prikaz prve stranice dokumenta Variational formulation of the Ekman ocean
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master's thesis
Variational formulation of the Ekman ocean
Split: University of Split, University of Split, Faculty of science, 2021. urn:nbn:hr:166:001202
Katušić, Katarina
University of Split
Faculty of Science
Department of Physics

Cite this document

Katušić, K. (2021). Variational formulation of the Ekman ocean (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:001202

Katušić, Katarina. "Variational formulation of the Ekman ocean." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:001202

Katušić, Katarina. "Variational formulation of the Ekman ocean." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:001202

Katušić, K. (2021). 'Variational formulation of the Ekman ocean', Master's thesis, University of Split, Faculty of Science, accessed 16 July 2024, https://urn.nsk.hr/urn:nbn:hr:166:001202

Katušić K. Variational formulation of the Ekman ocean [Master's thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 July 16] Available at: https://urn.nsk.hr/urn:nbn:hr:166:001202

K. Katušić, "Variational formulation of the Ekman ocean", Master's thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:001202

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Metadata
TitleVariational formulation of the Ekman ocean
Title (croatian)Varijacijska formulacija Ekmanovog oceana
AuthorKatarina Katušić
MentorŽarko Kovač (mentor)
Committee memberŽarko Kovač (predsjednik povjerenstva)
Committee memberJadranka Šepić (član povjerenstva)
Committee memberŽeljka Sanader Maršić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2021-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Geophysics
Abstract
At the end of the nineteenth century during the expedition on board Fram, Fridtjof Nansen noticed that icebergs had a tendency to drift to the right of the wind direction. Vagn Walfrid Ekman was the first to mathematically assign this veering to the Coriolis effect and in 1905 presented a model for the vertical structure of the ocean currents induced by wind. He assumed steady wind and a uniformly rotating unbounded ocean. In his solution the surface current is deflected at a 45 degree right to the wind direction. Also, this deflection is independent of the wind direction. Existence of such a symmetry is typically associated with conservation principles. The primary objective of this paper is to formulate the Ekman problem using the variational principle, a seldom used approach during university classes on physical oceanography. Additionally, analytical and numerical formulations are explored for periodic wind forcing.
Abstract (croatian)
Krajem devetnaestog stoljeća, tijekom ekspedicije brodom Fram, Fridtjof Nansen primjećuje da sante leda skreću udesno u odnosu na smjer vjetra. Vagn Walfrid Ekman je prvi matematički pripisao skretanje Coriolisovoj sili i 1905. prezentirao model vertikalne strukture struja uzrokovanih vjetrom. Pretpostavio je konstantni vjetar po iznosu i smjeru te uniformno rotirajući neomeđeni ocean. U njegovom rješenju površinska struja zakreće 45 stupnjeva udesno od smjera vjetra. Također, otklon struje ne ovisi o smjeru vjetra. Postojanje takve simetrije je povezano sa zakonima očuvanja. Cilj rada je formulacija Ekmanovog problema koristeći varijacijski račun. Takav klasičan pristup se rijetko koristi tijekom nastave iz oceanografije. Uz to, analitičko i numeričko rješenje se proučavaju za periodičan vjetar.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:166:001202
Study programmeTitle: Physics; specializations in: major in teaching, major in Astrophysics, major in Biophysics, major in Enviromental physics, major in Computational physics, major in Astrophysics and physics of elemental particles
Course: major in Enviromental physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to authenticated users
Terms of useLicence In copyright icon
RepositoryRepository of Faculty of Science
Created on2021-10-08 08:52:00