On nonlinearity implications and wind forcing in Hasselmann equation

TL;DR

This paper reviews techniques for deriving wind input terms in the Hasselmann equation, demonstrating that recent methods combined with high-frequency damping can replicate experimental results and exploring the effects of nonlinearity through numerical simulations.

Contribution

It introduces a combined approach using the ZRP technique and high-frequency damping to improve modeling of wind input in the Hasselmann equation, aligning simulations with experimental data.

Findings

Recent methods reproduce multiple fetch-limited experiments

High-frequency damping enhances model accuracy

Numerical simulations reveal nonlinearity effects

Abstract

We discuss several experimental and theoretical techniques historically used for Hasselmann equation wind input terms derivation. We show that recently developed ZRP technique in conjunction with high-frequency damping without spectral peak dissipation allows to reproduce more than a dozen of fetch-limited field experiments. Numerical simulation of the same Cauchy problem for different wind input terms has been performed to discuss nonlinearity implications as well as correspondence to theoretical predictions.