Account of Occasional Wave Breaking in Numerical Simulations of Irregular Water Waves in the Focus of the Rogue Wave Problem

Autor:	Anna Kokorina, Alexey Slunyaev
Rok vydání:	2019
Předmět:	Physics Partial differential equation Applied Mathematics Attenuation media_common.quotation_subject Breaking wave Mechanics Asymmetry Euler equations Computational Mathematics symbols.namesake Modeling and Simulation Regularization (physics) symbols Rogue wave Spectral method Analysis media_common
Zdroj:	Water Waves. 2:243-262
ISSN:	2523-3688 2523-367X
Popis:	The issue of accounting of the wave breaking phenomenon in direct numerical simulations of oceanic waves is discussed. It is emphasized that this problem is crucial for the deterministic description of waves, and also for the dynamical calculation of extreme wave statistical characteristics, such as rogue wave height probability, asymmetry, etc. The conditions for accurate simulations of irregular steep waves within the High Order Spectral Method for the potential Euler equations are identified. Such non-dissipative simulations are considered as the reference when comparing with the simulations of occasionally breaking waves which use two kinds of wave breaking regularization. It is shown that the perturbations caused by the wave breaking attenuation may be noticeable within 20 min of the performed simulation of the wave evolution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::79818e8755ebbee9b1506fb9bb0d1b09 https://doi.org/10.1007/s42286-019-00014-9 Zobrazit plný text záznamu Full text from SpringerLink