Year: 2019
Author: Rainer Backofen, Steven M. Wise, Marco Salvalaglio, Axel Voigt
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 2 : pp. 192–209
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 carefully elaborate the loss in accuracy associated with large time steps in such schemes and show the existence of a maximal numerical timestep to achieve a prescribed accuracy. We demonstrate the increase of this maximal numerical time step by at least one order of magnitude using a Rosenbrock method. This convexity splitting scheme with improved accuracy is used to study the effect of contact angle on solid state dewetting phenomena.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-12799
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 2 : pp. 192–209
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Convexity splitting Rosenbrock time discretization surface diffusion solid-state dewetting.