Two Models for 2D Deep Water Waves

Fluids

Sergey Dremov¹  Dmitry Kachulin¹  Alexander Dyachenko² 

[1] Department of Physics, Novosibirsk State University, 630090 Novosibirsk, Russia;Skolkovo Institute of Science and Technology, 121205 Moscow, Russia;

关键词: deep water waves;    Zakharov equation;    surface gravity waves;    Hamiltonian formalism;    standing waves;   

DOI  :  10.3390/fluids7060204

来源: DOAJ

【 摘 要 】

In this paper we propose two Hamiltonian models to describe two-dimensional deep water waves propagating on the surface of an ideal incompressible three-dimensional fluid. The idea is based on taking advantage of the Zakharov equation for one-dimensional waves which can be written in the form of so-called compact equations. We generalize these equations to the case of two-dimensional waves. As a test of our models, we perform numerical simulations of the dynamics of standing waves in a channel with smooth vertical walls. The results obtained in the proposed models are comparable, indicating that the models are similar to the original Zakharov equation.

【 授权许可】

Unknown