Directional solidification in two and three dimensions | Zendy

Bruno Grossmann | Zendy; K. R. Elder | Zendy; Martin Grant | Zendy; J Kosterlitz | Zendy

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Directional solidification in two and three dimensions

Author(s) -

Bruno Grossmann,

K. R. Elder,

Martin Grant,

J Kosterlitz

Publication year - 1993

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.71.3323

Subject(s) - directional solidification , hexagonal crystal system , simple (philosophy) , phase (matter) , dimensional modeling , field (mathematics) , mechanics , condensed matter physics , materials science , physics , classical mechanics , mathematics , computer science , quantum mechanics , microstructure , philosophy , chemistry , epistemology , database , pure mathematics , metallurgy , crystallography

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

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