کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519172 867643 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system
چکیده انگلیسی

In this paper, we develop an efficient and energy stable fully-discrete local discontinuous Galerkin (LDG) method for the Cahn–Hilliard–Hele–Shaw (CHHS) system. The semi-discrete energy stability of the LDG method is proved firstly. Due to the strict time step restriction (Δt=O(Δx4)Δt=O(Δx4)) of explicit time discretization methods for stability, we introduce a semi-implicit time integration scheme which is based on a convex splitting of the discrete Cahn–Hilliard energy. The unconditional energy stability has been proved for this fully-discrete LDG scheme. The fully-discrete equations at the implicit time level are nonlinear. Thus, the nonlinear Full Approximation Scheme (FAS) multigrid method has been applied to solve this system of algebraic equations, which has been shown the nearly optimal complexity numerically. Numerical results are also given to illustrate the accuracy and capability of the LDG method coupled with the multigrid solver.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 264, 1 May 2014, Pages 23–40
نویسندگان
, , ,