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2023 | OriginalPaper | Chapter

Propagation of Water Waves in the Presence of a Horizontal Plate Submerged in a Two-Layer Fluid

Authors : S. Naskar, N. Islam, R. Gayen, R. Datta

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

The interaction of surface and interface waves with a thin horizontal plate submerged in the lower layer of a two-layer fluid is studied under linearised theory of water waves. The associated boundary value problem is solved here by Fourier integral transform by reducing it to an integral equation involving the potential difference function across the plate. Application of multi-term Galerkin method to the solution of the integral equation leads to a simple, rapidly convergent numerical scheme and suitable expressions for different hydrodynamic quantities of interest. Numerical results for the reflection coefficients and the hydrodynamic force on the plate are presented to study the effect of different physical parameters. The present method is verified by recovering the published numerical results for a limiting case and through an energy balance relation.

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previous chapter Joint Decisions on Imperfect Production Process and Carbon Emission Reduction Under Carbon Regulations
next chapter Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation Using Spectral Element Method
Literature
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Medina-Rodríguez, A., Silva, R.: Oblique water-wave scattering by two thick submerged-horizontal plates in a two-layer fluid. J. Waterw. Port Coast. Ocean Eng. 144, 04018003 (2018)
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Metadata
Title
Propagation of Water Waves in the Presence of a Horizontal Plate Submerged in a Two-Layer Fluid
Authors
S. Naskar
N. Islam
R. Gayen
R. Datta
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_30

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