Flexural-Gravity Wave Scattering by a Circular-Arc-Shaped Porous Plate

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• 作者：Arpita Mondal ; Srikumar Panda and R. Gayen
• 刊名：Studies in Applied Mathematics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：138
• 期：1
• 页码：77-102
• 全文大小：745K
• ISSN：1467-9590

文摘

The interaction of flexural-gravity waves with a thin circular-arc-shaped permeable plate submerged beneath the ice-covered surface of water with uniform finite depth is considered under the assumption of linear theory. The problem is reduced to a second kind hypersingular integral equation for the potential difference across the plate which is solved approximately by an expansion–collocation method. Utilizing the solution, the reflection and the transmission coefficients and the hydrodynamic forces are evaluated numerically. The focus of the paper is to illustrate the effect of a porous curved plate submerged in finite depth water with an ice-cover on the normally incident waves. Numerical results for a circular-arc-shaped plate for different configurations are derived and represented graphically. Also, by choosing an appropriate set of parameters, the known results for a circular-arc-shaped rigid plate submerged in deep water and a semicircular porous plate submerged in finite depth water with a free surface are recovered as special cases.