Original title: Simulace dvojrozměrného toku kolem překážek za použití "lattice-gas" celulárních automatů
Translated title: Simulation of two-dimensional flow past obstacles using lattice-gas cellular automata
Authors: Tomášik, Miroslav ; Scholtz, Martin (advisor) ; Pavelka, Michal (referee)
Document type: Master’s theses
Year: 2017
Language: eng
Abstract: Cellular automata constitutes a unique approach to the modeling of complex systems. The major phase of their development in continuum mechanics came in the late 80s, but the closer inspection of their macroscopic limit revealed that it does not accurately correspond to hydrodynamic equations. Besides the Lattice-Boltzmann model, various other approaches to improve LGCA have emerged. The main focus of our research is on the Pair-interaction cellular automaton. In this thesis, we propose the non-deterministic variant of this automaton, and we compare it with its predecessor on the simulations of the "exploding cube", Taylor- Green vortex and fully developed turbulence. The results for the non-deterministic automaton seem quiet reasonable, but derivation of the hydrodynamic equations is necessary to conclude in what extent it solves the problem with anisotropic viscosity.
Keywords: cellular automata; Frisch-Hasslacher-Pomeau; Hardy-Pomeau-de Pazzis model; three dimensional flow; turbulent flow; two-dimensional flow; celulární automaty; dvojrozměrný tok; Hardyho-Pomeaův-de Pazzisův model Frischův-Hasslacherův-Pomeaův model; turbulentní tok

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/86024

Permalink: http://www.nusl.cz/ntk/nusl-357306


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Master’s theses