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Optimum fifth order stokes wave theory

Acta Oceanologica Sinica 1995年第1期14卷 91-101页

作者： Fu Yuhua(China Offshore Oil Development & Engineering Corporation, P. O. Box 4709, Beijing 100027, China)

This Paper improves the existing fifth order stokes wave theory by using least Square method, and givesthe optimum result in the meaning of minimum error Squares to satisfy the free surface boundary conditions, and thewave profile can be adjusted according to the measured data. This paper also gives a simplified method for derivingthe parameters of the existing fifth order stokes wave.

关键词： stokes wave theory least square method optimization wave profile

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Third-Order stokes wave Solutions of the Free Surface Capillary- Gravity wave and the Interfacial Internal wave

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China Ocean Engineering 2017年第6期31卷 781-787页

作者： MENG Rui-jun CUI Ji-feng CHEN Xiao-gang ZHANG Bao-le ZHANG Hong-bo College of Science Inner Mongolia University of Technology Hohhot 010051 China

Based on the stokes wave theory, the capillary-gravity wave and the interfacial internal wave in two-layer constant depth＇s fluid system are investigated. The fluids are assumed to be incompressible, inviscid and irrotational. The third-order stokes wave solutions are given by using a perturbation method. The results indicate that the third-order solutions depend on the surface tension, the density and the depth of each layer. As expected, the first-order solutions are the linear theoretical results （the small amplitude wave theoretical results）. The second-order and the third-order solutions describe the nonlinear modification and the nonlinear interactions. The nonlinear impact appears not only in the n （n〉~2） times＇ high frequency components, but also in the low frequency components. It is also noted that the wave velocity depends on the wave number, depth, wave amplitude and surface tension.

关键词： surface tension capillary-gravity waves stokes wave theory third-order stokes wave solutions

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Spectral Analysis of Nonlinear Drag Forces

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China Ocean Engineering 2005年第2期19卷 325-332页

作者：马汝建李桂喜赵东 School of Mechanical Engineering Jinan UniversityJinan 250022 China

The spectral properties of nonlinear drag forces of random waves on vertical circular cylinders are analyzed in this paper by means of nonlinear spectral analysis. The analysis provides basic parameters for estimation of the characteristic drag forces. Numerical computation is also performed for the investigation of the effects of nonlinearity of the drag forces. The results indicate that the wave drag forces calculated by linear wave theory are larger than those calculated by the third order stokes wave theory for given waves. The difference between them increases with wave height. The wave drag forces calculated by use of linear approximation are about 5% smaller than their actual values when measured in the peak values of spectral densities. This will result in a safety problem for the design of offshore structures. Therefore, the nonlinear effect of wave drag forces should be taken into consideration in design and application of important offshore structures.

关键词： offshore engineering random wave drag force nonlinearity spectral property stokes wave theory

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Numerical Modelling of Regular waves Propagation and Breaking Using waves2Foam

Numerical Modelling of Regular Waves Propagation and Breakin...

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作者： Behrang Chenari Shiva Saadatian Almerindo Domingues Ferreira University of Coimbra Department of Mechanical Engineering

Nowadays, ocean energy has attracted more attention among the researchers due to its massive energy potential. As designing, constructing and testing prototypes are both expensive and time consuming, recently, many researchers have developed numerical wave tanks to simulate the behaviour of the waves as well as the interaction of waves with wave energy converters. This paper aims to model numerical wave tanks, using waves2Foam-a solver within Open FOAM, to show the propagation of waves, as well as different wave breaking types. Firstly, a flat-bottom wave tank is modelled in order to simulate both generation and absorption of the waves. Such results are benchmarked against laboratory experiments data and the comparison between simulation and experiment results showed a good agreement. Furthermore, some additional cases are modelled to assess the capability of waves2 Foam in absorption of waves’ reflection from the outlet boundary. Secondly, different sloped wave tanks are modelled to investigate the capability of waves2 Foam in properly simulating wave breakings. Results demonstrated that waves2 Foam is not only able to well simulate wave generation and absorption but it is also able to simulate all types of wave breaking. This work presents waves2 Foam as powerful toolbox which can properly model waves based on different wave theories. However, some limitations of the solver were identified.

关键词： Breaking waves numerical wave tank Open FOAM relaxation zone stokes wave theory waves2Foam

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