About: Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media     Goto   Sponge   NotDistinct   Permalink

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Description
  • Popisujeme formulaci metody konečných prvků adaptovanou pro geometrii úloh podzemních vod. Trojrozměrná oblast je diskretizována tak, že v horizontální projekci je použita nestrukturovaná triangulace a síť je složena z vrstev v prostoru.Pro tento případ je třeba definovat konečné prvky a trojbokých hranolech. Jako alternativu představujeme schéma, založené na kombinaci metody konečných prvků na 2D trojúhelníkové síti a konečnýchdiferencí ve svislém směru (1D sloupec uzlů sítě). Schéma je ekvivalentně možno formulovat jako metodu konečných objemů na duální síti, což zajišťuje splnění podmínky bilance hmoty. (cs)
  • We introduce a formulation of the finite element method (FEM) adapted to typical geometry of groundwater problems. The three-dimensional domain is discretized in the following way: the projection to the horizontal plane is a triangulation(unstructured mesh) and the mesh is composed of layers in the space. Thus there is need to define finite elements on trilateral prims. We show an alternative numerical solution of porous media (potential) flow by meansof combining the FEM on 2D triangle mesh and finite differences in the vertical direction (1D columns of mesh nodes). This approach correspond to the fact that the horizontal dimension iThe same numerical scheme can be also formulated in terms of finite volume method, providing the mass balance property, important for subsequent solution of the solute transport problem.
  • We introduce a formulation of the finite element method (FEM) adapted to typical geometry of groundwater problems. The three-dimensional domain is discretized in the following way: the projection to the horizontal plane is a triangulation(unstructured mesh) and the mesh is composed of layers in the space. Thus there is need to define finite elements on trilateral prims. We show an alternative numerical solution of porous media (potential) flow by meansof combining the FEM on 2D triangle mesh and finite differences in the vertical direction (1D columns of mesh nodes). This approach correspond to the fact that the horizontal dimension iThe same numerical scheme can be also formulated in terms of finite volume method, providing the mass balance property, important for subsequent solution of the solute transport problem. (en)
Title
  • Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media
  • Metoda konečných prvků na 3D síti s vrstevnatou strukturou - aplikace na proudění a transportu v porézním prostředí (cs)
  • Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media (en)
skos:prefLabel
  • Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media
  • Metoda konečných prvků na 3D síti s vrstevnatou strukturou - aplikace na proudění a transportu v porézním prostředí (cs)
  • Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media (en)
skos:notation
  • RIV/46747885:24220/05:00000051!RIV06-MSM-24220___
http://linked.open.../vavai/riv/strany
  • 70-75
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 242200001)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 521694
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24220/05:00000051
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • trilateral prismatic element; conservative scheme; finite volume; groundwater (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [E54B52A97CB3]
http://linked.open...v/mistoKonaniAkce
  • Praha
http://linked.open...i/riv/mistoVydani
  • Praha
http://linked.open...i/riv/nazevZdroje
  • Programs and algorithms of numerical mathematics 12
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hokr, Milan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Mathematical institute
https://schema.org/isbn
  • 80-85823-53-5
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  • 24220
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