Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet
We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the nonlinear Schrödinger equation and investigate the conditions whe...
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craippubl:10.1063/5.0100179 2024-06-23T07:53:46+00:00 Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet Slunyaev, A. V. Stepanyants, Y. A. Russian Science Foundation Ministry of Science and Higher Education of the Russian Federation Council on grants of the President of the Russian Federation 2022 http://dx.doi.org/10.1063/5.0100179 https://pubs.aip.org/aip/pof/article-pdf/doi/10.1063/5.0100179/16646536/077121_1_online.pdf en eng AIP Publishing Physics of Fluids volume 34, issue 7 ISSN 1070-6631 1089-7666 journal-article 2022 craippubl https://doi.org/10.1063/5.0100179 2024-06-13T04:04:38Z We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the nonlinear Schrödinger equation and investigate the conditions when a quasi-sinusoidal wave becomes unstable with respect to amplitude modulation. The domains of instability are presented in the planes of governing physical parameters; the shapes of the domains exhibit fairly complicated patterns. It is shown that, under certain conditions, the modulational instability can develop from shorter groups and for fewer wave periods than in the situation of deep-water gravity waves on a free water surface. The modulational instability can occur at the conditions shallower than that known for the free water surface kh = 1.363, where k is the wavenumber and h is the water depth. Estimates of parameters of modulated waves are given for the typical physical conditions of an ice-covered sea. Article in Journal/Newspaper Ice Sheet AIP Publishing Physics of Fluids 34 7 077121 |
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English |
description |
We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the nonlinear Schrödinger equation and investigate the conditions when a quasi-sinusoidal wave becomes unstable with respect to amplitude modulation. The domains of instability are presented in the planes of governing physical parameters; the shapes of the domains exhibit fairly complicated patterns. It is shown that, under certain conditions, the modulational instability can develop from shorter groups and for fewer wave periods than in the situation of deep-water gravity waves on a free water surface. The modulational instability can occur at the conditions shallower than that known for the free water surface kh = 1.363, where k is the wavenumber and h is the water depth. Estimates of parameters of modulated waves are given for the typical physical conditions of an ice-covered sea. |
author2 |
Russian Science Foundation Ministry of Science and Higher Education of the Russian Federation Council on grants of the President of the Russian Federation |
format |
Article in Journal/Newspaper |
author |
Slunyaev, A. V. Stepanyants, Y. A. |
spellingShingle |
Slunyaev, A. V. Stepanyants, Y. A. Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
author_facet |
Slunyaev, A. V. Stepanyants, Y. A. |
author_sort |
Slunyaev, A. V. |
title |
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
title_short |
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
title_full |
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
title_fullStr |
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
title_full_unstemmed |
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
title_sort |
modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet |
publisher |
AIP Publishing |
publishDate |
2022 |
url |
http://dx.doi.org/10.1063/5.0100179 https://pubs.aip.org/aip/pof/article-pdf/doi/10.1063/5.0100179/16646536/077121_1_online.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Physics of Fluids volume 34, issue 7 ISSN 1070-6631 1089-7666 |
op_doi |
https://doi.org/10.1063/5.0100179 |
container_title |
Physics of Fluids |
container_volume |
34 |
container_issue |
7 |
container_start_page |
077121 |
_version_ |
1802645591955603456 |