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Unstructured Finite-volume Meshes for Two-dimensional Flow in Variably Saturated Porous Media

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Warianty tytułu
Konferencja
Application of Computer Methods in Free-Surface and Pressurized Flow Modeling
Języki publikacji
EN
Abstrakty
EN
This paper presents a numerical algorithm for solving the equation describing variably saturated flow in porous media. The algorithm is based on a control volume finite element approach and can be applied to two-dimensional unstructured meshes consisting of triangular elements. Two methods of defining the dual control volume grid are discussed. We also demonstrate that the method of calculating the average permeability at the control volume face significantly influences numerical results.
Rocznik
Strony
339--352
Opis fizyczny
Bibliogr. 25 poz., rys., tab.
Twórcy
Bibliografia
  • [1] Clement T P, Wise W R and Molz F J 1994 J. Hydrology 161 (1-4) 71
  • [2] Simpsoii M J and Clement T P 2003 J. Hydrology 270 (1-2) 49
  • [3] Zaradny H 1993 Groundwater Flow in Saturated and Unsaturated Soil, Balkema, Rotterdam
  • [4] Cclia M A, Bouloutas E T and Zarba R L 1990 Water Resour. Res. 26 (7) 1483 (doi: 10.1029/WR026i007p01483)
  • [5] Tracy F T 2010 The Open Hydrology Journal 4 227
  • [6] Bause M and Knabner P 2004 Adv. Water Resour. 27 565
  • [7] Fahs M, Younes A and Lehmann F 2009 Enmron. Modeli. Softw. 24 (9) 1122
  • [8] Forsyth P A, Wu Y S and Pruess K 1995 Adv. Water Resour. 18 (1) 25 (doi: 10.1016/0309-1708(95)00020-J)
  • [9] Fuhrmann J and Langmach H 2001 Appl. Num. Math. 37 (1-2) 201
  • [10] Rces I, Masters I, Malan A G and Lewis R W 2004 Comput. Meth. Appl. Mech. Eng. 193 (42-44) 4741
  • [11] Cummiiig B. Moroney T and Turner I 2011 A Mass-conservative Control Volume-finite Element Method for Solving Richards Equation in Heterogeneous Porous Media, BIT Numerical Mathematics (doi: 10.1007/sl0543-011-0335-3)
  • [12] Ju S-H and Kung K-J S 1997 Comput. Geosci. 23 (2) 175
  • [13] Helmig R 1997 Multiphase Flow and Transport Processes in the Subsurface: a Contribution to the Modeling of the Hydrosystems, Spririger-Verlag
  • [14] Yoller V R 2009 Banie Control Yolume Finite Element Methods for Fluids and Solids. World Scientific
  • [15] Frey P J and George P-L 2008 Mesh Generation. Application to Finite Elements, Wiley
  • [16] Shewchuk J R 2005 Triangle. A Two-dimensional Quality Mesh Generator and Delaunay Triangulator. Ver. 1.6, Carnegie Mellon University, US (http://www.cs.cmu.edu/-quake/triangle.html)
  • [17] Niceno B 1996 Easy Mesh. A Two-dimensional Quality Mesh Generator. Ver. University of Trieste, Italy (http://www-dinma.univ.trieste.it/nirftc/research/easymesh/)
  • [18] Miiller J D 1996 On Triangles and Flow. PhD Thesis, University of Michigan
  • [19] Szydłowski M (Ed.) 2003 Mathematical Modeling of Hydraulic Effects of Dam Breaks, KG W PAN (in Polish)
  • [20] Szymkiewicz A and Burzyński K 2007 TASK Quart. 11 (4) 397
  • [21] Manzini G and Ferraris S 2004 Adv. Water Resour. 27 1199 (doi: 10.1016/j.advwatres.2004.08.008)
  • [22] Helmig R and Huber R 1998 Adv. Water Resour. 21 (8) 697 (doi: 10.1016/S0309-1708(97)00023-7)
  • [23] Szymkiewicz A 2009 Water Resour. Res. 45, W10403 (doi: 10.1029/2008WR007654)
  • [24] Tracy F T 2006 Water Resour. Res. 42, W08503 (doi: 10.1029/2005WR004638)
  • [25] Szymkiewicz R 2010 Numerical Modeling in Open Channel Hydraulics, Springer
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0067-0038
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