992

DOI:https://doi.org/10.1103/PhysRevLett.71.3323

©1993 American Physical Society

Authors & Affiliations

Bruno Grossmann, K. R. Elder, Martin Grant, and J. M. Kosterlitz

  • Department of Physics, Brown University, Barus and Holley Building, Providence, Rhode Island 02906
  • Department of Physics, McGill University, Rutherford Building, 3600 University Street, Montréal, Québec, Canada H3A 2T8

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Issue

Vol. 71, Iss. 20 — 15 November 1993

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