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Statements

Subject Item
n2:RIV%2F46747885%3A24220%2F05%3A00000051%21RIV06-MSM-24220___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
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. 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. 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.
dcterms:title
Metoda konečných prvků na 3D síti s vrstevnatou strukturou - aplikace na proudění a transportu v porézním prostředí Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media
skos:prefLabel
Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media 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
skos:notation
RIV/46747885:24220/05:00000051!RIV06-MSM-24220___
n3:strany
70-75
n3:aktivita
n16:Z
n3:aktivity
Z(MSM 242200001)
n3:dodaniDat
n8:2006
n3:domaciTvurceVysledku
n21:7059833
n3:druhVysledku
n4:D
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n11:predkladatel
n3:idSjednocenehoVysledku
521694
n3:idVysledku
RIV/46747885:24220/05:00000051
n3:jazykVysledku
n5:eng
n3:klicovaSlova
trilateral prismatic element; conservative scheme; finite volume; groundwater
n3:klicoveSlovo
n12:finite%20volume n12:conservative%20scheme n12:groundwater n12:trilateral%20prismatic%20element
n3:kontrolniKodProRIV
[E54B52A97CB3]
n3:mistoKonaniAkce
Praha
n3:mistoVydani
Praha
n3:nazevZdroje
Programs and algorithms of numerical mathematics 12
n3:obor
n7:BK
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n8:2005
n3:tvurceVysledku
Hokr, Milan
n3:typAkce
n19:CST
n3:zahajeniAkce
2005-01-01+01:00
n3:zamer
n9:MSM%20242200001
s:numberOfPages
6
n17:hasPublisher
Mathematical institute
n13:isbn
80-85823-53-5
n20:organizacniJednotka
24220