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fully nonlinear Simulations of wave Resonance by An Array of Cylinders in Vertical Motions

China Ocean Engineering 2013年第1期27卷 87-98页

作者：黄豪彩王赤忠冷建兴 Department of Ocean Science and Engineering Zhejiang University

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.

关键词： resonance an array of cylinders fully nonlinear wave high order finite element method

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全非线性波的高阶谱方法

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哈尔滨工程大学学报（英文版） 2023年第1期22卷 115-127页

作者： Jang Kim Sewan Park Zhirong Shen Johyun Kyoung Aldric Baquet Hyungtae Lee Yoon-Jin Ha Ji-Yong Park Kyong-Hwan Kim Front Energies HoustonTX77084USA Korean Research Institute of Ships&Ocean Engineering Daejeon 34103Korea

Efficient generation of an accurate numerical wave is an essential part of the Numerical wave Basin that simulates the interaction of floating structures with extreme *** fluid dynamics(CFD)is used to model the complex free-surface flow around the floating *** minimize CFD domain that requires intensive computing resources,fully developed nonlinear waves are simulated in a large domain that covers far field by more efficient potential flow model and then coupled with the CFD solution *** numerical models have been proposed for the potential flow *** higher-level spectral(HLS)method presented in this paper is the extended version of HLS model for deep water recently been derived by combining efficiency and robustness of the two existing numerical models–Higher-Order Spectral method and Irrotational Green-Naghdi model(Kim et al.2022).The HLS model is extended for the application of finite-depth of water considering interaction with background *** verification of the HLS model for finite depth is made by checking the qualification criteria of the generated random waves for a wind-farm application in the Dong-Hae Sea of Korea.A selected wave event that represents P90 crest height is coupled to a CFD-based numerical wave tank for the future air-gap analysis of a floating wind turbine.

关键词： fully nonlinear wave Higher-level spectral Computational fluid dynamics Numerical wave tank Wind-farm Air-gap

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