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Metoda vrstevnic a modelování proudění nemísitelných nestlačitelných tekutin
Čapek, Marek ; Hron, Jaroslav (advisor) ; Maršík, František (referee)
The focus of this thesis are three-dimensional simulations of flow of two immiscible incompressible viscous fluids and distribution of concentration transported by the flow where the free interface between the fluids is realized by level-set method. It is applied to blood flow and coagulation. The blood flow is described using Navier-Stokes equations for incompressible fluids, numerical method is done by finite element method with Q2 - Q1 elements and the problem is solved as coupled. The distribution of concentration is described using transport equation, discretization is done using Q1 elements.
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Mathematical modeling of blood coagulation process
Čapek, Marek ; Hron, Jaroslav (advisor) ; Bodnár, Tomáš (referee) ; Lukáčová Medvídová, Mária (referee)
On vessel wall injury the complex process of blood coagulation is set off. It is composed of vasoconstriction, primary hemostasis, secondary hemostasis and fibrinolysis. This work enriches current model of primary hemostasis of Storti. The previous model used ALE formalism for tracing of development of platelet plug. The phase field method is used for tracing of the development of interface blood-thrombus. Storti's primary hemostasis was extended to capture the fact, that the platelets can be activated in the blood flow in the area of reactive surface not only by influence of chemical agents like thromboxane, ADP and thrombin but also by their exposure to elevated values of shear stress. In our first approach we deal the emerging thrombus as a fluid with very high viscosity. In the second approach it was assumed, that platelet plug develops as a viscoelastic material according to constitutive equations of clot introduced by Kempen. In this manner platelet clot matures into blood clot. In both approaches the blood is represented as a non-Newtonian fluid. The framework of the phase field method was applied also to the model of high shear rate thrombosis of Weller. Weller's original model of Weller took advantage of the cylindrical symmetry of computational domains for its computations, hence the...
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Metoda vrstevnic a modelování proudění nemísitelných nestlačitelných tekutin
Čapek, Marek ; Maršík, František (referee) ; Hron, Jaroslav (advisor)
The focus of this thesis are three-dimensional simulations of flow of two immiscible incompressible viscous fluids and distribution of concentration transported by the flow where the free interface between the fluids is realized by level-set method. It is applied to blood flow and coagulation. The blood flow is described using Navier-Stokes equations for incompressible fluids, numerical method is done by finite element method with Q2 - Q1 elements and the problem is solved as coupled. The distribution of concentration is described using transport equation, discretization is done using Q1 elements.
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