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A simple level set method for solving Stefan problems

delete1997-07-01
delete472
PRE
AI
S
S. Chen *
B
Barry Merriman
S
Stanley Osher
P
Peter Smereka
DOI:10.1006/jcph.1997.5721delete
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Abstract

Abstract

En 中文
A simple level set method for solving Stefan problems is presented. This method can be applied to problems involving dendritic solidification. Our method consists of an implicit finite difference scheme for solving the heat equation and a level set approach for capturing the front between solid and liquid phases of a pure substance. Our method is accurate with respect to some exact solutions of the Stefan problem. Results indicate that this method can handle topology changes and complicated interfacial shapes and that it can numerically simulate many of the physical features of dendritic solidification. (C) 1997 Academic Press.
Keywords:
CRYSTAL-GROWTH
DENDRITIC SOLIDIFICATION
NUMERICAL SIMULATIONS
PATTERN-FORMATION
IMPLEMENTATION
ALGORITHMS
DIMENSIONS
STABILITY
PLANAR
FRONTS

Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.6W
Citations:
7.4W

Organization

No organization information available
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