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Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation

Mathis Plapp·Alain Karma
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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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Mathis Plapp, Alain Karma. 2000-02-01. Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation. https://doi.org/10.1103/physrevlett.84.1740

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