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Meshless modelling of fluid flow
Prochazková, Zdeňka ; Zatočilová, Jitka (referee) ; Čermák, Libor (advisor)
The thesis focuses on the Smoothed Particle Hydrodynamics (SPH) meshfree method. In the thesis, basic equations needed for solving fluid flow problems are derived - continuity equation, momentum equation and energy equation. The text presents the basic principles of the method, selection of a smoothing function, spacial discretization and a suitable time integration method. As an example of usage, the thesis models the shock tube problem. On this problem, we can compare the solution using the SPH method with the accurate solution.
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Numerical simulation of sound propagation by difference methods
Prochazková, Zdeňka ; Zatočilová, Jitka (referee) ; Čermák, Libor (advisor)
The goal of this thesis is to introduce the finite difference method (FDM) adjusted for usage in modeling of sound propagation, and other approaches that are used together with this method. These approaches include selective filtering and time integration using the Runge-Kutta method, which has low computer memory requirements. An important topic in modeling sound propagation are boundary conditions. The thesis examines and verifies several types of boundary conditions. Included in the thesis are solutions to example problems implemented in Matlab.
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Numerical simulation of sound propagation by difference methods
Prochazková, Zdeňka ; Zatočilová, Jitka (referee) ; Čermák, Libor (advisor)
The goal of this thesis is to introduce the finite difference method (FDM) adjusted for usage in modeling of sound propagation, and other approaches that are used together with this method. These approaches include selective filtering and time integration using the Runge-Kutta method, which has low computer memory requirements. An important topic in modeling sound propagation are boundary conditions. The thesis examines and verifies several types of boundary conditions. Included in the thesis are solutions to example problems implemented in Matlab.
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Meshless modelling of fluid flow
Prochazková, Zdeňka ; Zatočilová, Jitka (referee) ; Čermák, Libor (advisor)
The thesis focuses on the Smoothed Particle Hydrodynamics (SPH) meshfree method. In the thesis, basic equations needed for solving fluid flow problems are derived - continuity equation, momentum equation and energy equation. The text presents the basic principles of the method, selection of a smoothing function, spacial discretization and a suitable time integration method. As an example of usage, the thesis models the shock tube problem. On this problem, we can compare the solution using the SPH method with the accurate solution.
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