期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

非定常渗流计算的移动网格方法 被引量：1

Moving Mesh Method for Unsteady Seepage Computations
下载PDF
导出
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. 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.
作者 李阳贵 王礼广 魏华袆 肖仁成
机构地区 南华大学数理学院 湘潭大学数学与计算科学学院 南华大学城市建设学院
出处 《南华大学学报（自然科学版）》 2010年第1期24-28,共5页 Journal of University of South China：Science and Technology
关键词 非定常渗流 有限元 移动网格方法 控制函数 unsteady seepage finite element moving mesh method monitor function
分类号 O241.82 [理学—计算数学] TV139.14 [水利工程—水力学及河流动力学]
  • 相关文献

参考文献9

  • 1Rank E,Werner H.An adaptive finite element approach for the free surface seepage problem[J].Int.J.Num.Meth.Eng.,1986,23(7):1217-1228.
  • 2Chung K Y,Kikuchi N.Adaptive methods to solve free Boundary problems of flow through porous media[J].Int.J.for Num.And Ana1.Meth.,1987,11 (1):17-31.
  • 3Burklcy V J,Bruch Jr J C.Adaptive error analysis in Seepage problems[J].Int.J.Num.Meth.Eng.,1991,31(7):1333-1356.
  • 4Dvinsky A S.Adaptive Grid Generation from Harmonic Maps on Riemannian Manifolds[J].J.Comput.Phys.,1991,95:450-476.
  • 5Li R,Tang T,Zhang P W.Moving mesh methods in multiple dimensions based on harmonic maps[J].J.Comput.Phys.,2001,170:562-588.
  • 6Hamilton Richard S.Harmonic Maps of Manifolds with Boundary[M].New York:Springer-Verlag,1975.
  • 7Schoen R,Yau S T.On univalent harmonic maps between surfaces[J].Invent.Math.,1978,44:265-278.
  • 8Cao W M,Huang W Z,Russell R D.An error indicator monitor function for an r-adaptive finite-element method[J].J.Comput.Phys.,2001,170:871-892.
  • 9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. 被引量：3

二级参考文献10

  • 1Winslow A. Numerical Solution of the Quasi-linear Poisson Equation in a Nonuniform Triangle Mesh[J]. J. Comput, Phys. ,1967,1:149- 172.
  • 2Zegling P A. Moving Grid Teehniques[M]. CRC Press LLC,1999,
  • 3Huang W Z,Ren Y H, Russell R D. Moving Mesh Partial Differential Equations(MMPDES) Based on the Equidistribution Prlnciple[J]. SIAM J. Numer. Anal.,1994, 31(3):709-730.
  • 4Dvinsky A S. Adaptive Grid Generation from Harmonic Maps on Riemannian Manifolds[J]. J. Comput. Phys., 1991, 95: 450-476.
  • 5Li R, Tang T, Zhang P W. Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps[J]. J. Comput. Phys,, 2001,170: 562- 588.
  • 6Li R, Tang T, Zhang P W. A Moving Mesh Finite Element Algorithm for Singular Problems in Two and Three Space Dimensions[J]. J. Comput. Phys. ,2002, 177:365 - 393.
  • 7Cao W M, C.arretezo-gmgzales R, Huang W Z, et al. Variational Mesh Adsptation Methods for Axisymmetical Problems[J]. SIAM J. Numer. Anal. ,2003, 41(1):235-2.57.
  • 8Cao W M, Huang W Z, Russell R O. A Moving Mesh Method Based on Thegeometric Conservation Law[J]. SIAM J. Sci, Comput. ,2002, 24(1 ) : 118- 142.
  • 9Liao G J,Su J Z, A Moving Grid Method for (1 + 1) Dimension[J]. Appl. Math. Lett. ,1995,8(4):47-49.
  • 10Liao G, I.,iu F, Pena O Let al. Level-set-based Deformation Methods for Adaptive Grids[J]. J. Comput. Phys., 2000, 159:103 - 122.

共引文献2

同被引文献7

  • 1吕岁菊,王君超.有限体积法在土壤水分运动数值模拟中的应用[J].科技咨询导报,2007(2):142-142. 被引量：1
  • 2Jeong W, Seong J. Comparison of effects on technical vari- ances of computational fluid dynamics (CFD) software based on finite element and finite volume methods [ J ]. In- ternational Journal of Mechanical Science ,2014 ,78 :19-26.
  • 3Yoshioka H, Unami K, Fujihara M. A dual finite volume method scheme for catastrophic flash floods in channel networks [ J ]. Applied Mathematical Modelling, 2015,39 ( 1 ) : 205-229.
  • 4覃邦余,黄汉明,李小勇.影响污染物在土壤中的运移的因素分析[J].科技信息(学术研究),2008(34):459-460.
  • 5Salzman S A,Allinson G,Stagnitti F,et al. Performance of constructed evaporation ponds for disposal of smelter waste water:A case study at Portland Aluminum, Victori- a, Australia[ J ]. Water research ,2001,35 (9) :2121-2128.
  • 6吕岁菊,乔英,刘国林.一维非饱和土壤溶质运移的有限体积法数值模拟[J].水土保持研究,2008,15(4):33-36. 被引量：8
  • 7管英柱.单点源滴灌条件下土壤渗流规律研究[J].现代农业科技,2011(15):11-12. 被引量：3

引证文献1

南华大学学报（自然科学版）
2010年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部