Structure-coupled gravity waves past a vertical porous barrier

• Published in: Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment
• Main Authors: Manam, SR, Kaligatla, RB
• Format: Article in Journal/Newspaper
• Language: English
• Published: SAGE Publications 2012
• Subjects: Mechanical Engineering; Ocean Engineering; Ice Sheet
• Online Access: http://dx.doi.org/10.1177/1475090212445671; http://journals.sagepub.com/doi/pdf/10.1177/1475090212445671; http://journals.sagepub.com/doi/full-xml/10.1177/1475090212445671

An explicit solution is provided for the scattering of flexural and membrane-coupled gravity waves in deep water against a complete vertical porous barrier by employing certain mode-coupling relations. The floating structure is considered to be attached with the vertical porous barrier in three different ways, giving rise to edge conditions: (i) free edge, (ii) simply supported edge, (iii) clamped or built-in edge in the case of a floating ice-sheet and to fixed or clamped edge condition in the case of a floating membrane. The effect of the porous barrier on these structure-coupled gravity waves is discussed numerically by plotting reflection coefficient against a wave parameter. Also, important physical quantities such as strain in the ice-sheet, shear force in the ice-sheet and ice-sheet deflections are computed and plotted against relevant parameters. The effect of compressive force on flexural gravity wave scattering is also included in the numerical study.