Article Two Models for 2D Deep Water Waves

Sergey Dremov, Dmitry Kachulin, Alexander Dyachenko

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

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.

Язык оригиналаанглийский
Номер статьи204
ЖурналFluids
Том7
Номер выпуска6
DOI
СостояниеОпубликовано - июн 2022

Предметные области OECD FOS+WOS

  • 1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

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