Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition

2007 ◽  
Vol 29 (1-2) ◽  
pp. 55-71 ◽  
Author(s):  
W. Bai ◽  
R. Eatock Taylor
Keyword(s):  
Numerical Simulation ◽  
Domain Decomposition ◽  
Wave Diffraction ◽  
Vertical Cylinder ◽  
Fully Nonlinear ◽  
Focused Wave

Computations of fully nonlinear three-dimensional wave–wave and wave–body interactions. Part 2. Nonlinear waves and forces on a body

2001 ◽  
Vol 438 ◽  
pp. 41-66 ◽  
Author(s):  
YUMING LIU ◽  
MING XUE ◽  
DICK K. P. YUE
Keyword(s):  
Steady State ◽  
Wave Diffraction ◽  
High Harmonic ◽  
Three Dimensional ◽  
Vertical Cylinder ◽  
Fully Nonlinear ◽  
Bow Wave ◽  
Stokes Waves ◽  
State Force ◽  
Dimensional Wave

The mixed-Eulerian–Lagrangian method using high-order boundary elements, described in Xue et al. (2001) for the simulation of fully nonlinear three-dimensional wave–wave and wave–body interactions, is here extended and applied to the study of two nonlinear three-dimensional wave–body problems: (a) the development of bow waves on an advancing ship; and (b) the steep wave diffraction and nonlinear high-harmonic loads on a surface-piercing vertical cylinder. For (a), we obtain convergent steady-state bow wave profiles for a flared wedge, and the Wigley and Series 60 hulls. We compare our predictions with experimental measurements and find good agreement. It is shown that upstream influence, typically not accounted for in quasi-two-dimensional theory, plays an important role in bow wave prediction even for fine bows. For (b), the primary interest is in the higher-harmonic ‘ringing’ excitations observed and quantified in experiments. From simulations, we obtain fully nonlinear steady-state force histories on the cylinder in incident Stokes waves. Fourier analysis of such histories provides accurate predictions of harmonic loads for which excellent comparisons to experiments are obtained even at third order. This confirms that ‘ringing’ excitations are directly a result of nonlinear wave diffraction.

Numerical Simulation of Focused Wave Interaction with a Fixed Vertical Cylinder

2021 ◽  
Vol 31 (1) ◽  
pp. 112-120
Author(s):  
Kangping Liao ◽  
Qiang Wang ◽  
Qingwei Ma ◽  
Wenyang Duan ◽  
Lei Li ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Vertical Cylinder ◽  
Wave Interaction ◽  
Focused Wave

Meshless numerical simulation for fully nonlinear water waves

2005 ◽  
Vol 50 (2) ◽  
pp. 219-234 ◽  
Author(s):  
Nan-Jing Wu ◽  
Ting-Kuei Tsay ◽  
D. L. Young
Keyword(s):  
Numerical Simulation ◽  
Water Waves ◽  
Nonlinear Water Waves ◽  
Fully Nonlinear

scholarly journals Boussinesq Model and CFD Simulations of Non-Linear Wave Diffraction by a Floating Vertical Cylinder

2020 ◽  
Vol 8 (8) ◽  
pp. 575
Author(s):  
Sarat Chandra Mohapatra ◽  
Hafizul Islam ◽  
C. Guedes Soares
Keyword(s):  
Wave Diffraction ◽  
Perturbation Technique ◽  
Harmonic Wave ◽  
Vertical Cylinder ◽  
Numerical Data ◽  
Second Order ◽  
Wave Number ◽  
Linear Wave ◽  
Cfd Simulations ◽  
Boussinesq Model

A mathematical model for the problem of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq equations (BEs). Using Bessel functions in the velocity potentials, the mathematical problem is solved for second-order wave amplitudes by applying a perturbation technique and matching conditions. On the other hand, computational fluid dynamics (CFD) simulation results of normalized free surface elevations and wave heights are compared against experimental fluid data (EFD) and numerical data available in the literature. In order to check the fidelity and accuracy of the Boussinesq model (BM), the results of the second-order super-harmonic wave amplitude around the vertical cylinder are compared with CFD results. The comparison shows a good level of agreement between Boussinesq, CFD, EFD, and numerical data. In addition, wave forces and moments acting on the cylinder and the pressure distribution around the vertical cylinder are analyzed from CFD simulations. Based on analytical solutions, the effects of radius, wave number, water depth, and depth parameters at specific elevations on the second-order sub-harmonic wave amplitudes are analyzed.

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