Oberseminar Numerische Mathematik / Scientific Computing
Oliver Bühler
Courant Institute of Mathematical Sciences, New York University
Large deviation theory and extreme waves
Abstract:
Large deviation theory is applied to surface and internal gravity waves in the ocean with the aim to discern the shape and probability of very large waves. In the case of surface waves, such large waves are known as `rogue waves' and they are a shipping hazard. In the case of internal waves, such large waves can break and thereby produce pockets of three-dimensional turbulence and mixing, which is crucial for the long-term evolution of the ocean. A direct computational approach is impossible due to the scale separation between the small-scale waves and the large-scale ocean circulation, which prompts a statistical approach. In this talk results are presented for the simplest statistical model, in which the wave field is treated as a Gaussian random field constrained by the observed energy spectra.
| Datum: | 12.11.2007 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |