Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
518771 | Journal of Computational Physics | 2013 | 21 Pages |
Abstract
We present a numerical method for simulating diffusion dominated phenomena on irregular domains and free moving boundaries with Robin boundary conditions on quadtree/octree adaptive meshes. In particular, we use a hybrid finite-difference and finite-volume framework that combines the level-set finite difference discretization of Min and Gibou (2007) [13] with the treatment of Robin boundary conditions of Papac et al. (2010) [19] on uniform grids. We present numerical results in two and three spatial dimensions on the diffusion equation and on a Stefan-type problem. In addition, we present an application of this method to the case of the simulation of the Ehrlich–Schwoebel barrier in the context of epitaxial growth.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Joseph Papac, Asdis Helgadottir, Christian Ratsch, Frederic Gibou,