| 非定常渗流计算的移动网格方法 |
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| 引用本文： | 李阳贵,王礼广,魏华祎,肖仁成. 非定常渗流计算的移动网格方法[J]. 衡阳工学院学报, 2010, 0(1): 24-28 |
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| 作者姓名： | 李阳贵 王礼广 魏华祎 肖仁成 |
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| 作者单位： | [1]南华大学数理学院,湖南衡阳421001 [2]湘潭大学数学与计算科学学院,湖南湘潭411105 [3]南华大学城市建设学院,湖南衡阳421001 |
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| 摘 要： | 本文应用一种基于调和映射的移动网格方法计算非定常渗流,该方法将偏微分方程求解与网格移动算法分开,且需要在新生成的网格上插值更新解.本文通过计算一个关于梯度的控制函数,使得网格加密与希疏化是随着水力梯度的变化自动实现的.从而提高整体解的精度.
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| 关 键 词： | 非定常渗流 有限元 移动网格方法 控制函数 |
Moving Mesh Method for Unsteady Seepage Computations |
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| LI Yang-gui,WANG Li-guang,WEI Hua-yi,XIAO Ren-cheng. Moving Mesh Method for Unsteady Seepage Computations[J]. , 2010, 0(1): 24-28 |
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| Authors: | LI Yang-gui WANG Li-guang WEI Hua-yi XIAO Ren-cheng |
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| Affiliation: | 1.School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China;2.School of Mathematics and Computing Science,Xiangtan University,Xiangtan,Hunan 411105,China;3.School of Urban Construction,University of South China,Hengyang,Hunan 421001,China) |
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| Abstract: | This paper applies moving grid method based on harmonic maps to calculate unsteady seepage,which delinks the PDE solver and the mesh-moving algorithm and then requires interpolating the solution on the newly generated mesh.In this paper,it makes the mesh refined or coarsened self-fulfilling based on the change of hydraulic gradient by calculating a monitor function on gradient so as to enhance the accuracy of the solution. |
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| Keywords: | unsteady seepage finite element moving mesh method monitor function |
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