Simulation of two-dimensional flow past obstacles using lattice-gas cellular automata
Simulace dvojrozměrného toku kolem překážek za použití "lattice-gas" celulárních automatů
diploma thesis (DEFENDED)
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http://hdl.handle.net/20.500.11956/86024Identifiers
Study Information System: 190594
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- Kvalifikační práce [11981]
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
Mathematical and Computer Modelling in Physics and Engineering
Department
Institute of Theoretical Physics
Date of defense
16. 6. 2017
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
English
Grade
Good
Keywords (Czech)
celulární automaty, Hardyho-Pomeaův-de Pazzisův model Frischův-Hasslacherův-Pomeaův model, turbulentní tok, dvojrozměrný tokKeywords (English)
cellular automata, Hardy-Pomeau-de Pazzis model, Frisch-Hasslacher-Pomeau, turbulent flow, two-dimensional flow, three dimensional flowCellular 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.
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.