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FEM solver for incompressible flow problems
Bauer, Petr ; Klement, V. ; Žabka, V.
We develop a FEM solver for flow problems based on incompressible Navier-Stokes equations. The discretization of the convective term is semi-implicit and the resulting linear systems are solved using multigrid techniques. The parallel implementations via OpenMP and NVidia CUDA are presented and their performance is compared.
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FEM for flow and pollution transport in urban canopy
Bauer, Petr ; Klement, V. ; Žabka, V.
We develop a mathematical model of air flow and pollution transport in a simplified urban canopy based on incompressible Navier-Stokes equations for air flow and the advection-diffusion equation for concentration. The model is discretized by means of finite element method (FEM) and the resulting systems are solved using multigrid techniques. A numerical study of pollutant dispersion in a domain with two street canyons is presented.
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Mathematical Modelling of Flow over Periodic Structures
Bauer, Petr
We examine the influence of roofs' shapes on the boundary layer of a simplified urban canopy by computing non-stationary Navier-Stokes flow over a periodic pattern. The solution is obtained by means of finite element method (FEM). The resulting linear system is solved by the multigrid method. We present computational studies of the problem.
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Flow over a rough surface
Bauer, Petr
We attempt to model a 2D rough surface by computing non-stationary Navier-Stokes ow over a periodic pattern. The solution is obtained by means of _nite element method (FEM). We use non-conforming Crouzeix Raviart elements for velocity and piecewise con- stant elements for pressure. The resulting linear system is solved by multigrid method. We present computational studies of the problem.
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Application of floristic mapping results in the Elbe Sandstones 1991-2007
Bauer, P. ; Härtel, Handrij ; Riebe, H.
Floristic mapping of the Elbe Sandstones Protected Landscape Area (since 2000 including the Bohemian Switzerland National Park) proceeds since 1991, simultaneously with a similar project on the German side (in the Saxon Switzerland). The main contribution of this project consists in the methodical, scientific (e.g., new taxa in the territory of the Czech Republic) and applied level (e.g., basis for management and forest planning, designation of new protected areas).
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Numerická simulace mezní vrstvy atmosféry
Bauer, Petr
We develop a mathematical model based on Navier-Stokes equations for viscous incompressible flow and diffusion-convection equation describing pollution transport, and solve the model using finite element method (FEM). We use a simple algebraic model with turbulent viscosity. The FEM allows us to use different terrain shapes and study their influence. Essential part of the work is numerical analysis, which examines the properties of algorithms with respect to numerical parameters. We present the recent results of flow over a square gap.
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