Aproximace rychlosti v metodě konečných prvků pro hustotou ovlivněné proudění v porézním prostředí

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F04%3A00000053" target="_blank" >RIV/46747885:24220/04:00000053 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Velocity approximation in finite-element method for density-driven porous media flow

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Velocity approximation in finite-element method for density-driven porous media flow

Popis výsledku anglicky

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.

Druh

A - Audiovizuální tvorba

CEP obor

BK - Mechanika tekutin

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

80-214-2741-8

Místo vydání

Brno

Název nakladatele resp. objednatele

FAST VUT Brno

Verze

Sb. 3. Matematický workshop s mezinárodní účastí

Identifikační číslo nosiče

—