| 引用本文: | 王礼广,蔡放,熊岳山.一种新的基于方向导数的二维自适应网格生成算法.[J].国防科技大学学报,2007,29(6):126-130.[点击复制] |
| WANG Liguang,CAI Fang,XIONG Yueshan.A New Algorithm of Mesh Generation for 2-D Adaptive Mesh Based on Directional Derivatives[J].Journal of National University of Defense Technology,2007,29(6):126-130[点击复制] |
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| 一种新的基于方向导数的二维自适应网格生成算法 |
| 王礼广1,2, 蔡放1,3, 熊岳山1 |
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(1.国防科技大学 理学院，湖南 长沙 410073;2.南华大学 数理学院，湖南 衡阳 421001;3.长沙大学，湖南 长沙 410003)
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| 摘要: |
| 结合形变原理及网格迭代思想，利用方向导数计算控制函数，提出一种新的二维空间自适应网格生成算法。 数值实验表明，该算法能较好地适应解函数的空间剧烈变化。与其他自适应算法比较，其主要优点是该算法逻辑简单，避免了解网格偏微分方程，节约了网格计算时间。 |
| 关键词: 自适应网格 移动网格 有限元方法 形变方法 |
| DOI： |
| 投稿日期：2007-04-16 |
| 基金项目:国家自然科学基金项目(60773022)；国家863计划资助项目(2007AA01Z313)；湖南省教育厅资助科研项目(06C712) |
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| A New Algorithm of Mesh Generation for 2-D Adaptive Mesh Based on Directional Derivatives |
| WANG Liguang1,2, CAI Fang1,3, XIONG Yueshan1 |
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(1.College of Science, National Univ. of Defense Technology, Changsha 410073, China;2. 2.School of Mathematics and Physics, Nanhua University，Hengyang 421001, China;3.Changsha University, Changsha 410003, China)
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| Abstract: |
| A new algorithm of mesh generation for 2-D adaptive mesh method is proposed while combining the deformation principle and the idea of mesh iteration by means of directional derivatives to compute the monitor function.The numerical experiments show that this algorithm can well adapt to high spatial activities of the solutions. The main advantage of this algorithm is its simple logicality and it can avoid solving moving mesh partial differential equations and save time for computing mesh to compare the other adaptive algorithms. |
| Keywords: adaptive mesh moving mesh finite elements method deformation method |
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