The curriculum is primarily defined by the exercises we have solved, both weekly exercises and obligatory problems:
- Exercises I
- Exercises II
- Exercises III
- Exercises IV
- Exercises V
- Exercises VI
- Exercises VII
- Exercises VIII
- Exercises IX
- Exercises X
- Exercises XI
- Exercises XII
Data for oblig 2: 1D.zip 2D.zip 3D.zip
Introduction to the course:
Presentation on extreme waves
Introduction to waves:
- Waves
Fourier transform, Fourier series, discrete Fourier transform (DFT)
-
Fourier
-
L?w & Winther (2001): Fourier analysis (from Samling av kompendier - Matematisk institutt)
- Chapter 7, section 7.1 and the problems of section 7.7, of Lindstr?m (2017): Mathematical Analysis
Stochastic wave theory:
- Stochastic
- 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:
Nonlinear wave theory:
- Nonlinear
Additional material:
- Draupner time series: 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.) - Dysthe, Krogstad & Müller (2008): Oceanic rogue waves. Annual Review of Fluid Mechanics 40, 287–310. (Read pages 287-291 for a nice review.)
- Trulsen, Nieto Borge, Gramstad, Aouf & Lefèvre (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.)
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Phillips (1958): The equilibrium range in the spectrum of wind-generated waves. J. Fluid Mech. 4, 426-434. (read entire paper)