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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Fluid-structure interaction between blood and dissipating artery wall
 Fara, Jakub ; Tůma, Karel (advisor) ; Bodnár, Tomáš (referee)
In this thesis we introduce a new fluid-structure interaction model in the Eulerian description. This model is developed for blood flow in viscoelastic artery. For the fluid part a non-Newtonian model Oldroyd-B is used and for the structure part Kelvin-Voigt model is employed. Kelvin-Voigt model will be reached by a limiting process of the Oldroyd-B model. Interface between these two materials is guaranteed by conservative level-set method. Numerical tests of this model is performed by finite element method. This model is used for a simulation of two problems: a two dimensional channel with viscoelastic walls and pulsating inflow and Turek-Hron FSI benchmark. 1
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Fluid-structure interaction between blood and dissipating artery wall
 Fara, Jakub ; Tůma, Karel (advisor) ; Bodnár, Tomáš (referee)
In this thesis we introduce a new fluid-structure interaction model in the Eulerian description. This model is developed for blood flow in viscoelastic artery. For the fluid part a non-Newtonian model Oldroyd-B is used and for the structure part Kelvin-Voigt model is employed. Kelvin-Voigt model will be reached by a limiting process of the Oldroyd-B model. Interface between these two materials is guaranteed by conservative level-set method. Numerical tests of this model is performed by finite element method. This model is used for a simulation of two problems: a two dimensional channel with viscoelastic walls and pulsating inflow and Turek-Hron FSI benchmark. 1
Detailed record
Speed of convergence of damped oscilations
 Fara, Jakub ; Bárta, Tomáš (advisor) ; Pražák, Dalibor (referee)
We study solutions convergence of ordinary differential second order equation u′′(t)+ f(u′(t), t)u′(t) + |u|βu = 0, where β is a positive constant and f is a positive function. Physical meaning of this equation is one-dimensional damped oscilation with time va- riable environment resistance. We convert this studied function to the system of two equations of the first order. It enables us to proof the existence of some positively in- variant sets, hence we derive trajectory behaviour of solutions of this system. Thanks to that we will be able to do speed estimates of energy decrease for non-oscillation solution. Then in many cases we will be able to establish when the system solution for each time will oscillate or on the contrary when the oscillations will stop. 1
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See also: similar author names
2 FARA, Jiří
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