doktorska disertacija
Jan Tibaut (Author), Jure Ravnik (Mentor)

Abstract

V doktorski disertaciji predstavljamo hitro robno-območno integralsko metodo, ki smo jo uporabili za reševanje prenosnih pojavov v tekočini. Hitra robno-območna integralska metoda izhaja iz robno-območne integralske metode. Beseda hitra pove, da smo jo pospešili. Računska kompleksnost robno-območne integralske metode raste s kvadratom števila neznank. Zaradi tega hitro dosežemo zmogljivost razpoložljive računalniške opreme in smo tako omejeni na preproste primere. Z aproksimacijsko metodo zmanjšamo računsko kompleksnost robno-območne integralske metode. Uporabili smo križno aproksimacijo s hierarhično razdelitvijo matrik. Razvit algoritem smo primerjali s primeri, ki so v svetu priznani. V naših raziskavah smo rešili hitrostno-vrtinčno obliko Navier-Stokesovih enačb. Simulirali smo tok nanotekočine, ki ga žene naravna konvekcija v zaprti kotanji. Nanotekočina je zmes tekočine in delcev, ki imajo velikost nekaj nanometrov. Zapisali smo model, s katerim smo rešili tok nanotekočine, ki je vsebovala nanodelce aluminijevega oksida.

Keywords

robno-območna integralska metoda;križna aproksimacija;nanotekočine;prenos toplote;naravna konvekcija;hitrostno-vrtinčna oblika Navier-Stokesovih enačb;računalniška dinamika tekočin;disertacije;

Data

Language: Slovenian
Year of publishing:
Typology: 2.08 - Doctoral Dissertation
Organization: UM FS - Faculty of Mechanical Engineering
Publisher: [J. Tibaut]
UDC: 519.64:536.243(043.3)
COBISS: 303452928 Link will open in a new window
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Other data

Secondary language: English
Secondary title: Fast boundary-domain integral method for simulation of transport phenomena in fluids
Secondary abstract: In this dissertation, we present a Fast Boundary-Domain Integral Method that was used to solve transport phenomena in fluids. The Fast Boundary-Domain Integral Method has derived from the Boundary-Domain Integral Method. The word fast states that an acceleration method was employed. The computational cost of the Boundary-Domain Integral Method increases with the square of the number of unknowns. Thus, the computational cost quickly reaches the maximal computational power. Therefore, we are limited to smaller cases. In order to reduce the computational cost of the Boundary-Domain Integral Method, an approximation procedure has to be employed. We approximated the matrices that evolve from the Boundary-Domain Integral Method with a hierarchical decomposition method and an adaptive cross approximation algorithm. The developed algorithm was tested on test cases that are recognized in the world. In this study, we solved the velocity-vorticity formulation of the Navier-Stokes equations. We simulated a buoyancy-driven flow of a nanofluid in a closed cavity. The nanofluid is a mixture of a base fluid in nanoparticles. The nanoparticles are of the size of few nanometers. We present a model to solve the flow of a nanofluid. The nanofluid contained nanoparticles of alumina.
Secondary keywords: boundary-domain integral method;H-structure;adaptive cross approximation;nanofluids;heat transfer;natural convection;velocity-vorticity Navier-Stokes formulation;computational fluid dynamics;
Type (COBISS): Doctoral dissertation
Thesis comment: Univ. v Mariboru, Fak. za strojništvo
Pages: X f., 136 str.
ID: 11146381