Oblique wave scattering by submerged thin wall with gap in finite-depth water
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Cited by (26)
Scattering of water waves by thick rectangular barriers in presence of ice cover
2020, Journal of Ocean Engineering and ScienceCitation Excerpt :For a number of scattering problems involving thin vertical barriers, Porter and Evans [13] showed how appropriate basis functions in terms of Chebyshev polynomials can be chosen to produce extremely accurate numerical results with minimum effort. Banerjea et al. [1], Das et al. [4] utilized the multi-term Galerkin approximation technique successfully for a number of water-wave scattering problems involving two symmetric thin vertical barriers with gaps in finite-depth water. Due to structural symmetry of the rectangular trench, y axis is taken along the mid line of the trench.
Water wave scattering by multiple thin vertical barriers
2019, Applied Mathematics and ComputationCitation Excerpt :Later, Evans and Morris [6], Porter and Evans [7], Mandal and Das [8], Das et al. [9] employed Galerkin’s approximation technique followed by the Havelock’s expansion of water wave potential to obtain numerical estimates of reflection coefficient for oblique incidence of the wave train on a single vertical barrier in deep as well as finite depth water. Goswami [10–13], Smith [14], Losada et al. [15], Mandal and Dolai [16], Banerjea et al.[17] investigated the effect of a thin vertical barrier present in uniform finite depth water on a surface wave train and obtained numerical estimates for the reflection and transmission coefficients. It may be noted that explicit solution for scattering of surface waves by thin vertical barriers of any geometrical configuration in finite depth water is never possible.
New analytical solutions to water wave diffraction by vertical truncated cylinders
2019, International Journal of Naval Architecture and Ocean EngineeringCitation Excerpt :The multi-term Galerkin approximation will be used to model the cube-root singularity of fluid velocity near the edges of the truncated cylinders. In the past, the multi-term Galerkin approximation has been used to develop accurate analytical solutions for wave interaction with thin vertical barriers (Porter and Evans, 1995; Banerjea et al., 1996; Evans and Porter, 1997; Martins-Rivas and Mei, 2009; Chang et al., 2012), thick vertical barriers with rectangular sections (Mandal and Kanoria, 2000; Kanoria et al., 1999; Kanoria, 2001; Rumpa and Mandal, 2015) and structures of other shapes (Porter, 2002; Linton, 2009). It is noted that the new analytical solution is based on the linear potential theory, and cannot consider the nonlinearity of the free water surface, the wave breaking and other complex flow conditions.
Diffraction of surface water waves by an undulating bed topography in the presence of vertical barrier
2016, Ocean EngineeringCitation Excerpt :Mandal and Dolai (1994) and Porter and Evans (1995) derived the solution of the problem involving scattering of water waves by vertical barrier by using the Galerkin approximation method. Banerjea et al. (1996) utilized the one-term and multi-term Galerkin approximation to evaluate the reflection coefficient for the problem handled by Porter (1972). Mandal and Chakrabarti (1999) obtained the approximate solutions of a number of water wave scattering problems involving thin vertical barriers by utilizing the Galerkin's method.
Forces due to oblique waves on a submerged open moored cylinder in deep waters
2005, Ocean Engineering