کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522910 | 867880 | 2007 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A nonstiff, adaptive mesh refinement-based method for the Cahn–Hilliard equation A nonstiff, adaptive mesh refinement-based method for the Cahn–Hilliard equation](/preview/png/522910.png)
We present a nonstiff, fully adaptive mesh refinement-based method for the Cahn–Hilliard equation. The method is based on a semi-implicit splitting, in which linear leading order terms are extracted and discretized implicitly, combined with a robust adaptive spatial discretization. The fully discretized equation is written as a system which is efficiently solved on composite adaptive grids using the linear multigrid method without any constraint on the time step size. We demonstrate the efficacy of the method with numerical examples. Both the transient stage and the steady state solutions of spinodal decompositions are captured accurately with the proposed adaptive strategy. Employing this approach, we also identify several stationary solutions of that decomposition on the 2D torus.
Journal: Journal of Computational Physics - Volume 225, Issue 2, 10 August 2007, Pages 1849–1862