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Volumn 89, Issue , 2013, Pages 23-37

Application of NEM in seepage analysis with a free surface

Author keywords

Delaunay triangle; Free surface; Natural element method (NEM); Seepage; Voronoi diagrams

Indexed keywords

CALCULATION RESULTS; DELAUNAY TRIANGLES; ELEMENT-FREE GALERKIN METHOD; FREE SURFACES; MESH-LESS METHODS; NATURAL ELEMENT METHOD; SEEPAGE ANALYSIS; VORONOI DIAGRAMS;

EID: 84876161738     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2013.03.006     Document Type: Article
Times cited : (19)

References (65)
  • 4
    • 84976826673 scopus 로고
    • Voronoi diagrams - A survey of a fundamental geometric data structure
    • F. Aurenhammer Voronoi diagrams - a survey of a fundamental geometric data structure ACM Computing Surveys 23 3 1991 345 405
    • (1991) ACM Computing Surveys , vol.23 , Issue.3 , pp. 345-405
    • Aurenhammer, F.1
  • 5
    • 0036307653 scopus 로고    scopus 로고
    • A practical method for solving free-surface seepage problems
    • J.P. Bardet, and T. Tobita A practical method for solving free-surface seepage problems Computers and Geotechnics 29 2002 451 475
    • (2002) Computers and Geotechnics , vol.29 , pp. 451-475
    • Bardet, J.P.1    Tobita, T.2
  • 8
    • 0001484871 scopus 로고
    • A numerical method for solving partial differential equations on highly irregular evolving grids
    • J. Braun, and M. Sambridge A numerical method for solving partial differential equations on highly irregular evolving grids Nature 376 1995 655 660
    • (1995) Nature , vol.376 , pp. 655-660
    • Braun, J.1    Sambridge, M.2
  • 9
    • 0029480771 scopus 로고
    • Geophysical parameterization and interpolation of irregular data using natural neighbours
    • J. Braun, M. Sambridge, and H. McQueen Geophysical parameterization and interpolation of irregular data using natural neighbours Geophysical Journal International 122 1995 837 857
    • (1995) Geophysical Journal International , vol.122 , pp. 837-857
    • Braun, J.1    Sambridge, M.2    McQueen, H.3
  • 10
    • 0019563894 scopus 로고
    • Computing the Dirichlet tessellations
    • A. Brown Computing the Dirichlet tessellations Computer Journal 24 2 1981 162 166
    • (1981) Computer Journal , vol.24 , Issue.2 , pp. 162-166
    • Brown, A.1
  • 11
    • 21144448180 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin method based on the Voronoi cells
    • (in Chinese)
    • Y.C. Cai, H.H. Zhu, and J.H. Wang The meshless local Petrov-Galerkin method based on the Voronoi cells Acta Mechanica Sinica 35 2 2003 187 193 (in Chinese)
    • (2003) Acta Mechanica Sinica , vol.35 , Issue.2 , pp. 187-193
    • Cai, Y.C.1    Zhu, H.H.2    Wang, J.H.3
  • 12
    • 57949087300 scopus 로고    scopus 로고
    • Natural element method for Biot plane consolidation analysis
    • (in Chinese)
    • Y.B. Chu, and J.H. Wang Natural element method for Biot plane consolidation analysis Journal of Shanghai Jiaotong University 42 11 2008 1880 1887 (in Chinese)
    • (2008) Journal of Shanghai Jiaotong University , vol.42 , Issue.11 , pp. 1880-1887
    • Chu, Y.B.1    Wang, J.H.2
  • 13
    • 34047177575 scopus 로고    scopus 로고
    • Natural neighbour Galerkin computation of the vibration modes of fluid-structure systems
    • F. Daneshmand, and S. Niroomandi Natural neighbour Galerkin computation of the vibration modes of fluid-structure systems Engineering Computations 24 3 2007 269 287
    • (2007) Engineering Computations , vol.24 , Issue.3 , pp. 269-287
    • Daneshmand, F.1    Niroomandi, S.2
  • 16
    • 0001571646 scopus 로고
    • Sur la sphere vide. A la memoire de Georges Voronoi Izv Akad. Nauk SSSR
    • B. Delaunay Sur la sphere vide. A la memoire de Georges Voronoi Izv Akad. Nauk SSSR Otdelenie Matematicheskih i Estestbennyh Nauk 7 1934 793 800
    • (1934) Otdelenie Matematicheskih i Estestbennyh Nauk , vol.7 , pp. 793-800
    • Delaunay, B.1
  • 17
    • 0001597015 scopus 로고
    • Finite element methods for flow in porous media
    • R.H. Gallagher, Wiley UK (Chapter 8)
    • C.S. Desai Finite element methods for flow in porous media R.H. Gallagher, Finite Elements in Fluids 1975 Wiley UK (Chapter 8)
    • (1975) Finite Elements in Fluids
    • Desai, C.S.1
  • 19
    • 0020621710 scopus 로고
    • A residual flow procedure and application for free surface flow in porous media
    • C.S. Desai, and G.C. Li A residual flow procedure and application for free surface flow in porous media Advances in Water Resources 6 1983 27 35
    • (1983) Advances in Water Resources , vol.6 , pp. 27-35
    • Desai, C.S.1    Li, G.C.2
  • 21
    • 77952554515 scopus 로고    scopus 로고
    • A comparison of implicit and explicit natural element methods in large strains problems: Application to soft biological tissues modeling
    • M.H. Doweidar, B. Calvo, I. Alfaro, P. Groenenboom, and M. Doblare A comparison of implicit and explicit natural element methods in large strains problems: application to soft biological tissues modeling Computer Methods in Applied Mechanics and Engineering 199 2010 1691 1700
    • (2010) Computer Methods in Applied Mechanics and Engineering , vol.199 , pp. 1691-1700
    • Doweidar, M.H.1    Calvo, B.2    Alfaro, I.3    Groenenboom, P.4    Doblare, M.5
  • 22
    • 0025439845 scopus 로고
    • Surfaces over Dirichlet tessellations
    • G. Farin Surfaces over Dirichlet tessellations Computer Aided Geometric Design 7 1990 281 292
    • (1990) Computer Aided Geometric Design , vol.7 , pp. 281-292
    • Farin, G.1
  • 23
    • 52449147685 scopus 로고
    • A sweepline algorithm for Voronoi diagrams
    • S. Fortune A sweepline algorithm for Voronoi diagrams Algorithmica 2 1987 153 174
    • (1987) Algorithmica , vol.2 , pp. 153-174
    • Fortune, S.1
  • 24
    • 44449161557 scopus 로고    scopus 로고
    • Improved boundary tracking in meshless simulations of free-surface flows
    • A. Galavis, D. Gonzalez, I. Alfaro, and E. Cueto Improved boundary tracking in meshless simulations of free-surface flows Computational Mechanics 42 2008 467 479
    • (2008) Computational Mechanics , vol.42 , pp. 467-479
    • Galavis, A.1    Gonzalez, D.2    Alfaro, I.3    Cueto, E.4
  • 25
  • 26
    • 77957180267 scopus 로고
    • Computing Dirichlet tessellations in the plane
    • P.J. Green, and R.R. Sibson Computing Dirichlet tessellations in the plane Computer Journal 21 2 1978 168 173
    • (1978) Computer Journal , vol.21 , Issue.2 , pp. 168-173
    • Green, P.J.1    Sibson, R.R.2
  • 27
    • 77956417773 scopus 로고    scopus 로고
    • Modeling unconfined seepage flow using three-dimensional numerical manifold method
    • Q.H. Jiang, S.S. Deng, C.B. Zhou, and W.B. Lu Modeling unconfined seepage flow using three-dimensional numerical manifold method Journal of Hydrodynamics 22 4 2010 554 561
    • (2010) Journal of Hydrodynamics , vol.22 , Issue.4 , pp. 554-561
    • Jiang, Q.H.1    Deng, S.S.2    Zhou, C.B.3    Lu, W.B.4
  • 28
    • 2442480645 scopus 로고    scopus 로고
    • Seepage analysis based on boundary-fitted coordinate transformation method
    • Y.X. Jie, G.Z. Jie, Z.Y. Mao, and G.X. Li Seepage analysis based on boundary-fitted coordinate transformation method Computers and Geotechnics 31 4 2004 279 283
    • (2004) Computers and Geotechnics , vol.31 , Issue.4 , pp. 279-283
    • Jie, Y.X.1    Jie, G.Z.2    Mao, Z.Y.3    Li, G.X.4
  • 29
    • 84861801903 scopus 로고    scopus 로고
    • Simulated annealing based algorithm for node generation in seepage analysis with meshless method
    • Y.X. Jie, and Y. Liu Simulated annealing based algorithm for node generation in seepage analysis with meshless method Mechanics Research Communications 43 2012 96 100
    • (2012) Mechanics Research Communications , vol.43 , pp. 96-100
    • Jie, Y.X.1    Liu, Y.2
  • 31
    • 0021484241 scopus 로고
    • Saturated-unsaturated transient finite element seepage model for geotechnical engineering
    • L. Lam, and D.G. Fredlund Saturated-unsaturated transient finite element seepage model for geotechnical engineering Advances in Water Resources 7 1984 132 136
    • (1984) Advances in Water Resources , vol.7 , pp. 132-136
    • Lam, L.1    Fredlund, D.G.2
  • 32
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster, and K. Salkauskas Surfaces generated by moving least squares methods Mathematics of Computation 37 1981 141 158
    • (1981) Mathematics of Computation , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 35
    • 0037245942 scopus 로고    scopus 로고
    • Free surface seepage analysis based on the element-free method
    • G.X. Li, J.H. Ge, and Y.X. Jie Free surface seepage analysis based on the element-free method Mechanics Research Communications 30 2003 9 19
    • (2003) Mechanics Research Communications , vol.30 , pp. 9-19
    • Li, G.X.1    Ge, J.H.2    Jie, Y.X.3
  • 36
    • 33747444840 scopus 로고    scopus 로고
    • A survey on applications of Voronoi diagrams
    • (in Chinese)
    • J.Y. Liu, and S. Liu A survey on applications of Voronoi diagrams Journal of Engineering Graphics 2 2004 125 132 (in Chinese)
    • (2004) Journal of Engineering Graphics , vol.2 , pp. 125-132
    • Liu, J.Y.1    Liu, S.2
  • 39
    • 0019216230 scopus 로고
    • Recent advances: Theory of variational inequalities with applications to problems of flow through porous media
    • J.T. Oden, and N. Kikuchi Recent advances: theory of variational inequalities with applications to problems of flow through porous media International Journal of Engineering Science 18 1980 1173 1284
    • (1980) International Journal of Engineering Science , vol.18 , pp. 1173-1284
    • Oden, J.T.1    Kikuchi, N.2
  • 41
    • 40249109764 scopus 로고    scopus 로고
    • Application of the natural element method to finite deformation inelastic problems in isotropic and fiber-reinforced biological soft tissues
    • E. Pena, M.A. Martinez, B. Calvo, and M. Doblare Application of the natural element method to finite deformation inelastic problems in isotropic and fiber-reinforced biological soft tissues Computer Methods in Applied Mechanics and Engineering 197 2008 1983 1996
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 1983-1996
    • Pena, E.1    Martinez, M.A.2    Calvo, B.3    Doblare, M.4
  • 45
    • 0004229086 scopus 로고
    • Ph.D. Thesis, Department of Computer Science, Yale University, New Haven, CT
    • M.I. Shamos, Computational Geometry. Ph.D. Thesis, Department of Computer Science, Yale University, New Haven, CT, 1978.
    • (1978) Computational Geometry
    • Shamos, M.I.1
  • 46
    • 0014432211 scopus 로고
    • A two-dimensional interpolation function for irregular spaced points
    • D. Shepard A two-dimensional interpolation function for irregular spaced points ACM National Conf. 1968 517 524
    • (1968) ACM National Conf. , pp. 517-524
    • Shepard, D.1
  • 48
    • 0003043803 scopus 로고
    • A brief description of natural neighbor interpolation
    • V. Barnett, Wiley Chichester
    • R. Sibson A brief description of natural neighbor interpolation V. Barnett, Interpreting Multivariate Data 1981 Wiley Chichester 21 36
    • (1981) Interpreting Multivariate Data , pp. 21-36
    • Sibson, R.1
  • 52
    • 84927514013 scopus 로고
    • Nouvelles applications des Parametres continues a la theorie des formes quadratiques, Deuxieme memoire: Recherches sur les Parallelloedres primitifs
    • G.M. Voronoi Nouvelles applications des Parametres continues a la theorie des formes quadratiques, Deuxieme memoire: Recherches sur les Parallelloedres primitifs Journal für die reine und angewandte Mathematik 134 1908 198 287
    • (1908) Journal für Die Reine und Angewandte Mathematik , vol.134 , pp. 198-287
    • Voronoi, G.M.1
  • 53
    • 33845365522 scopus 로고    scopus 로고
    • The computational methods of natural element method in three dimensional elasto-plastic analysis
    • (in Chinese)
    • J.H. Wang, Y.X. Zhang, and S.W. Gao The computational methods of natural element method in three dimensional elasto-plastic analysis Chinese Journal of Computational Mechanics 23 5 2006 594 598 (in Chinese)
    • (2006) Chinese Journal of Computational Mechanics , vol.23 , Issue.5 , pp. 594-598
    • Wang, J.H.1    Zhang, Y.X.2    Gao, S.W.3
  • 54
    • 0019563697 scopus 로고
    • Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes
    • D.F. Watson Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes Computer Journal 24 2 1981 167 172
    • (1981) Computer Journal , vol.24 , Issue.2 , pp. 167-172
    • Watson, D.F.1
  • 56
    • 36248970093 scopus 로고    scopus 로고
    • Analysis of bolted structures with natural element method and program design
    • (in Chinese)
    • T.T. Yu Analysis of bolted structures with natural element method and program design Chinese Journal of Computational Mechanics 24 5 2007 698 703 (in Chinese)
    • (2007) Chinese Journal of Computational Mechanics , vol.24 , Issue.5 , pp. 698-703
    • Yu, T.T.1
  • 57
    • 84876173899 scopus 로고    scopus 로고
    • Application of natural element method on the numerical analysis of hydraulic structures
    • (in Chinese)
    • G.H. Yu, and J.W. Zhao Application of natural element method on the numerical analysis of hydraulic structures North China University of Water Conservancy and Electric Power 30 1 2009 31 33 (in Chinese)
    • (2009) North China University of Water Conservancy and Electric Power , vol.30 , Issue.1 , pp. 31-33
    • Yu, G.H.1    Zhao, J.W.2
  • 58
    • 3142640827 scopus 로고    scopus 로고
    • A new extension of the natural element method for non-convex and discontinuous problems: The constrained natural element method (C-NEM)
    • J. Yvonnet, D. Ryckelynck, P. Lorong, and F. Chinesta A new extension of the natural element method for non-convex and discontinuous problems: the constrained natural element method (C-NEM) International Journal for Numerical Methods in Engineering 60 2004 1451 1474
    • (2004) International Journal for Numerical Methods in Engineering , vol.60 , pp. 1451-1474
    • Yvonnet, J.1    Ryckelynck, D.2    Lorong, P.3    Chinesta, F.4
  • 59
    • 52249118122 scopus 로고    scopus 로고
    • Application of natural element method to solution of elastic thin plate bending on Winkler soil foundation
    • (in Chinese)
    • X.Y. Zeng, A.J. Zhu, and A.F. Deng Application of natural element method to solution of elastic thin plate bending on Winkler soil foundation Chinese Journal of Computational Mechanics 25 4 2008 163 169 (in Chinese)
    • (2008) Chinese Journal of Computational Mechanics , vol.25 , Issue.4 , pp. 163-169
    • Zeng, X.Y.1    Zhu, A.J.2    Deng, A.F.3
  • 60
    • 52249118122 scopus 로고    scopus 로고
    • Natural element method for analysis of thick plates lying over Winkler foundations
    • (in Chinese)
    • X.Y. Zeng, A.J. Zhu, and A.F. Deng Natural element method for analysis of thick plates lying over Winkler foundations Chinese Journal of Solid Mechanics 29 2 2008 547 551 (in Chinese)
    • (2008) Chinese Journal of Solid Mechanics , vol.29 , Issue.2 , pp. 547-551
    • Zeng, X.Y.1    Zhu, A.J.2    Deng, A.F.3
  • 61
    • 21444457120 scopus 로고    scopus 로고
    • The computational methods of natural element method in two dimensional elasto-plastic analysis
    • (in Chinese)
    • Y.X. Zhang, J.H. Wang, and S.W. Gao The computational methods of natural element method in two dimensional elasto-plastic analysis Journal of Shanghai Jiaotong University 39 5 2005 727 730 (in Chinese)
    • (2005) Journal of Shanghai Jiaotong University , vol.39 , Issue.5 , pp. 727-730
    • Zhang, Y.X.1    Wang, J.H.2    Gao, S.W.3
  • 62
    • 0035041697 scopus 로고    scopus 로고
    • Seepage analysis based on the unified unsaturated soil theory
    • J.H. Zhang, Q.J. Xu, and Z.Y. Chen Seepage analysis based on the unified unsaturated soil theory Mechanics Research Communications 28 2001 107 112
    • (2001) Mechanics Research Communications , vol.28 , pp. 107-112
    • Zhang, J.H.1    Xu, Q.J.2    Chen, Z.Y.3
  • 64
    • 84860282198 scopus 로고    scopus 로고
    • Numerical simulation of the developing course of piping
    • X.J. Zhou, Y.X. Jie, and G.X. Li Numerical simulation of the developing course of piping Computers and Geotechnics 44 2012 104 108
    • (2012) Computers and Geotechnics , vol.44 , pp. 104-108
    • Zhou, X.J.1    Jie, Y.X.2    Li, G.X.3
  • 65
    • 36249032314 scopus 로고    scopus 로고
    • Application of meshless natural element method to elastoplastic analysis
    • (in Chinese)
    • H.H. Zhu, B.H. Yang, Y.C. Cai, and B. Xu Application of meshless natural element method to elastoplastic analysis Rock and Soil Mechanics 25 4 2004 671 674 (in Chinese)
    • (2004) Rock and Soil Mechanics , vol.25 , Issue.4 , pp. 671-674
    • Zhu, H.H.1    Yang, B.H.2    Cai, Y.C.3    Xu, B.4


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