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Computation of viscous flows due to an oscillating cylinder of rectangular cross section.
Outrata, Ondřej ; Hron, Jaroslav (advisor) ; Tůma, Karel (referee)
Incompressible flows due to an oscillating cylinder of rectangular cross section in viscous fluid are governed by Navier-Stokes equations. In this thesis, these equations will be reformulated in a weak sense and their solution approximated by Finite Element Method. Fictitious Boundary Method is used as a tool to handle time dependent boundary. Behavior of a fluid was computed using these methods and is illustrated for various parameters, especially a behavior of the vortices originated in liquid He II is compared to an experiment.
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Solution of inverse problem for a flow around an airfoil
Šimák, Jan ; Feistauer, Miloslav (advisor) ; Felcman, Jiří (referee) ; Sváček, Petr (referee)
Title: Solution of inverse problem for a flow around an airfoil Author: Mgr. Jan Šimák Department: Department of Numerical Mathematics Supervisor: prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c., Department of Numerical Mathematics Abstract: The method described in this thesis deals with a solution of an inverse problem for a flow around an airfoil. It can be used to design an airfoil shape according to a specified velocity or pressure distribution along the chord line. The method is based on searching for a fixed point of an operator, which combines an approximate inverse and direct operator. The approximate inverse operator, derived on the basis of the thin airfoil theory, assigns a corresponding shape to the specified distribution. The resulting shape is then constructed using the mean camber line and thickness function. The direct operator determines the pressure or velocity distribution on the airfoil surface. We can apply a fast, simplified model of potential flow solved using the Fredholm integral equation, or a slower but more accurate model of RANS equations with a k-omega turbulence model. The method is intended for a subsonic flow.
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Computation of viscous flows due to an oscillating cylinder of rectangular cross section.
Outrata, Ondřej ; Hron, Jaroslav (advisor) ; Tůma, Karel (referee)
Incompressible flows due to an oscillating cylinder of rectangular cross section in viscous fluid are governed by Navier-Stokes equations. In this thesis, these equations will be reformulated in a weak sense and their solution approximated by Finite Element Method. Fictitious Boundary Method is used as a tool to handle time dependent boundary. Behavior of a fluid was computed using these methods and is illustrated for various parameters, especially a behavior of the vortices originated in liquid He II is compared to an experiment.
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Solution of inverse problem for a flow around an airfoil
Šimák, Jan ; Feistauer, Miloslav (advisor) ; Felcman, Jiří (referee) ; Sváček, Petr (referee)
Title: Solution of inverse problem for a flow around an airfoil Author: Mgr. Jan Šimák Department: Department of Numerical Mathematics Supervisor: prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c., Department of Numerical Mathematics Abstract: The method described in this thesis deals with a solution of an inverse problem for a flow around an airfoil. It can be used to design an airfoil shape according to a specified velocity or pressure distribution along the chord line. The method is based on searching for a fixed point of an operator, which combines an approximate inverse and direct operator. The approximate inverse operator, derived on the basis of the thin airfoil theory, assigns a corresponding shape to the specified distribution. The resulting shape is then constructed using the mean camber line and thickness function. The direct operator determines the pressure or velocity distribution on the airfoil surface. We can apply a fast, simplified model of potential flow solved using the Fredholm integral equation, or a slower but more accurate model of RANS equations with a k-omega turbulence model. The method is intended for a subsonic flow.
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