On water-wave propagation in a long channel with corrugated boundaries

Eugene S. Benilov; M. I. Yaremchuk

doi:10.1016/0165-2125(91)90018-J

On water-wave propagation in a long channel with corrugated boundaries

Eugene S. Benilov
, M. I. Yaremchuk

RAS - P.P. Shirshov Institute of Oceanology

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

Abstract

The scattering of surface water-waves in a channel with corrugated bottom and walls is investigated. We study two cases: (1) ordinary wave reflection; (2) scattering into specific "mode" waves, i.e. into oscillations propagating along the channel's axis and having a standing-wave structure in its cross-section. An analytical expression for the damping-due-to-scattering coefficient is obtained. The second type of scattering proved to be more effective.

Original language	English
Pages (from-to)	115-121
Number of pages	7
Journal	Wave Motion
Volume	13
Issue number	2
DOIs	https://doi.org/10.1016/0165-2125(91)90018-J
Publication status	Published - Apr 1991
Externally published	Yes

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title = "On water-wave propagation in a long channel with corrugated boundaries",

abstract = "The scattering of surface water-waves in a channel with corrugated bottom and walls is investigated. We study two cases: (1) ordinary wave reflection; (2) scattering into specific {"}mode{"} waves, i.e. into oscillations propagating along the channel's axis and having a standing-wave structure in its cross-section. An analytical expression for the damping-due-to-scattering coefficient is obtained. The second type of scattering proved to be more effective.",

author = "Benilov, \{Eugene S.\} and Yaremchuk, \{M. I.\}",

year = "1991",

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doi = "10.1016/0165-2125(91)90018-J",

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T1 - On water-wave propagation in a long channel with corrugated boundaries

AU - Benilov, Eugene S.

AU - Yaremchuk, M. I.

PY - 1991/4

Y1 - 1991/4

N2 - The scattering of surface water-waves in a channel with corrugated bottom and walls is investigated. We study two cases: (1) ordinary wave reflection; (2) scattering into specific "mode" waves, i.e. into oscillations propagating along the channel's axis and having a standing-wave structure in its cross-section. An analytical expression for the damping-due-to-scattering coefficient is obtained. The second type of scattering proved to be more effective.

AB - The scattering of surface water-waves in a channel with corrugated bottom and walls is investigated. We study two cases: (1) ordinary wave reflection; (2) scattering into specific "mode" waves, i.e. into oscillations propagating along the channel's axis and having a standing-wave structure in its cross-section. An analytical expression for the damping-due-to-scattering coefficient is obtained. The second type of scattering proved to be more effective.

UR - https://www.scopus.com/pages/publications/0026137803

U2 - 10.1016/0165-2125(91)90018-J

DO - 10.1016/0165-2125(91)90018-J

M3 - Article

AN - SCOPUS:0026137803

SN - 0165-2125

VL - 13

SP - 115

EP - 121

JO - Wave Motion

JF - Wave Motion

IS - 2

ER -

On water-wave propagation in a long channel with corrugated boundaries

Abstract

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