| Cahn-Hilliard方程的高阶保能量散逸性方法 |
| |
| 引用本文： | 赵鑫,孙建强,何雪珺.Cahn-Hilliard方程的高阶保能量散逸性方法[J].计算数学,2015,37(2):137-147. |
| |
| 作者姓名： | 赵鑫 孙建强 何雪珺 |
| |
| 作者单位： | 海南大学信息科学技术学院, 海口 570228 |
| |
| 基金项目： | 国家自然科学基金(11161017);海南省自然科学基金(114003)资助 |
| |
| 摘 要： | 能量散逸性是物理和力学中某些微分方程一项重要的物理特性.构造精确地保持微分方程能量散逸性的数值格式对模拟具有能量散逸性的微分方程具有重要的意义.本文利用四阶平均向量场方法和傅里叶谱方法构造了Cahn-Hilliard方程高阶保能量散逸性格式.数值结果表明高阶保能量散逸性格式能很好地模拟Cahn-Hilliard方程在不同初始条件下解的行为,并且很好地保持了Cahn-Hilliard方程的能量散逸特性.
|
| 关 键 词： | 高阶平均向量场方法 能量散逸性 Cahn-Hilliard 方程 |
| 收稿时间： | 2014-07-13; |
HIGH ORDER PRESERVING ENERGY-DISSIPATING METHOD OF THE CAHN-HILLIARD EQUATION |
| |
| Zhao Xin;Sun Jianqiang;He Xue.HIGH ORDER PRESERVING ENERGY-DISSIPATING METHOD OF THE CAHN-HILLIARD EQUATION[J].Mathematica Numerica Sinica,2015,37(2):137-147. |
| |
| Authors: | Zhao Xin;Sun Jianqiang;He Xue |
| |
| Institution: | College of Information Science and Technology, Hainan University, Haikou 570228, China |
| |
| Abstract: | Energy-dissipating is a very important physical property of some differential equations in physics and mechanics. It has important meaning in simulating the energy dissipating partial differential equation to constructing a numerical scheme which preserves the energy dissipation property of the differential equation precisely. In this paper,we propose a high order energy-dissipating formula of the Cahn-Hilliard equation by the fourth-order average vector field method and Fourier pseudospectral method. Numerical results show that the high order preserving energy-dissipating formula can well simulate the behavior of the Cahn-Hilliard equation with different initial conditions and preserve the energy-dissipating property of the Cahn-Hilliard equation. |
| |
| Keywords: | High order average vector field method Energy-dissipating Cahn-Hilliard equation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
