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Boundary conditions for stratified flows
Řezníček, Hynek ; Beneš, Luděk (advisor) ; Brechler, Josef (referee)
In this thesis is presented mathematical model of stratified 2D flow of viscous incopressible fluid and its program realization. Basic equations of fluid flow in Boussinesq approximation were solved by finite volume method on structured nonortogonal grid. Discretization was done by the principle of semi-discretisation. The space derivative was solved by AUSM me- thod with MUSCL velocity reconstruction. The viscid terms were solved through auxiliary grids. During time discretization artificial compressibility method was used in dual time. The resulting system of ODEs is integrated in time by a suitable Runge-Kutta multistage scheme. Numerical experiments were calculated for flow with Reynolds number equals 1000. Further 3 numerical experiments are presented with different boundary conditions. 1
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Numerical simulation of flow over horizontal strip moving in stratified water
Bodnár, Tomáš ; Beneš, L.
The contribution deals with the numerical simulation of the flow over thin horizontal strip placed in the stably stratified fluid flow. Mathematical model is based on the Boussinesq approximation of tne N-S equations. Two different numerical schemes were used for numerical solution. The first one is high order compact finite difference scheme, the secon one is the finite volume AUSM MUSCL scheme.
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Numerické řešení 2D proudění v atmosférické mezní vrstvě
Šimonek, J. ; Tauer, J. ; Kozel, K. ; Jaňour, Zbyněk ; Příhoda, Jaromír
The work deals with the numerical solution of the 2D incompressible laminar flow over the profile DCA 10% for Reynolds numbers 10^5 and 10^6 and with the stratified flow in the atmospheric boundary layer over the sinus hill for Reynolds numbers 10^8 and 5x10^8. The mathematical model for the 2D laminar flow is formed by the Navier-Stokes equations for incompressible fluid. The averaged Navier-Stokes equations for incompressible turbulent flow with addition of the equation of density change (Boussinesq model) were used as a mathematical model for stratified flow in ABL. Turbulent flow was modelled by means of the algebraic turbulence model.
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