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Turbulence in simulacije velikih turbulentnih vrtincev : magistrsko delo
ID Kosmač, Uroš (Author), ID Žagar, Emil (Mentor) More about this mentor... This link opens in a new window, ID Smerkol, Peter (Comentor)

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Abstract
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.

Language:Slovenian
Keywords:energija, modeliranje, turbulenca, veliki turbulentni vrtinci, ohranitveni zakoni, vektorska analiza, Navier-Stokesove enačbe, filtracija
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2025
PID:20.500.12556/RUL-177223 This link opens in a new window
UDC:532:519.6
COBISS.SI-ID:261559555 This link opens in a new window
Publication date in RUL:18.12.2025
Views:52
Downloads:13
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Secondary language

Language:English
Title:Turbulence and large eddy simulations
Abstract:
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.

Keywords:energy, modeling, turbulence, large eddies, conservation laws, vector analysis, Navier-Stokes equations, filtering

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