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CFD software calibration
Gego, Tomáš ; Zima, Martin (referee) ; Popela, Robert (advisor)
The objective of this thesis was to calibrate a CFD software for use on a Formula Student race car. The calibration is performed by comparing the experimental data from the measurement of a single element wing in a wind tunnel with the same case replicated in a CFD software, for which the optimization of settings of the meshing and solver is performed. The result is an evaluation of deviations of CFD by assessing aerodynamic characteristics such as downforce, drag, pressure distribution, separation and wake in freestream and ground effect. The results are processed into a graphical and text form for future use in the design of aerodynamic components.
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Korteweg fluids - modeling, analysis and computer simulations
Blaškovičová, Monika ; Málek, Josef (advisor) ; Řehoř, Martin (referee)
We present two possible thermodynamical approaches towards a derivation of a model, proposed by Korteweg at the beginning of the 20th century, that is suitable to describe phase transitions liquid-vapor with non-sharp interfaces. The first approach (Dunn, Serrin (1985)) is based on classical rational continuum thermodynamics. The second approach (Heida, Málek (2010)) stems from the principles of classical nonequilibrium continuum thermodynamics. We compare both approaches in favor of the second one. The considered constitutive equation for the Cauchy stress is nonlinear. Nonlinearity and higher order derivatives of the density makes the analysis of relevant problems for the Navier-Stokes- Korteweg (NSK) fluid more difficult in comparison to problems concerning Navier-Stokes equations. Special attention is devoted to the appropriate choice of the boundary conditions. We also investigate the influence of compressibility on the stability of bubbles by comparing numerical simulations for compressible NSK fluid and its incompressible variant. Instabilities observed for a compressible NSK fluid are due to the pressure that has a different meaning for incompressible fluid. Powered by TCPDF (www.tcpdf.org)
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Comparison Of Discretization Methods
Kárský, Vilém
This paper deals with discretization of the continuous systems. There will be presented two common methods how to do this job and one uncommon. The uncommon method is to look at the system as filter. So the system could be implemented as a FIR filter. In the end of this paper these methods will be compared.
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Commented translation of a text on science and technology
Heger, Matěj ; Krhutová, Milena (referee) ; Zmrzlá, Petra (advisor)
Bakalářská práce se zaměřuje především na překlad odborného textu s důrazem na použitou terminologii. Vybraný text pojednává o problematice mikrovln a jejich zpracování v počítačových systémech. Práce sestává z dvou stěžejních částí, přičemž první se soustřeďuje na výše zmíněný překlad odborného textu a druhá se věnuje jeho podrobné jazykové analýze. Analytický rámec zahrnuje všechny důležité jazykovědné disciplíny a předkládá výňatky přímo z textu. Tyto výňatky jsou následně porovnávány a postupně je ověřována správnost použitých jazykových prostředků pomocí citací z kvalitních zdrojů a slovníků.
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Inequalities for discrete and continuous supremum operators
Oľhava, Rastislav ; Pick, Luboš (advisor) ; Cianchi, Andrea (referee) ; Nekvinda, Aleš (referee)
Inequalities for discrete and continuous supremum operators Rastislav O , lhava In this thesis we study continuous and discrete supremum operators. In the first part we investigate general properties of Hardy-type operators involving suprema. The boundedness of supremum operators is used for characterization of interpo- lation spaces between two Marcinkiewicz spaces. In the second part we provide equivalent conditions for boundedness of supremum operators in the situation when the domain space in one of the classical Lorentz spaces Λp w1 or Γp w1 and the target space Λq w2 or Γq w2 . In the case p ≤ q we use inserting technique obtaining continuous conditions. In the setting of coefficients p > q we provide only partial results obtaining discrete conditions using discretization method. In the third part we deal with a three-weight inequality for an iterated discrete Hardy-type operator. We find its characterization which enables us to reduce the problematic case when the domain space is a weighted ℓp with p ∈ (0, 1) into the one with p = 1. This leads to a continuous analogue of investigated discrete inequality. The work consists of author's published and unpublished results along with material appearing in the literature.
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Inequalities for discrete and continuous supremum operators
Oľhava, Rastislav ; Pick, Luboš (advisor) ; Nekvinda, Aleš (referee)
Inequalities for discrete and continuous supremum operators Rastislav O , lhava In this thesis we study continuous and discrete supremum operators. In the first part we investigate general properties of Hardy-type operators involving suprema. The boundedness of supremum operators is used for characterization of interpo- lation spaces between two Marcinkiewicz spaces. In the second part we provide equivalent conditions for boundedness of supremum operators in the situation when the domain space in one of the classical Lorentz spaces Λp w1 or Γp w1 and the target space Λq w2 or Γq w2 . In the case p ≤ q we use inserting technique obtaining continuous conditions. In the setting of coefficients p > q we provide only partial results obtaining discrete conditions using discretization method. In the third part we deal with a three-weight inequality for an iterated discrete Hardy-type operator. We find its characterization which enables us to reduce the problematic case when the domain space is a weighted ℓp with p ∈ (0, 1) into the one with p = 1. This leads to a continuous analogue of investigated discrete inequality. The work consists of author's published and unpublished results along with material appearing in the literature.
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The effect of sampling period error on frequency analysis
Pietrowicz, Daniel ; Marada, Tomáš (referee) ; Zuth, Daniel (advisor)
This thesis will be focused on signal measurement in connection with digitization and analysis inaccuracy of sampling peroid effect. Brief narration of frequency analysis and description of Matlab and his capabilities with this issue. Then creation procedure for simulation model of analog signal and his fault digitization via sampling period. Systematic comparation of this effect on inaccuracy of sampling period on frequency analysis.
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Bingham-Korteweg fluids - modeling, analysis and computer simulations
Los, Tomáš ; Málek, Josef (advisor) ; Bulíček, Miroslav (referee)
Flow of granular materials is usually initiated when the shear stress is large enough and exceeds certain critical value. This can result in the presence of the dead-zones in which the flow itself does not take place. Motions of such materials are frequently described by Bingham model. Flows of granular fluids are frequently connected with the presence of free surface. In the thesis Bingham model is incorporated into a more general framework of Bingham-Korteweg fluids, which is a suitable way how to transfer free- boundary problems into the problems on fixed domains. A part of the thesis concerns mathematical analysis of interesting relevant problems for incompressible fluids. 1
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Probabilistic Spacetimes
Káninský, Jakub ; Svítek, Otakar (advisor) ; Žofka, Martin (referee)
Probabilistic Spacetime is a simple generalization of the classical model of spa- cetime in General Relativity, such that it allows to consider multiple metric field realizations endowed with probabilities. The motivation for such a generalization is a possible application in the context of some quantum gravity approaches, na- mely those using the path integral. It is argued that this model might be used to restrict the precision of the geometry on small scales without postulating discrete structure; or it may be used as an effective description of a probabilistic geometry resulting from a full-fledged quantum gravity computation.
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