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
6. Exercises VI
7. Exercises VII
8. Exercises VIII
9. Exercises IX
10. Exercises X
11. Exercises XI
12. Suggested exercises

1. Oblig 1 due October 18.
2. Oblig 2 due November 22.

Data for oblig 2: 1D.zip 2D.zip 3D.zip New_Year_Wave.txt rec_ekofiskL_hz2_20180921_134000.hz2 case1.wav

Introduction to the course:

Presentation on extreme waves

Introduction to waves:

1. Waves

Fourier transform, Fourier series, discrete Fourier transform (DFT)

1. Fourier

2. Krogstad: Fouriertransformen - en innf?ring

3. L?w & Winther (2001): Fourier analysis   (from Samling av kompendier - Matematisk institutt)

4. Chapter 7, section 7.1 and the problems of section 7.7, of Lindstr?m (2017): Mathematical Analysis

Stochastic wave theory:

1. Stochastic (updated December 5)
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)
   Look at comments and corrections to LINEAR WAVE THEORY Part B (updated 26/10-2017).

Spectrum and Gaussian sea:

1. Gaussian waves
2. X-band radar

Nonlinear wave theory:

1. Nonlinear

Additional material:

1. Draupner time series (thanks to Statoil): New_Year_Wave.txt
   - Sverre Haver (2004): Freak wave event at Draupner jacket, January 1 1995.
   - Jean-Raymond Bidlot et al. (2016): What conditions led to the Draupner freak wave? ECMWF Newsletter 148, 37-40.  (Read pages 37-40 for some recent results.)
2. Ekofisk 20 min 2Hz laser time series from 21. September 2018 at 13:40-14:00 during the Knud storm (thanks to Mika Malila): rec_ekofiskL_hz2_20180921_134000.hz2
3. Turbulent sound time series from our laboratory (thanks to Reyna Guadalupe Ramirez de la Torre): case1.wav
4. Dysthe, Krogstad & M¨¹ller (2008): Oceanic rogue waves. Annual Review of Fluid Mechanics 40, 287¨C310.  (Read pages 287-291 for a nice review.)
5. Trulsen, Nieto Borge, Gramstad, Aouf & Lef¨¨vre (2015): Crossing sea state and rogue wave probability during the Prestige accident.   J. Geophys. Res. 120, 7113-7136.  (Read the Introduction and the Conclusions for an impression of what we should be able to understand at the end of the course.)
6. Phillips (1958): The equilibrium range in the spectrum of wind-generated waves. J. Fluid Mech. 4, 426-434.  (read entire paper)