Understanding Rogue Waves: GPU Computing and Bred Vector Analysis

B. Balachandran, C. Chabalko, and E. Kalnay
10:30 am March 10 in Room 2155

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.