Understanding Rogue Waves: GPU Computing and Bred Vector Analysis
B. Balachandran, C. Chabalko, and E. Kalnay
UMD
10:30 am March 10 in Room 2155
Abstract: Rogue waves, also referred to as extreme waves
and freak waves, occur quite frequently in open seas. The
formation of these waves can be influenced by a variety of interactions
and phenomena, including wind interactions, focusing, and interactions
with sea floor features. Efforts underway at the University of
Maryland to further our understanding of rogue waves will be covered in
this presentation. Studies conducted with the nonlinear
Schrödinger equation will be discussed, and an eigenvalue map based
predictor-corrector procedure developed by team members will be
presented. The features of the predictive map will be explored
and the influences of certain parameter variations will be
examined. The solutions are rescaled to match the length scales
of waves generated in a water tank. As a representative example,
the solution framework is validated by using the Peregrine solution.
Based on the information provided by the map and the details of
physical scaling, it is believed that the framework presented here
could serve as a basis for experimental investigations of a variety of
rogue waves. The use of bred vectors to predict fluctuations
associated with extreme waves will be presented. The results
suggest that bred vectors may be used to predict energy localization
associated with rogue waves.