A dissipative Nonlinear Schr\'{o}dinger model for wave propagation in the marginal ice zone

Autor: Alberello, Alberto, Parau, Emilian
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/5.0089866
Popis: 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.
Databáze: arXiv