Curriculum

The curriculum is primarily defined by the exercises we have solved, both weekly exercises and obligatory problems:

1. Exercises I
2. Exercises II
3. Exercises III
4. Exercises IV
5. Exercises V - hand in
6. Exercises VI
7. Exercises VII
8. Exercises VIII
9. Exercises IX
10. Exercise of stochastic linear waves - hand in remaining part not done in class electronically to JCNB
11. Exercises X
12. Exercises XI
13. Exercises XII
14. Exercises XIII
15. Exercises XIV
16. Exercises XV
17. Exercises XVI
18. Exercises XVII

Fourier transform (we will probably not cover all the material in these compendia):

1. Harald E. Krogstad: Fouriertransformen - en innf?ring   (from Harald Krogstad sin hjemmeside)
2. Erik L?w & Ragnar Winther: Fourier analysis   (from Matematisk insitutt sin kompediesamling)

Stochastic wave theory:

1. Reprint of chapter 2 in
   Waves in Geophysical Fluids Tsunamis, Rogue Waves, Internal Waves and Internal Tides Series: CISM International Centre for Mechanical Sciences, Number 489 (eds. John Grue, Karsten Trulsen), pages 49-106
    
2. Chapters 1-4 in LINEAR WAVE THEORY Part B of
   LINEAR WAVE THEORY by Harald E. Krogstad and ?ivind A. Arntsen
   (you may prefer to use this repaired pdf instead of the original above, check that \(\sum\) and \(\pi\) come out correctly)
   There are some typos in this document, look at some comments and corrections to a couple of the exercises.

Spectrum and Gaussian sea:

1. Jos¨¦ Carlos Nieto Borge: Power Spectral Density
2. Jos¨¦ Carlos Nieto Borge: The Gaussian Model of Wind-Generated Waves

Nonlinear wave theory:

1. Free and forced oscillations
2. Nonlinear water surface waves: Governing equations, potential theory and nonresonant waves
3. Nonlinear resonance conditions
4. Hilbert transform

Additional material:

1. Draupner time series: New_Year_Wave.txt  -  Sverre Haver: Freak wave event at Draupner jacket, January 1 1995.
2. Bay of Biscay time series: Bay_Of_Biscay.txt  -  The network of buoys of the Spanish Port Authority (in Spanish).  Puertos 150, 9-10. (2009)
3. Simulated 3D wave data: record3d_1.mat record3d_2.mat record3d_3.mat
4. Nieto Borge, Reichert, Hessner (2013): Detection of spatio-temporal wave grouping properties by using temporal sequences of X-band radar images of the sea surface.

   Ocean Modelling 61, 21¨C37.
5. Phillips (1958): The equilibrium range in the spectrum of wind-generated waves. J. Fluid Mech. 4, 426-434.  (read entire paper)
6. Dysthe, Krogstad & M¨¹ller (2008): Oceanic rogue waves. Annual Review of Fluid Mechanics 40, 287¨C310.  (read pages 287-291 for a nice review)