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Simulace dvojrozměrného toku kolem překážek za použití "lattice-gas" celulárních automatů
dc.contributor.advisorScholtz, Martin
dc.creatorTomášik, Miroslav
dc.date.accessioned2017-07-07T09:55:54Z
dc.date.available2017-07-07T09:55:54Z
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/20.500.11956/86024
dc.description.abstractCellular 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.cs_CZ
dc.description.abstractCellular 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.en_US
dc.languageEnglishcs_CZ
dc.language.isoen_US
dc.publisherUniverzita Karlova, Matematicko-fyzikální fakultacs_CZ
dc.subjectcelulární automatycs_CZ
dc.subjectHardyho-Pomeaův-de Pazzisův model Frischův-Hasslacherův-Pomeaův modelcs_CZ
dc.subjectturbulentní tokcs_CZ
dc.subjectdvojrozměrný tokcs_CZ
dc.subjectcellular automataen_US
dc.subjectHardy-Pomeau-de Pazzis modelen_US
dc.subjectFrisch-Hasslacher-Pomeauen_US
dc.subjectturbulent flowen_US
dc.subjecttwo-dimensional flowen_US
dc.subjectthree dimensional flowen_US
dc.titleSimulation of two-dimensional flow past obstacles using lattice-gas cellular automataen_US
dc.typediplomová prácecs_CZ
dcterms.created2017
dcterms.dateAccepted2017-06-16
dc.description.departmentInstitute of Theoretical Physicsen_US
dc.description.departmentÚstav teoretické fyzikycs_CZ
dc.description.facultyMatematicko-fyzikální fakultacs_CZ
dc.description.facultyFaculty of Mathematics and Physicsen_US
dc.identifier.repId190594
dc.title.translatedSimulace dvojrozměrného toku kolem překážek za použití "lattice-gas" celulárních automatůcs_CZ
dc.contributor.refereePavelka, Michal
thesis.degree.nameMgr.
thesis.degree.levelnavazující magisterskécs_CZ
thesis.degree.disciplineMatematické a počítačové modelování ve fyzice a technicecs_CZ
thesis.degree.disciplineMathematical and Computer Modelling in Physics and Engineeringen_US
thesis.degree.programPhysicsen_US
thesis.degree.programFyzikacs_CZ
uk.thesis.typediplomová prácecs_CZ
uk.taxonomy.organization-csMatematicko-fyzikální fakulta::Ústav teoretické fyzikycs_CZ
uk.taxonomy.organization-enFaculty of Mathematics and Physics::Institute of Theoretical Physicsen_US
uk.faculty-name.csMatematicko-fyzikální fakultacs_CZ
uk.faculty-name.enFaculty of Mathematics and Physicsen_US
uk.faculty-abbr.csMFFcs_CZ
uk.degree-discipline.csMatematické a počítačové modelování ve fyzice a technicecs_CZ
uk.degree-discipline.enMathematical and Computer Modelling in Physics and Engineeringen_US
uk.degree-program.csFyzikacs_CZ
uk.degree-program.enPhysicsen_US
thesis.grade.csDobřecs_CZ
thesis.grade.enGooden_US
uk.abstract.csCellular 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.cs_CZ
uk.abstract.enCellular 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.en_US
uk.file-availabilityV
uk.publication.placePrahacs_CZ
uk.grantorUniverzita Karlova, Matematicko-fyzikální fakulta, Ústav teoretické fyzikycs_CZ


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