A wavelet-based grid-switching method for energy cascades in Burgers' equation

Mulder, T.E. (2014) A wavelet-based grid-switching method for energy cascades in Burgers' equation. Master's Thesis / Essay, Mathematics.

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Abstract

In order to reduce the computational complexity of the simulation of turbulent flow, one can try to decrease the size of the model by grid coarsening. In this study, we use wavelet decomposition techniques to identify and model the smallest details in the numerical time-integration of Burgers' equation. Complex velocity profiles containing energy cascades are generated with initial conditions of Brownian type. Using local transformations with basis functions from the Haar wavelet family, it turns out that a reliable elimination of the smallest variations can be made. We show how the coarse wavelet-based elimination scheme preserves several favorable properties of the underlying discretization. As an extension, we apply the procedure recursively, obtaining even coarser solutions.

Item Type:	Thesis (Master's Thesis / Essay)
Degree programme:	Mathematics
Thesis type:	Master's Thesis / Essay
Language:	English
Date Deposited:	15 Feb 2018 07:56
Last Modified:	15 Feb 2018 07:56
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/11695

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