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Numerical simulation of jet flow using LES
Louda, Petr ; Kozel, K. ; Příhoda, Jaromír
The work deals with the numerical method for the large eddy simulation (LES) of incompressible flow. Governing system of filtered Navier-Stokes equations is completed by the Smagorinsky turbulence model and the Poisson equation is used for pressure instead of the continuity equation. The numerical method is based on an explicit scheme with fourth order accurate central approximation for convection and resolved diffusion. Preliminary results for the plane turbulent free jet are shown. Problem of the prescription of boundary conditions is discussed in detail.
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Robust solver of a system of nonlinear equations
Růžek, Bohuslav ; Kolář, Petr ; Kvasnička, M.
ANNIT (Artificial Neural Network Inversion Tool) is solver of a set of non- linear equations. It is implemented in MATLAB and Scilab. ANNIT is based on numerical approximation of mapping the right hand sides residuals of the original set of equations to searched parameters. A population of individuals is used for building such approximation. The shape, location and size of this population is adaptively changed during the inversion depending on the convergence of the solved problem. ANNIT has been thoroughly tested by using a set of standard problems and also by using selected geophysical problems (localization of the earthquake hypocenter, magnetotelluric inversion, inversion of group velocities of surface waves etc.).
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Prediction of turbulent flow over the inclined step by means of various two-equation turbulence models
Janeček, Vladislav ; Příhoda, Jaromír
The work deals with the numerical simulation of turbulent flow over an inclined step in a channel of the rectangular cross-section according to measurement of Makiola (1992). The simulation was carried out by means of the commercial software ANSYS FLUENT with users defined functions. Various two-equation turbulence models based on the k-eps formulation were tested with the aim to estimate their ability to predict the extent of the separation region and energy losses due to inclined step with the angle 15 deg. Numerical results were compared with experimental data from LDA measurements. Besides, determined energy losses were compared with losses in a channel with a backward-facing step.
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Přehled metod pro lokální vyhledávání kontaktu
Kopačka, Ján ; Gabriel, Dušan ; Plešek, Jiří
Lokální vyhledávání kontaktu je procedura kontaktního algoritmu sloužící k výpočtu vektoru penetrace mezi tzv. master a slave segmenty kontaktních ploch. Existuje několik technik jak toho docílit. V této práci je zmíněný problém řešen minimalizací funkce vzdálenosti mezi master segmentem a integračním bodem slave segmentu. Pro kvadratické isoparametrické prvky tato formulace vede na soustavu dvou nelineárních rovnic. K jejich řešení bylo použito několik metod (Newtonova-Raphsonova metoda, metoda projekce nejmenších čtverců, metoda největšího spádu, Broydenova metoda, BFGS metoda, DFP metoda a simplexová metoda), jejichž efektivita je v závěru porovnána.
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