Nonlinear hydrodynamics of freely floating symmetric bodies in waves by three-dimensional fully nonlinear potential-flow numerical wave tank

Kim, Sung-Jae; Kim, Moo-Hyun; Koo, Weoncheol

doi:10.1016/j.apor.2021.102727

Cited by 15 publications

(10 citation statements)

References 45 publications

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“…where p = p(t), q = q(x, y, z) are functions of their variables and a j ( j = 0, 1, 2, L ,6) are constants. Putting the expansion function (7) into equation (6), we obtain the conclusion as follows:…”

Section: Variable Separationmentioning

confidence: 99%

See 1 more Smart Citation

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Fan¹,

Bao²

2022

Phys. Scr.

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In this paper, the superposition solutions of (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like(vcSTOL) equation are studied. The equation can illustrate various difficult sciences areas. Due to the wide application, it is very important to find the exact solutions of it. By introducing transformation, the equation is transformed into bilinear form. We use variable separation method and trial function method to obtain the superposition solutions of the equation containing different functions and forms. The images are drawn with the help of symbolic computing system Mathematica, and the properties of the solutions are analyzed. The analysis shows that different functions will affect the overall shape of waves, including the interaction between waves, the size, the direction and the number of waves, which can get more new phenomena. To our knowledge, those types of superposition solutions of (3+1)-dimensional vcSTOL equation mentioned in our work by variable separation method have not been reported before. Furthermore, we add the square terms to the expansion function, so that the obtained solutions have the characteristics of Lump solution, which has not been done in the previous literatures.

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Section: Variable Separationmentioning

confidence: 99%

“…In addition to mathematics, nonlinear phenomena are involved in many fields, such as atmospheric physics, optical fiber communication, biophysics, hydrodynamics and so on [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Because of its important application value, the research of nonlinear phenomena has become a hot spot.…”

Section: Introductionmentioning

confidence: 99%

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Fan¹,

Bao²

2022

Phys. Scr.

View full text Add to dashboard Cite

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“…. , which is used to simulate the damping term in the upstream and downstream regions of the free surface computational domain to absorb reflected waves and outflow waves [13][14] .…”

Section: Algorithm Selectionmentioning

confidence: 99%

Hydrodynamics of Double Tanks in Narrow Environment in Ocean Engineering Based on Boundary Finite Element Method

2022

FOE

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Due to the great application value of super-large floating body in ocean engineering, there have been many studies on it in the past 20 years. In fact, a super-large floating body is composed of many small floating bodies, and there are slits between them. The hydrodynamic interaction between the small floating bodies is a complex hydrodynamic interference problem. For the hydrodynamic analysis research of super-large floating bodies composed of many small floating bodies, traditional numerical methods have encountered certain difficulties. In this paper, the purpose of this paper is to study the hydrodynamics of double tanks in the narrow gap environment of marine engineering based on the boundary finite element method. This paper uses the numerical simulation method. Based on the successful simulation of a single cage, the double cage composed of two single cage The hydrodynamic characteristics under the action of water flow are studied, which will lay a strong foundation for the development of deepwater multi-body combined cage research. Based on the basic theory of fluid mechanics, the hydrodynamic resistance of deep-water vessels is estimated. The complex and changeable model is replaced by an ideal model, and the resistance of the cage is divided into three parts: rod , ring and net, and the resistance of the rest is ignored. A simple formula is obtained by mathematical fitting and the error is estimated within the allowable range. Follow the steps for a scientific assessment of cage hydrodynamics using accepted formulas .

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“…The frequency-dependent hydrodynamic coefficients of the multiple floating bodies were obtained using a BEM-based 3D diffraction/radiation panel program, WAMIT [26]. The body-nonlinear Froude-Krylov force based on linear wave theory and body-nonlinear hydrostatic force were calculated in the time domain by considering the instantaneous submerged body surface at every time step [27,28]. Then, a fully coupled dynamic simulation was performed in the time domain to evaluate the respective body responses, relevant forces and stresses, and the corresponding power production in typical random waves of the given site.…”

Section: Introductionmentioning

confidence: 99%

Coupled Dynamic Analysis of a Bottom-Fixed Elastic Platform with Wave Energy Converters in Random Waves

2022

Self Cite

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A Wavestar-type Wave Energy Converter (WEC) on an elastic foundation structure was investigated using an author-developed coupled dynamic analysis computer program. The program included an elastic foundation structure composed of beam elements, a multi-body dynamics model of the entire system, a hydrodynamics model of the dual-buoy, and fully coupled dynamics considering the interaction between the structure and WECs. The selected WEC models a heaving-point-absorber (HPA), one of the oscillating body systems which causes rotational motions of a connecting rod attached to the foundation structure. A rotational-damper-type hydraulic power take-off (PTO) system on the foundation structure produced electricity. The bottom-fixed foundation structure was modeled by three-dimensional beam elements, and the entire system, including HPA, was analyzed by multi-body dynamics. Random wave data at Buan, a nearshore region of Korea, collected by the Korea Meteorological Administration (KMA), was used as a demonstration study using the developed computer programs. Through the case study, the displacement and stress of the foundation structure were increased significantly by the dynamic coupling effects with the WECs, which underscores that the coupled dynamic analysis is essential for a reliable performance evaluation and the design of such a system.

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Nonlinear hydrodynamics of freely floating symmetric bodies in waves by three-dimensional fully nonlinear potential-flow numerical wave tank

Cited by 15 publications

References 45 publications

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Hydrodynamics of Double Tanks in Narrow Environment in Ocean Engineering Based on Boundary Finite Element Method

Coupled Dynamic Analysis of a Bottom-Fixed Elastic Platform with Wave Energy Converters in Random Waves

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