A Level Set Approach for the Numerical Simulation of Dendritic Growth

被引：4

作者：

Frédéric Gibou

Ronald Fedkiw

Russel Caflisch

Stanley Osher

机构：

[1] Stanford University,Mathematics Department & Computer Science Department

[2] Stanford University,Computer Science Department

[3] University of California,Mathematics Department

来源：

Journal of Scientific Computing | 2003年 / 19卷

关键词：

interfaces; level set method; ghost fluid method; Poisson equation; dendritic growth;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we present a level set approach for the modeling of dendritic solidification. These simulations exploit a recently developed second order accurate symmetric discretization of the Poisson equation, see [12]. Numerical results indicate that this method can be used successfully on complex interfacial shapes and can simulate many of the physical features of dendritic solidification. We apply this algorithm to the simulation of the dendritic crystallization of a pure melt and find that the dendrite tip velocity and tip shapes are in excellent agreement with solvability theory. Numerical results are presented in both two and three spatial dimensions.

引用

页码：183 / 199

页数：16

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