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| Allen-Cahn型相场模型的移动网格方法 | |
| 引用本文： | 成 彬,刘 波,王冬艳,刘晓慧.Allen-Cahn型相场模型的移动网格方法[J].河北科技大学学报,2011,32(2):110-114. |
| 作者姓名： | 成 彬 刘 波 王冬艳 刘晓慧 |
| 作者单位： | 1. 河北省科学院应用数学研究所,河北石家庄,050081 2. 河北省科学院科技处,河北石家庄,050081 3. 河北华烨冀科信息技术公司,河北石家庄,050081 |
| 摘 要： | 针对2种流体的Alleh-Cahn型相场模型提出了一种自适应移动网格方法.移动网格方法包括网格重分布和偏微分方程求解2个相对独立的部分.通过求解一个类似于Poisson方程的偏微分方程组获得网格重分布,大量的网格点聚集在2种流体的界面附近从而提高了分辨率,而在其他的区域则仅有比较稀疏的网格点.Allen-Cahn模型用... |
| 关 键 词： | Alleh-Cahn型相场模型 移动网格方法 有限差分方法 |
| 收稿时间： | 2010/11/1 0:00:00 |
| 修稿时间： | 2011/1/5 0:00:00 |
Moving mesh method for solving Allen-Cahn phase-field model |
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| CHENG Bin,LIU Bo,WANG Dong-yan and LIU Xiao-hui.Moving mesh method for solving Allen-Cahn phase-field model[J].Journal of Hebei University of Science and Technology,2011,32(2):110-114. | |
| Authors: | CHENG Bin LIU Bo WANG Dong-yan and LIU Xiao-hui |
| Institution: | 1.Institute of Applied Mathematics,Hebei Academy of Sciences,Shijiazhuang Hebei 050081,China;2.Department of Science and Technology,Hebei Academy of Sciences,Shijiazhuang Hebei 050081,China;3.Hebei Huaye Jike Information Technology Company Limited,Shijiazhuang Hebei 050081,China) |
| Abstract: | In this paper,an adaptive moving mesh method is proposed and applied for solving Allen-Cahn phase-field model.The mesh redistribution is obtained by solving a Poisson like partial differential equation system.A plenty of grid points are clustered within the region with large solution variations,while less grid points are located in the regions with smooth solutions.The Allen-Cahn model is discretized by a semi-implicit finite difference scheme,which will lead to a large sparse linear algebra system.The algebra multigrid method is used to solve the linear system.Numerical experiments show that the proposed adaptive approach is effective in improving resolution and computational efficiency. |
| Keywords: | Allen-Cahn phase-field model moving mesh method finite difference scheme |
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