. "Z(MSM 242200001)" . "592278" . "Brno" . . . "Velocity approximation in finite-element method for density-driven porous media flow" . . "Aproximace rychlosti v metod\u011B kone\u010Dn\u00FDch prvk\u016F pro hustotou ovlivn\u011Bn\u00E9 proud\u011Bn\u00ED v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . . "2"^^ . "1"^^ . . "Velocity approximation in finite-element method for density-driven porous media flow"@en . "%22variable-density flow;trilateral prismatic element;conservative scheme%22"@en . "Aproximace rychlosti v metod\u011B kone\u010Dn\u00FDch prvk\u016F pro hustotou ovlivn\u011Bn\u00E9 proud\u011Bn\u00ED v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . . "Hokr, Milan" . . . . "[5C3EC073047D]" . . "Velocity approximation in finite-element method for density-driven porous media flow" . "Je definov\u00E1no numerick\u00E9 sch\u00E9ma pro proud\u011Bn\u00ED v por\u00E9zn\u00EDm prost\u0159ed\u00ED s prom\u011Bnnou hustotou kapaliny, zalo\u013Een\u00E9 na metod\u011B kone\u010Dn\u00FDch prvk\u016F (MKP) se s\u00EDt\u00ED p\u0159izp\u016Fsobenou geometrii \u00FAloh podzemn\u00ED vody - nestrukturovan\u00E1 triangulace v p\u016Fdorysu a vrstevnat\u00E1 struktura veSch\u00E9ma je formulov\u00E1no jako kombinace MKP ve 2D a kone\u010Dn\u00FDch diferenc\u00ED ve svisl\u00E9m sm\u011Bru a ekvivalentn\u011B jako metoda kone\u010Dn\u00FDch objem\u016F. Roz\u0105i\u0159ujeme tuto techniku o \u010Dlen vyjad\u0159uj\u00EDc\u00ED vliv hustoty a gravitace tak, \u013Ee z\u016Fst\u00E1v\u00E1 zachov\u00E1na 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." . "Velocity approximation in finite-element method for density-driven porous media flow"@en . "80-214-2741-8" . "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 . . . "RIV/46747885:24220/04:00000053" . "Sb. 3. Matematick\u00FD workshop s mezin\u00E1rodn\u00ED \u00FA\u010Dast\u00ED" . "FAST VUT Brno" . . "24220" . "RIV/46747885:24220/04:00000053!RIV/2005/MSM/242205/N" . .