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undergraduate thesis
Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka
2023. urn:nbn:hr:166:678938
Korda, Marko
University of Split
Faculty of Science
Department of Physics

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Korda, M. (2023). Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:678938

Korda, Marko. "Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka." Undergraduate thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:678938

Korda, Marko. "Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka." Undergraduate thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:678938

Korda, M. (2023). 'Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka', Undergraduate thesis, University of Split, Faculty of Science, accessed 11 May 2024, https://urn.nsk.hr/urn:nbn:hr:166:678938

Korda M. Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 May 11] Available at: https://urn.nsk.hr/urn:nbn:hr:166:678938

M. Korda, "Numeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka", Undergraduate thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:678938

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Metadata
TitleNumeričko rješavanje Navier-Stokesovih jednadžbi: Vizualizacija polja brzine i tlaka
Title (english)Numerical Computation of the Navier-Stokes Equations Represented through Velocity and Pressure Fields
AuthorMarko Korda
MentorLarisa Zoranić (mentor)
Committee memberLarisa Zoranić (predsjednik povjerenstva)
Committee memberAnte Bilušić (član povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2023-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Mehanika fluida jedno je od zanimljivijih i primjenjivijih područja klasične fizike. Primjenjuje se u aerodinamici, meteorologiji, medicini i brojnim drugim područjima znanosti i inženjerstva. Njen glavni zadatak je rješavanje Navier-Stokesovih jednadžbi koje općenito nisu analitički rješive pa se koriste razne numeričke metode. Zadatak ovog rada je opisati jednu od tih metoda i primijeniti ju na rješavanje nekih jednostavnih dvodimenzionalnih primjera. Korištena je metoda konačnih razlika, Eulerova metoda i pomaknuta mreža. Programski kod za simulaciju je razvijen u programskom jeziku Python uz pomoć biblioteka NumPy i Matplotlib. Analitičko i numeričko rješenje toka kroz ravnu cijev su se dobro slagali prikazujući parabolični profil brzina. Slučaj ravne cijevi sa stepenicom je pokazao zanimljivo ponašanje stvaranjem vrtloga u podnožju stepenice. Za proučavanje polja tlaka zanimljivo je bilo riješiti problem šupljine s poklopcem koji se giba velikom brzinom udesno. Svi dobiveni rezultati su vizualizirani i vrlo dobro se slažu s očekivanjima.
Abstract (english)
Fluid mechanics is one of the more interesting and applicable areas of classical physics. It is applied in aerodynamics, meteorology, medicine, and numerous other fields of science and engineering. Its primary task is to solve the Navier-Stokes equations, which are generally not analytically solvable, so various numerical methods are used. The goal of this work is to describe one of these methods and apply it to solve some simple two-dimensional examples. The finite difference method, Euler’s method, and the staggered grid were used. The simulation code was developed in the Python programming language with the help of the NumPy and Matplotlib libraries. The analytical and numerical solutions of the flow through a straight pipe matched well, displaying a parabolic velocity profile. The case of a straight pipe with a step showed interesting behavior with the formation of vortices at the base of the step. To study the pressure field, it was interesting to solve the problem of a cavity with a lid moving rapidly to the right. All obtained results were visualized and aligned very well with expectations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:678938
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) icon
Created on2023-10-03 12:34:21