Bragg reflection in a fully nonlinear numerical wave tank based on boundary integral equation method

Tang, Hung-Jie; Huang, Chai Cheng

doi:10.1016/j.oceaneng.2008.09.008

Cited by 17 publications

(9 citation statements)

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“…On the basis of the continuity of velocity, a theoretical particle velocity profile can be used to specify the boundary value along the inflow boundary. For nonlinear regular waves, the second-order Stokes wave is used to prevent a mismatch between the input velocity profiles and real water particle velocity, as described in [22,23] and expressed below:…”

Section: Inflow Boundary Conditionmentioning

confidence: 99%

Numerical Study of the Influence of Fishnet Mesh Size on a Floating Platform

Tang

Huang

Yang

2020

JMSE

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This study aims to investigate the influence of fishnet mesh size on a floating platform. A self-developed, time-domain numerical model was used for the evaluation. This model is based on potential flow theory, uses the boundary element method (BEM) to solve nonlinear wave-body interactions, and applies the Morison equation to calculate the hydrodynamic forces exerted on fishnets. The mooring system is treated as a linear and symmetric spring. The results near the resonant frequency of the platform indicate that the smaller the fishnet mesh size, the lower the heave, pitch, and sea-side tension response amplitude operators (RAOs), but the higher the reflection coefficient. The results in the lower frequency region reveal that the smaller the fishnet mesh size, the lower the surge and heave RAOs, but the higher the pitch and tension RAOs. Meanwhile, the time-domain results at the resonant frequency of heave motion are shown to indicate the influences of a platform with various fishnets mesh sizes on the rigid body motion, mooring line tension, and transmitted wave heights. In addition, a comparison of nonlinear effects indicates that, after reducing the fishnet mesh size, the second-order RAOs of heave, pitch, and sea-side tension decrease, but the changes are minor against the first-order results.

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Section: Inflow Boundary Conditionmentioning

confidence: 99%

Numerical Study of the Influence of Fishnet Mesh Size on a Floating Platform

Tang

Huang

Yang

2020

JMSE

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“…The actual wave tank has been made open sea condition with the reflection coefficient typically less than 5% over the frequency range of interest (Tang and Huang, 2008). It shows that the result of the reflection is much better than the physical wave tank.…”

Section: Nurbs Potential Numerical Wave Tankmentioning

confidence: 99%

“…Constant element formulation, as the simplest one, was employed by Ryu et al (2003) to simulate currentwave interaction in the 2D NWT. The linear elements approach was used by Buchmann et al (1998) to predict wave run-up on structure in numerical wave tank and, analogously, this method was treated to determine Bragg reflection in 2D NWT by Tang et al (2008). Curvilinear element was employed by Baudic et al (2001) to describe the boundaryin nonlinear potential wave tank.A boundary element formulation based on B-splines is developed by Carbal et al (1990) for higher degrees of continuity of the geometric boundary and variables.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear wave transmission and pressure on the fixed truncated breakwater using NURBS numerical wave tank

Abbasnia

Ghiasi

2014

Lat. Am. j. solids struct.

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Fully nonlinear wave interaction with a fixed breakwater is investigated in a numerical wave tank (NWT). The potential theory and high-order boundary element method are used to solve the boundary value problem. Time domain simulation by a mixed Eulerian-Lagrangian (MEL) formulation and high-order boundary integral method based on non uniform rational B-spline (NURBS) formulation is employed to solve the equations. At each time step, Laplace equation is solved in Eulerian frame and fully non-linear free-surface conditions are updated in Lagrangian manner through material node approach and fourth order Runge-Kutta time integration scheme. Incident wave is fed by specifying the normal flux of appropriate wave potential on the fixed inflow boundary. To ensure the open water condition and to reduce the reflected wave energy into the computational domain, two damping zones are provided on both ends of the numerical wave tank. The convergence and stability of the presented numerical procedure are examined and compared with the analytical solutions. Wave reflection and transmission of nonlinear waves with different steepness are investigated. Also, the calculation of wave load on the breakwater is evaluated by first and second order time derivatives of the potential.

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“…A ramping function is engaged to avoid the impulse-like behavior and keep the stability of solutions and to reach to the steady state properly. In the present modeling, the ramping function given by Tang and Huang (2008) is used:…”

Section: Artificial Wave Generatormentioning

confidence: 99%

“…A two dimensional potential wave tank was developed by Tang and Huang (2008) for propagation of the second-order wave and simulation of Bragg bottom effect on the free surface evolution. They employed the linear boundary element method to solve the non-linear problem.…”

Section: Introductionmentioning

confidence: 99%