Fully Nonlinear Simulations of Wave Resonance by An Array of Cylinders in Vertical Motions

The finite element method （FEM） is employed to analyze the resonant oscillations of the liquid confined within multiple or an array of floating bodies with fully nonlinear boundary conditions on the free surface and the body surface in two dimensions. The velocity potentials at each time step are ob...

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Bibliographic Details
Published inChina ocean engineering Vol. 27; no. 1; pp. 87 - 98
Main Author 黄豪彩 王赤忠 冷建兴
Format Journal Article
LanguageEnglish
Published Heidelberg Chinese Ocean Engineering Society 01.03.2013
Department of Ocean Science and Engineering, Zhejiang University, Hangzhou 310058, China
Subjects
Arrays
Coastal Sciences
Computer simulation
Cylinders
Engineering
Finite element method
Fluid- and Aerodynamics
Hydrodynamics
Marine
Marine & Freshwater Sciences
Mathematical analysis
Mathematical models
Nonlinearity
Numerical and Computational Physics
Oceanography
Offshore Engineering
Simulation
共振
圆柱体
垂直运动
数组
有限元法
自由表面
非线性模拟
非线性边界条件
high order finite element method
resonance
fully nonlinear wave
an array of cylinders
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ISSN0890-5487
2191-8945
DOI10.1007/s13344-013-0008-x

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Summary:The finite element method （FEM） is employed to analyze the resonant oscillations of the liquid confined within multiple or an array of floating bodies with fully nonlinear boundary conditions on the free surface and the body surface in two dimensions. The velocity potentials at each time step are obtained through the FEM with 8-node quadratic shape functions. The finite element linear system is solved by the conjugate gradient （CG） method with a symmetric successive overelaxlation （SSOR） preconditioner. The waves at the open boundary are absorbed by the combination of the damping zone method and the Sommerfeld-Orlanski equation. Numerical examples are given by an array of floating wedge- shaped cylinders and rectangular cylinders. Results are provided for heave motions including wave elevations, profiles and hydrodynamic forces. Comparisons are made in several cases with the results obtained from the second order solution in the time domain. It is found that the wave amplitude in the middle region of the array is larger than those in other places, and the hydrodynamic force on a cylinder increases with the cylinder closing to the middle of the array.
Bibliography:resonance; an array of cylinders; fully nonlinear wave; high order finite element method
32-1441/P
HUANG Hao-cai, WANG Chi-zhong and LENG Jian-xing Department of Ocean Science and Engineering, Zhejiang University, Hangzhou 310058, China
The finite element method （FEM） is employed to analyze the resonant oscillations of the liquid confined within multiple or an array of floating bodies with fully nonlinear boundary conditions on the free surface and the body surface in two dimensions. The velocity potentials at each time step are obtained through the FEM with 8-node quadratic shape functions. The finite element linear system is solved by the conjugate gradient （CG） method with a symmetric successive overelaxlation （SSOR） preconditioner. The waves at the open boundary are absorbed by the combination of the damping zone method and the Sommerfeld-Orlanski equation. Numerical examples are given by an array of floating wedge- shaped cylinders and rectangular cylinders. Results are provided for heave motions including wave elevations, profiles and hydrodynamic forces. Comparisons are made in several cases with the results obtained from the second order solution in the time domain. It is found that the wave amplitude in the middle region of the array is larger than those in other places, and the hydrodynamic force on a cylinder increases with the cylinder closing to the middle of the array.
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ISSN:0890-5487
2191-8945
DOI:10.1007/s13344-013-0008-x