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A Fourier-Series representation of periodic orbits in the Lid-Driven Cavity

De Boni Yamashiro, Mateo Kazuo (2023) A Fourier-Series representation of periodic orbits in the Lid-Driven Cavity. Bachelor's Thesis, Applied Mathematics.

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Abstract

The Lid-Driven Cavity is a popular benchmark for fluid simulation programs and computers. It has been observed that, after a critical Reynolds Number, the solutions showcase periodic behavior. In this paper we attempt to take advantage of this periodicity to find a Fourier-Series representation of the solutions, which could lead to better computational efficiency. We take a Galerkin approach to the time discretization and propose some solution algorithms.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Wubs, F.W. and Martynchuk, N.
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 13 Jul 2023 14:21
Last Modified: 13 Jul 2023 14:21
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/30397

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