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Physics Simulator for SandBox Type Games
Kotulič, Patrik ; Peringer, Petr (referee) ; Hrubý, Martin (advisor)
This thesis focuses on the creation of a physics simulator of rigid body mechanics. The reader is familiarized with the principles used in current simulators of rigid body mechanics. The thesis then deals with numerical integration of the equations of motion, collision detection and collision resolution. The simulator is presented on a series of experiments. The resulting application can be used as a video game or as a tool for experimentation.
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N-Body Simulation Program
Kollárová, Martina ; Martinek, David (referee) ; Peringer, Petr (advisor)
The n -body problem simulator predicts the motion of celestial bodies by numerically integrating the laws of motion. Gravitational interactions are computed directly between the bodies using Newton's classical mechanics and the bodies are modelled as point masses. The application animates the problem and will be available under the GPL licence. It can be used while teaching continuous simulation to show accuracy differences between numerical integrators with various time steps. It can also serve as an experimentation tool for physics students. Some basic examples are included in the project, like the Solar System and the three body problem with the Earth, Moon and Sun.
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Design and simulation of manufacturing systems using simulation software for advanced planning and scheduling
Konečný, Štěpán ; Simeonov, Simeon (referee) ; Hromková, Ivana (advisor)
The Bachelor’s thesis deals with problematics of discrete-event simulation of production systems and clarification of basic concepts related to simulation, system, model and modelling using software for creating simulation models. The aim is to create simulation model of production line for paper boxes and to find the optimal solution that would meet the requirements for increase in productivity, eliminating downtime for individual machines while maintaining minimum production costs. The creation of the production system is solved in the simulation software Tecnomatix Plant Simulation 14. Furthermore, several solutions were designed and evaluated, from which the optimal solution with the lowest costs was selected.
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Numerical Methods Accuracy vs Precision of Arithmetic
Kluknavský, František ; Šátek, Václav (referee) ; Peringer, Petr (advisor)
Thesis is dedicated to evaluation of roundoff impact on numerical integration methods accuracy and effectivity. Contains theoretical expectations taken from existing literature, implementation of chosen methods, experimental measurement of attained accuracy under different circumstances and their comparison with regard to time complexity. Library contains Runge-Kutta methods to order 7 and Adams-Bashforth methods to order 20 implemented using C++ templates which allow optional arbitrary-precision arithmetic. Small models with known analytic solution were used for experiments.
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Platform .NET for Numerical Integration
Kopecký, Jiří ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with numeric solution of ordinary first-order differential equations and their systems. The first part of this thesis contains description of selected one-step integration methods. The second part is devoted to a language intended for differential equation notation. This part at first describes the study of languages of MATLAB, Maple and TKSL/386 simulation systems. Later, based on this study it presents a design of a new language. The penultimate part of the thesis deals with design and implementation of a system intended for the calculation of systems of differential equations. In the final part is then shown usage of this system to solve exercises from the Circuits Theory domain.
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Design and simulation of manufacturing systems using simulation software for advanced planning and scheduling
Konečný, Štěpán ; Simeonov, Simeon (referee) ; Hromková, Ivana (advisor)
The Bachelor’s thesis deals with problematics of discrete-event simulation of production systems and clarification of basic concepts related to simulation, system, model and modelling using software for creating simulation models. The aim is to create simulation model of production line for paper boxes and to find the optimal solution that would meet the requirements for increase in productivity, eliminating downtime for individual machines while maintaining minimum production costs. The creation of the production system is solved in the simulation software Tecnomatix Plant Simulation 14. Furthermore, several solutions were designed and evaluated, from which the optimal solution with the lowest costs was selected.
|
|
|
N-Body Simulation Program
Kollárová, Martina ; Martinek, David (referee) ; Peringer, Petr (advisor)
The n -body problem simulator predicts the motion of celestial bodies by numerically integrating the laws of motion. Gravitational interactions are computed directly between the bodies using Newton's classical mechanics and the bodies are modelled as point masses. The application animates the problem and will be available under the GPL licence. It can be used while teaching continuous simulation to show accuracy differences between numerical integrators with various time steps. It can also serve as an experimentation tool for physics students. Some basic examples are included in the project, like the Solar System and the three body problem with the Earth, Moon and Sun.
|
|
|
Physics Simulator for SandBox Type Games
Kotulič, Patrik ; Peringer, Petr (referee) ; Hrubý, Martin (advisor)
This thesis focuses on the creation of a physics simulator of rigid body mechanics. The reader is familiarized with the principles used in current simulators of rigid body mechanics. The thesis then deals with numerical integration of the equations of motion, collision detection and collision resolution. The simulator is presented on a series of experiments. The resulting application can be used as a video game or as a tool for experimentation.
|
|
|
Platform .NET for Numerical Integration
Kopecký, Jiří ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with numeric solution of ordinary first-order differential equations and their systems. The first part of this thesis contains description of selected one-step integration methods. The second part is devoted to a language intended for differential equation notation. This part at first describes the study of languages of MATLAB, Maple and TKSL/386 simulation systems. Later, based on this study it presents a design of a new language. The penultimate part of the thesis deals with design and implementation of a system intended for the calculation of systems of differential equations. In the final part is then shown usage of this system to solve exercises from the Circuits Theory domain.
|
|
|
Numerical Methods Accuracy vs Precision of Arithmetic
Kluknavský, František ; Šátek, Václav (referee) ; Peringer, Petr (advisor)
Thesis is dedicated to evaluation of roundoff impact on numerical integration methods accuracy and effectivity. Contains theoretical expectations taken from existing literature, implementation of chosen methods, experimental measurement of attained accuracy under different circumstances and their comparison with regard to time complexity. Library contains Runge-Kutta methods to order 7 and Adams-Bashforth methods to order 20 implemented using C++ templates which allow optional arbitrary-precision arithmetic. Small models with known analytic solution were used for experiments.
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