کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11002766 | 1449339 | 2018 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation](/preview/png/11002766.png)
چکیده انگلیسی
In this paper, we show that the Cahn-Hilliard equation possesses a local energy dissipation law, which is independent of boundary conditions and produces much more information of the original problem. To inherit the intrinsic property, we derive three novel local structure-preserving algorithms for the 2D Cahn-Hilliard equation by the concatenating method. In particular, when the nonlinear bulk potential f(Ï) in the equation is chosen as the Ginzburg-Landau double-well potential, the method discussed by Zhang and Qiao (2012) [50] is a special case of our scheme II. Thanks to the Leibnitz rules and properties of operators, the three schemes are rigorously proven to conserve the discrete local energy dissipation law in any local time-space region. Under periodic boundary conditions, the schemes are proven to possess the discrete mass conservation and total energy dissipation laws. Numerical experiments are conducted to show the performance of the proposed schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 374, 1 December 2018, Pages 654-667
Journal: Journal of Computational Physics - Volume 374, 1 December 2018, Pages 654-667
نویسندگان
Zhenguo Mu, Yuezheng Gong, Wenjun Cai, Yushun Wang,