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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Extended analysis of a pseudo-spectral approach to the vortex patch problem

Bertolino, Mattias January 2018 (has links)
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.
α-patches problem
discontinuous vorticity equations
2D Euler equations
Surface Quasi-Geostrophic equations
self-similar solutions
Pseudo-spectral methods
Nonequispaced fast fourier transform.
Computational Mathematics
Beräkningsmatematik

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