20.500.12556/RUL-177223 Turbulence in simulacije velikih turbulentnih vrtincev magistrsko delo Turbulence and large eddy simulations V magistrskem delu preučujemo pojav turbulence in njeno analizo preko simulacije velikih turbulentnih vrtincev (LES - large eddy Simulation). Najprej so obravnavani temeljni ohranitveni zakoni, kot so zakon o ohranitvi mase, gibalne količine, vrtilne količine in skalarja. Nato se osredotočimo na postopek filtracije in modeliranje majhnih skal. Obravnavamo problem zaprtja in različne modele s katerimi ga rešimo, glavni primer je model Smagorinskega. Pomemben del dela je tudi analiza energije, ki temelji na Kolmogorovi teoriji turbulence in nam omogoča oceniti napako metode. V zaključnem delu so predstavljene numerične simulacije, izvedene z modelom MicroHH, ki prikazujejo turbulentne procese v atmosferi nad območjema Planice in Ljubljanskega barja. Rezultate primerjamo z razpoložljivimi meritvami senzorja SODAR in že obstoječim modelom Aladin. In this master’s thesis we study the phenomenon of turbulence and its analysis through large eddy Simulation (LES). We first discuss the fundamental conservation laws, such as the conservation of mass, momentum, angular momentum, and scalar quantities. We then focus on the filtering procedure and the modeling of small scales. We examine the closure problem and various models used to address it, with the Smagorinsky model serving as the main example. An important part of the thesis is also the analysis of energy, which is based on Kolmogorov’s theory of turbulence and allows us to estimate the error of the method. In the final part, numerical simulations performed with the MicroHH model are presented, illustrating turbulent processes in the atmosphere above the regions of Planica and the Ljubljana Marshes. The results are compared with available SODAR sensor measurements and the existing Aladin model. energija modeliranje turbulenca veliki turbulentni vrtinci ohranitveni zakoni vektorska analiza Navier-Stokesove enačbe filtracija energy modeling turbulence large eddies conservation laws vector analysis Navier-Stokes equations filtering true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2025-12-18 08:15:06 2025-12-18 08:15:13 2025-12-29 03:51:20 0000-00-00 00:00:00 2025 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 532:519.6 159086 261559555 21098.pdf 21098.pdf 1 97B9C04CA0D1D1AFBAFA7D62531DC848 9dec16b7145fe9b556174bf087e990782206d2f353bff7e820196ccf40876bf0 dc2a882c-dbe0-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=224134 Fakulteta za matematiko in fiziko 0 0 0