The Principle of “Limit Absorption” for Water Wave Diffraction

1990 ◽  
pp. 569-575
Author(s):  
S. Alliney
Keyword(s):  
Wave Diffraction ◽  
Water Wave

Water Wave Diffraction and Radiation by a Submerged Horizontal Circular Cylinder in Front a Vertical Wall

2020 ◽  
Author(s):  
Ai-jun Li ◽  
Yong Liu
Keyword(s):  
Circular Cylinder ◽  
Analytical Solutions ◽  
Wave Diffraction ◽  
Water Wave ◽  
Vertical Wall ◽  
Horizontal Cylinder ◽  
Linear Potential ◽  
Polar Coordinate ◽  
Horizontal Circular Cylinder ◽  
Unbounded Fluid

Abstract This article studies water wave diffraction and radiation by a submerged horizontal circular cylinder in front of a vertical wall under the assumption of linear potential flow theory. Based on the image principle, the hydrodynamic problem of a horizontal cylinder in front of a vertical wall is transformed into an equivalent problem involving symmetrical cylinders in a horizontally unbounded fluid domain. Then, analytical solutions for the present physical problem are developed using the method of multipole expansions combined with the shift of polar coordinate systems. The wave exciting forces on the cylinder as well as the added mass and radiation damping due to the cylinder oscillation are calculated. The analytical solutions converge very rapidly with the increasing truncated number of multipoles. Calculation examples are presented to examine the effects of different parameters on the hydrodynamic quantities of the cylinder. Results indicate that the hydrodynamic quantities of the cylinder in front of a vertical wall greatly differ from those in a horizontally unbounded fluid domain.

A causal transient water wave diffraction formulation

2000 ◽  
Vol 22 (5) ◽  
pp. 267-280 ◽  
Author(s):  
C.J. Damaren
Keyword(s):  
Wave Diffraction ◽  
Water Wave

Wave diffraction by a long array of cylinders

1997 ◽  
Vol 339 ◽  
pp. 309-330 ◽  
Author(s):  
H. D. MANIAR ◽  
J. N. NEWMAN
Keyword(s):  
Boundary Conditions ◽  
Wave Diffraction ◽  
Water Wave ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Circular Cylinders ◽  
Trapped Modes ◽  
Homogeneous Solutions ◽  
Resonant Modes ◽  
Trapped Wave

Water wave diffraction by an array of bottom-mounted circular cylinders is analysed under the assumptions of linear theory. The cylinders are identical, and equally spaced along the array. When the number of cylinders is large, but finite, near-resonant modes occur between adjacent cylinders at critical wavenumbers, and cause unusually large loads on each element of the array. These modes are associated with the existence of homogeneous solutions for the diffraction by an array which extends to infinity in both directions. This phenomenon is related to the existence of trapped waves in a channel. A second trapped wave is established, corresponding to Dirichlet boundary conditions on the channel walls, as well as a sequence of higher wavenumbers where ‘nearly trapped’ modes exist.

Water-wave diffraction and radiation by multiple three-dimensional bodies over a mild-slope bottom

2017 ◽  
Vol 143 ◽  
pp. 163-176 ◽  
Author(s):  
Pau Mercadé Ruiz ◽  
Francesco Ferri ◽  
Jens Peter Kofoed
Keyword(s):  
Wave Diffraction ◽  
Water Wave ◽  
Three Dimensional ◽  
Slope Bottom

Water wave diffraction and radiation by a submerged sphere in front of a vertical wall

2021 ◽  
Vol 114 ◽  
pp. 102818
Author(s):  
Ai-jun Li ◽  
Xiao-lei Sun ◽  
Yong Liu
Keyword(s):  
Wave Diffraction ◽  
Water Wave ◽  
Vertical Wall ◽  
Submerged Sphere
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