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Article Two Models for 2D Deep Water Waves. / Dremov, Sergey; Kachulin, Dmitry; Dyachenko, Alexander.

In: Fluids, Vol. 7, No. 6, 204, 06.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Dremov, S, Kachulin, D & Dyachenko, A 2022, 'Article Two Models for 2D Deep Water Waves', Fluids, vol. 7, no. 6, 204. https://doi.org/10.3390/fluids7060204

APA

Dremov, S., Kachulin, D., & Dyachenko, A. (2022). Article Two Models for 2D Deep Water Waves. Fluids, 7(6), [204]. https://doi.org/10.3390/fluids7060204

Vancouver

Dremov S, Kachulin D, Dyachenko A. Article Two Models for 2D Deep Water Waves. Fluids. 2022 Jun;7(6):204. doi: 10.3390/fluids7060204

Author

Dremov, Sergey ; Kachulin, Dmitry ; Dyachenko, Alexander. / Article Two Models for 2D Deep Water Waves. In: Fluids. 2022 ; Vol. 7, No. 6.

BibTeX

@article{d17fad7429ed4872946da6fce582616d,
title = "Article Two Models for 2D Deep Water Waves",
abstract = "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.",
keywords = "deep water waves, Hamiltonian formalism, standing waves, surface gravity waves, Zakharov equation",
author = "Sergey Dremov and Dmitry Kachulin and Alexander Dyachenko",
note = "Funding Information: Funding: Sections 2 and 3, excluding Sections 2.2 and 3.2 of this research, were funded by the Russian Science Foundation Grant No. 19-72-30028, whilst Sections 2.2 and 3.2 were funded by the Russian Foundation for Basic Research Grant No. 20-31-90093. Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",
year = "2022",
month = jun,
doi = "10.3390/fluids7060204",
language = "English",
volume = "7",
journal = "Fluids",
issn = "2311-5521",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "6",

}

RIS

TY - JOUR

T1 - Article Two Models for 2D Deep Water Waves

AU - Dremov, Sergey

AU - Kachulin, Dmitry

AU - Dyachenko, Alexander

N1 - Funding Information: Funding: Sections 2 and 3, excluding Sections 2.2 and 3.2 of this research, were funded by the Russian Science Foundation Grant No. 19-72-30028, whilst Sections 2.2 and 3.2 were funded by the Russian Foundation for Basic Research Grant No. 20-31-90093. Publisher Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

KW - deep water waves

KW - Hamiltonian formalism

KW - standing waves

KW - surface gravity waves

KW - Zakharov equation

UR - http://www.scopus.com/inward/record.url?scp=85132769026&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/fc19b813-aae3-3c88-9d2c-fba7ee3632d3/

U2 - 10.3390/fluids7060204

DO - 10.3390/fluids7060204

M3 - Article

AN - SCOPUS:85132769026

VL - 7

JO - Fluids

JF - Fluids

SN - 2311-5521

IS - 6

M1 - 204

ER -

ID: 36542305