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  • Je definováno numerické schéma pro proudění v porézním prostředí s proměnnou hustotou kapaliny, zaloľené na metodě konečných prvků (MKP) se sítí přizpůsobenou geometrii úloh podzemní vody - nestrukturovaná triangulace v půdorysu a vrstevnatá struktura veSchéma je formulováno jako kombinace MKP ve 2D a konečných diferencí ve svislém směru a ekvivalentně jako metoda konečných objemů. Roząiřujeme tuto techniku o člen vyjadřující vliv hustoty a gravitace tak, ľe zůstává zachována bilance hmoty. (cs)
  • We introduce a numerical scheme for porous-media fluid flow with variable density, based on 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. The numerical scheme is a combination the FEM on 2D triangle mesh and finite differences in the vertical direction(1D columns of mesh nodes). This approach corresponds to the fact that the horizontal dimension of domain and elements is much larger then the vertical in the groundwater problems. The same numerical scheme can be also formulated in terms of finitevolume method, providing the mass balance property, important for subsequent solution of the solute transport problem. We extend this technique for conservative approximation of the density-driven flow in the fluid flow scheme.
  • We introduce a numerical scheme for porous-media fluid flow with variable density, based on 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. The numerical scheme is a combination the FEM on 2D triangle mesh and finite differences in the vertical direction(1D columns of mesh nodes). This approach corresponds to the fact that the horizontal dimension of domain and elements is much larger then the vertical in the groundwater problems. The same numerical scheme can be also formulated in terms of finitevolume method, providing the mass balance property, important for subsequent solution of the solute transport problem. We extend this technique for conservative approximation of the density-driven flow in the fluid flow scheme. (en)
Title
  • Aproximace rychlosti v metodě konečných prvků pro hustotou ovlivněné proudění v porézním prostředí (cs)
  • Velocity approximation in finite-element method for density-driven porous media flow
  • Velocity approximation in finite-element method for density-driven porous media flow (en)
skos:prefLabel
  • Aproximace rychlosti v metodě konečných prvků pro hustotou ovlivněné proudění v porézním prostředí (cs)
  • Velocity approximation in finite-element method for density-driven porous media flow
  • Velocity approximation in finite-element method for density-driven porous media flow (en)
skos:notation
  • RIV/46747885:24220/04:00000053!RIV/2005/MSM/242205/N
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  • %22variable-density flow;trilateral prismatic element;conservative scheme%22 (en)
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