20.500.12556/DKUM-73637 Hitra robno-območna integralska metoda za simulacijo prenosnih pojavov v tekočinah Fast boundary-domain integral method for simulation of transport phenomena in fluids 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. 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. robno-območna integralska metoda $\mathcal{H}$-struktura križna aproksimacija nanotekočine prenos toplote naravna konvekcija hitrostno-vrtinčna oblika Navier-Stokesovih enačb računalniška dinamika tekočin Boundary-domain integral method H-structure adaptive cross approximation nanofluids heat transfer natural convection velocity-vorticity Navier-Stokes formulation computational fluid dynamics true true false [J. Tibaut] Slovenski jezik Angleški jezik Doktorska disertacija 2019-05-28 13:39:20 2019-12-23 15:02:38 2022-08-02 06:05:54 2020-01-15 03:20:51 2019 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.64:536.243(043.3) 303452928 URN:SI:UM:DK:1ZJYR9ER DOK_Tibaut_Jan_2019.pdf DOK_Tibaut_Jan_2019.pdf 1 7DCD322518862EBF0B5C153FB16700C8 49990f44625d5b4ae643185aa095ad291e6f4aa1eb2037e1bbb526a38b85d340 1f204549-7c11-11eb-bb7a-00155d0001ca 20.500.12556/dkum/a769960e-6e29-4463-be11-54a9013c6068 https://dk.um.si/Dokument.php?lang=slv&id=139366 Fakulteta za strojništvo 0 0 0