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Physics  1999 

Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation

DOI: 10.1103/PhysRevLett.84.1740

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Abstract:

We present a novel computational method to simulate accurately a wide range of interfacial patterns whose growth is limited by a large scale diffusion field. To illustrate the computational power of this method, we demonstrate that it can be used to simulate three-dimensional dendritic growth in a previously unreachable range of low undercoolings that is of direct experimental relevance.

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