Simulation of two-dimensional flow past obstacles using lattice-gas cellular automata
Simulace dvojrozměrného toku kolem překážek za použití "lattice-gas" celulárních automatů
diplomová práce (OBHÁJENO)
Zobrazit/ otevřít
Trvalý odkaz
http://hdl.handle.net/20.500.11956/86024Identifikátory
SIS: 190594
Kolekce
- Kvalifikační práce [10932]
Autor
Vedoucí práce
Oponent práce
Pavelka, Michal
Fakulta / součást
Matematicko-fyzikální fakulta
Obor
Matematické a počítačové modelování ve fyzice a technice
Katedra / ústav / klinika
Ústav teoretické fyziky
Datum obhajoby
16. 6. 2017
Nakladatel
Univerzita Karlova, Matematicko-fyzikální fakultaJazyk
Angličtina
Známka
Dobře
Klíčová slova (česky)
celulární automaty, Hardyho-Pomeaův-de Pazzisův model Frischův-Hasslacherův-Pomeaův model, turbulentní tok, dvojrozměrný tokKlíčová slova (anglicky)
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.