Institut für Ostseeforschung Warnemünde
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Hydrodynamics (Physics BSc)

This course contains an introduction to modern fluid mechanics, based on the first principles of classical mechanics and thermodynamics (conservation of mass, momentum, energy, etc.). There are no special prerequisites except some basic knowledge in calculus, linear algebra, and simple differential equations. "Hydrodynamics" is part of the Physics BSc program but is equally suited and understandable for students from mathematics and engineering. This lecture should be particularly intersting for students planning to specialize in the Physics of the Atmosphere and Ocean in the Physics MSc program. The focus of the lecture is a careful and mathematically sound derivation of the equations describing the motion of Newtonian fluids (Navier-Stokes Equations), and the discussion of simplifications leading to the famous Euler and Bernoulli equations. Special solutions of these equations will be discussed. The lecture is accompanied by bi-weekly excercise sessions with hands-on training and practical examples.

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Class information

Class notes

Assignment 01 (due 25 October)

Assignment 02 (due 08 November)

Assignment 03 (due 22 November)

Marine Turbulence (Physics MSc)

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 exercise sessions, allowing students to work with real oceanic data sets, and to deepen their understanding of the material treated during the lectures. We will also conduct a laboratory experiment, in which turbulence and mixing in a dense bottom gravity current are analyzed.

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class information

class notes

 

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).

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Notes on spectral analysis

MATLAB tools for spectral analysis and filtering