The interaction of flexural-gravity waves with a submerged rigid disc

被引：10

作者：

Kundu, Souvik ^{[1
]}

Datta, Ranadev ^{[2
]}

Gayen, R. ^{[1
]}

Islam, Najnin ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

[2] Indian Inst Technol, Dept Ocean Engn & Naval Architecture, Kharagpur 721302, W Bengal, India

来源：

APPLIED OCEAN RESEARCH | 2019年 / 92卷

关键词：

Submerged disc; Flexural-gravity waves; Hypersingular integral equation; Radiation-diffraction; WATER-WAVES; SURFACE-WAVES; CIRCULAR-CYLINDER; ELASTIC PLATE; POROUS PLATE; SCATTERING; RADIATION; DIFFRACTION;

D O I：

10.1016/j.apor.2019.101912

中图分类号：

P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

In this paper, the interaction of flexural-gravity waves with a submerged disc is studied. The problem is solved by transforming it into a two-dimensional hypersingular integral equation. Initially, wave scattering problem is studied followed by radiation and radiation-diffraction problems. The effects of the rigidity of the ice cover and submergence depth of the rigid disc are investigated for all the three cases. It is observed that the submergence of a rigid disc causes significant changes in the scattered as well as radiated wave profiles. However, the presence of the rigid disc creates high-frequency resonance. The present study appears to be useful for understanding the nature of the flow physics in presence of a rigid disc beneath the ice-covered surface.

引用

页数：12

共 50 条

[1] Radiation and scattering of flexural-gravity waves by a submerged porous disc
Arijit Das
Soumen De
B. N. Mandal
[J]. Meccanica, 2022, 57 : 1557 - 1573
[2] Radiation and scattering of flexural-gravity waves by a submerged porous disc
Das, Arijit
De, Soumen
Mandal, B. N.
[J]. MECCANICA, 2022, 57 (7) : 1557 - 1573
[3] The interaction of flexural-gravity waves with periodic geometries
Bennetts, L. G.
Biggs, N. R. T.
Porter, D.
[J]. WAVE MOTION, 2009, 46 (01) : 57 - 73
[4] Dromions of flexural-gravity waves
Alam, Mohammad-Reza
[J]. JOURNAL OF FLUID MECHANICS, 2013, 719 : 1 - 13
[5] Nonlinear flexural-gravity waves due to a body submerged in the uniform stream
Semenov, Y. A.
[J]. PHYSICS OF FLUIDS, 2021, 33 (05)
[6] Interaction of flexural-gravity waves in ice cover with vertical walls
Korobkin, A. A.
Malenica, S.
Khabakhpasheva, T.
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 376 (2129):
[7] Three Dimensional Flexural-Gravity Waves
Milewski, P. A.
Wang, Z.
[J]. STUDIES IN APPLIED MATHEMATICS, 2013, 131 (02) : 135 - 148
[8] Interaction of surface and flexural-gravity waves in ice cover with a vertical wall
Tkacheva, L. A.
[J]. JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2013, 54 (04) : 651 - 661
[9] Interaction of surface and flexural-gravity waves in ice cover with a vertical wall
L. A. Tkacheva
[J]. Journal of Applied Mechanics and Technical Physics, 2013, 54 : 651 - 661
[10] Frequencies and Profiles of Standing Flexural-Gravity Waves
Kalinichenko, V. A.
[J]. FLUID DYNAMICS, 2023, 58 (05) : 927 - 933

← 1 2 3 4 5 →