Fourier Series and Spectral Analysis
Here, you find some supplementary material describing the basic spectral techniques required in turbulence theory and other applications in geophysics.These notes contain a brief introduction on Fourier series and transforms, spectra and co-spectra, filtering, and discrete Fourier transforms (DFT). Some MATLAB routines are provided were these things can be conveniently explored (using the same notation as in the notes).
Marine Turbulence
Building up on the basic material covered in "Hydrodynamics", this class provides an introduction to turbulence and mixing from an oceanographer's point of view. An overview is given over the basic approaches, including deterministic and statistical methods, and the spectral theory of homogenous turbulence. Both modeling and observational techniques will be discussed. This class is accompanied by a series of excersices allowing students to work with real oceanic data sets, and to deepen their understanding of the material treated during the lectures.
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Assignment 3 (due 04 June) (supplementary data: u.txt v.txt w.txt)