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Extended analysis of a pseudo-spectral approach to the vortex patch problem
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing.
2018 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

A prestudy indicated superior accuracy and convergence properties of apseudo-spectral method compared to a spline-based method implemented byCòrdoba et al. in 2005 when solving the α-patches problem. In this thesis wefurther investigate the numerical properties of the pseudo-spectral method and makeit more robust by implementing the Nonequispaced Fast Fourier Transform. Wepresent a more detailed overview and analysis of the pseudo-spectral method and theα-patches problem in general and conclude that the pseudo-spectral method issuperior in regards to accuracy in periodic settings.

Place, publisher, year, edition, pages
2018. , p. 49
Series
UPTEC F, ISSN 1401-5757 ; 18024
Keywords [en]
α-patches problem, discontinuous vorticity equations, 2D Euler equations, Surface Quasi-Geostrophic equations, self-similar solutions, Pseudo-spectral methods, Nonequispaced fast fourier transform.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-354422OAI: oai:DiVA.org:uu-354422DiVA, id: diva2:1221196
Educational program
Master Programme in Engineering Physics
Supervisors
Examiners
Available from: 2018-06-26 Created: 2018-06-19 Last updated: 2018-06-26Bibliographically approved

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Thesis_MSc_Bertolino.pdf(1410 kB)83 downloads
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CiteExportLink to record
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  • apa
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Output format
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