Work

Wind-Driven Sea Spectra Resilience as a Statistical Attractor

Year: 2024

Type: article

Abstract: We have observed numerically the resilience phenomenon for ocean wind-driven waves, where the wave spectra return to their original self-similar form after a strong perturbation. This self-similar behavior is seen as the manifestation of a statistical attractor associated with generalized spectra of Kolmogorov–Zakharov. We have confirmed this interpretation through numerical simulations of random water wave field within the kinetic (Hasselmann) equation. This equation with specific source functions similar to those of conventional wave forecasting models exhibits families of exact self-similar solutions. These source functions minimize the “non-self-similar” background, allowing us to evaluate the “clean rates” of wave spectra resilience. We use the indices of the exact self-similar solutions as parameters for the attractors of numerical solutions in a two-dimensional phase space.

Source: Journal of Experimental and Theoretical Physics Letters

DOI: 10.1134/s0021364024603932

Authors: A. N. Pushkarev, V. V. Geogjaev, S. I. Badulin

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Skolkovo Institute of Science and Technology, Russian Academy of Sciences, Institute of Oceanology. PP Shirshov Russian Academy of Sciences

Language: English

Topic: Ocean Waves and Remote Sensing

Subfield: Oceanography

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: hybrid

Funder: Russian Science Foundation

Award: G2650322543