A dissipative Nonlinear Schr\"{o}dinger model for wave propagation in the marginal ice zone
Atmospheric and Oceanic Physics
2022-06-03 v2
Abstract
Sea ice attenuates waves propagating from the open ocean. Here we model the evolution of energetic unidirectional random waves in the marginal ice zone with a nonlinear Schr\"{o}dinger equation, with a frequency dependent dissipative term consistent with current model paradigms and recent field observations. The preferential dissipation of high frequency components results in a concurrent downshift of the spectral peak that leads to a less than exponential energy decay, but at a lower rate compared to a corresponding linear model. Attenuation and downshift contrast nonlinearity, and nonlinear wave statistics at the edge tend to Gaussianity farther into the marginal ice zone.
Keywords
Cite
@article{arxiv.2203.00388,
title = {A dissipative Nonlinear Schr\"{o}dinger model for wave propagation in the marginal ice zone},
author = {Alberto Alberello and Emilian Parau},
journal= {arXiv preprint arXiv:2203.00388},
year = {2022}
}