2015/02/09 by Ritabrata Dutta, R Dutta, Dutta, R
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Breaking wave #Coastal and Marine Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Function (biology) #Geology #Mathematical analysis #Mathematics #Mechanics #Ocean Waves and Remote Sensing #Oceanography #Optics #Physics #Potential vorticity #Seismology #Surf zone #Tropical and Extratropical Cyclones Research #Vortex #Vorticity #Wave propagation #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1502.02617
arXiv admin note: substantial text overlap with arXiv:physics/0503073
arxiv created 2015/02/09 · openalex publication_date 2015/02/09 · arxiv updated 2015/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this report, Mathematical model for generalized nonlinear three dimensional wave breaking equations was de- veloped analytically using fully nonlinear extended Boussinesq equations to encompass rotational dynamics in wave breaking zone. The three dimensional equations for vorticity distributions are developed from Reynold based stress equations. Vorticity transport equations are also developed for wave breaking zone. This equations are basic model tools for numerical simulation of surf zone to explain wave breaking phenomena. The model reproduces most of the dynamics in the surf zone. Non linearity for wave height predictions is also shown close to the breaking both in shoaling as well as surf zone. Keyword Wave breaking, Boussinesq equation, shallow water, surf zone. PACS : 47.32-y