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| Hauptseite > Externe Publikationen > Vita Publikationen > Convexity splitting in a phase field model for surface diffusion |
| Hauptseite > Externe Publikationen > Vita Publikationen > Convexity splitting in a phase field model for surface diffusion |
| Journal Article | FZJ-2020-03992 |
; ; ;
2019
Inst. for Scientific Computing and Information
Edmonton
Abstract: Convexity splitting like schemes with improved accuracy are proposed for a phase field model for surface diffusion. The schemes are developed to enable large scale simulations in three spatial dimensions describing experimentally observed solid state dewetting phenomena. We introduce a first and a second order unconditionally energy stable scheme and carefully elaborate the loss in accuracy associated with large time steps in such schemes. We then present a family of Rosenbrock convex splitting schemes. We show the existence of a maximal numerical timestep and demonstrate the increase of this maximal numerical time step by at least one order of magnitude using a Rosenbrock method. This scheme is used to study the effect of contact angle on solid state dewetting phenomena.
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