Discussion of the Problems of Nonlinear Water Wave Diffraction around Porous Vertical Circular Cylinder

2007 ◽  
pp. 510-513
Author(s):  
H. Huang ◽  
Q. Y. Zhu ◽  
J. Fu
Keyword(s):  
Circular Cylinder ◽  
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.

Hydrodynamic Interactions of the Truncated Porous Vertical Circular Cylinder With Water Waves

2018 ◽  
Author(s):  
Charaf Ouled Housseine ◽  
Sime Malenica ◽  
Guillaume De Hauteclocque ◽  
Xiao-Bo Chen
Keyword(s):  
Circular Cylinder ◽  
Porous Body ◽  
Wave Diffraction ◽  
Water Waves ◽  
Expansion Method ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Diffraction Radiation ◽  
Linear Potential ◽  
Eigenfunction Expansion Method

Wave diffraction-radiation by a porous body is investigated here. Linear potential flow theory is used and the associated Boundary Value Problem (BVP) is formulated in frequency domain within a linear porosity condition. First, a semi-analytical solution for a truncated porous circular cylinder is developed using the dedicated eigenfunction expansion method. Then the general case of wave diffraction-radiation by a porous body with an arbitrary shape is discussed and solved through Boundary Integral Equation Method (BIEM). The main goal of these developments is to adapt the existing diffraction-radiation code (HYDROSTAR) for that type of applications. Thus the present study of the porous cylinder consists a validation work of (BIEM) numerical implementation. Excellent agreement between analytical and numerical results is observed. Porosity influence on wave exciting forces, added mass and damping is also investigated.

scholarly journals Shock Wave Diffraction around Circular Cylinder Using Unstructured Adaptive Meshes.

1997 ◽  
Vol 63 (606) ◽  
pp. 469-476
Author(s):  
Yujiro SUZUKI ◽  
Yasuki NAKAKURA ◽  
Akishige ITO ◽  
Takahiko TANAHASHI
Keyword(s):  
Shock Wave ◽  
Circular Cylinder ◽  
Wave Diffraction ◽  
Adaptive Meshes ◽  
Shock Wave Diffraction

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.

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