Options
Inducing predefined nonlinear rogue waves on basis of breather solutions
Citation Link: https://doi.org/10.15480/882.2224
Publikationstyp
Doctoral Thesis
Date Issued
2019
Sprache
English
Author(s)
Advisor
Referee
Mackens, Wolfgang
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2019-01-18
Institut
TORE-DOI
TORE-URI
The Peregrine Breather, an analytical solution of the Nonlinear Schroedinger Equation, is modified to induce locally and temporally accurate, predefined extreme wave events in an arbitrary directed sea state. To this end, a parameter study of the distortion term of the unstable Peregrine modulation is performed to enforce form, height, and steepness of the rogue wave. In addition, the phase modulation is identified to be the crucial perturbation for the nonlinear Breather dynamic. With this knowledge, the inducing of a predefined rogue wave in non-uniform carrier waves and even in irregular, directed sea states is presented, its limits determined, and the Breather dynamics analyzed by spectral and phase evolution analysis in time and space. The results are compared to the dynamics of real occurred extreme waves and a reverse engineering as well as a forecast model for nonlinear real rogue waves are depicted briefly.
Subjects
rogue wave
nonlinear Schroedinger equation
Peregrine Breather
nonlinear wave equation
freak wave
extreme wave
water wave
nonlinear waves
breather solutions
forecast model
reverse engineering
DDC Class
600: Technik