Observed and modeled resonantly interacting progressive water-waves

Chapalain, Georges; Cointe, Raymond; Temperville, André

doi:10.1016/0378-3839(92)90045-v

Cited by 47 publications

(42 citation statements)

References 15 publications

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“…Ur=α/β 2 is the Ursell number. Fig.14 shows the wave amplitudes of different harmonics along the wave tank for 'Trial A' of Chapalain et al [2] with generally good agreement. There are some notable discrepancies in the second-order wave amplitude between the numerical results and the experiment, which may be partly due to the viscous effects in the shallow water tank.…”

Section: Shallow Water Wave Tank With Flat Bottommentioning

confidence: 72%

“…By adding a very small Rayleigh damping in the dynamic free surface condition, Shao & Faltinsen [46] have shown in the same shallow water numerical wave tank by using the 2D HPC method that the damping effects on the higher-order harmonics are non-negligible. The amount of the damping used was only 25% of that suggested by Chapalain et al [2] according to the experiments.…”

Section: Shallow Water Wave Tank With Flat Bottommentioning

confidence: 99%

“…The numerical results will be compared with the experiments by Chapalain et al [2]. The experimental characteristics and the wave parameters of the studied case are listed in Table 1.…”

Section: Shallow Water Wave Tank With Flat Bottommentioning

confidence: 99%

See 2 more Smart Citations

A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics

Shao¹,

Faltinsen²

2014

Journal of Computational Physics

103

104

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We propose a new efficient and accurate numerical method based on harmonic polynomials to solve boundary value problems governed by 3D Laplace equation. The computational domain is discretized by overlapping cells. Within each cell, the velocity potential is represented by the linear superposition of a complete set of harmonic polynomials, which are the elementary solutions of Laplace equation. By its definition, the method is named as Harmonic Polynomial Cell (HPC) method. The characteristics of the accuracy and efficiency of the HPC method are demonstrated by studying analytical cases. Comparisons will be made with some other existing boundary element based methods, e.g. Quadratic Boundary Element Method (QBEM) and the Fast Multipole Accelerated QBEM (FMA-QBEM) and a fourth order Finite Difference Method (FDM). To demonstrate the applications of the method, it is applied to some studies relevant for marine hydrodynamics. Sloshing in 3D rectangular tanks, a fully-nonlinear numerical wave tank, fully-nonlinear wave focusing on a semi-circular shoal, and the nonlinear wave diffraction of a bottom-mounted cylinder in regular waves are studied. The comparisons with the experimental results and other numerical results are all in satisfactory agreement, indicating that the present HPC method is a promising method in solving potential-flow problems. The underlying procedure of the HPC method could also be useful in other fields than marine hydrodynamics involved with solving Laplace equation.

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Section: Shallow Water Wave Tank With Flat Bottommentioning

confidence: 72%

Section: Shallow Water Wave Tank With Flat Bottommentioning

confidence: 99%

See 1 more Smart Citation

A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics

Shao¹,

Faltinsen²

2014

Journal of Computational Physics

103

104

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“…The water elevation and non-linear behavior predicted by the model have been compared with measurements reported by Chapalain et al (1992). The experiments were conducted in a 35.54-m-long, 0.4-m-deep wave flume, and the initial water elevation was set to zero.…”

Section: Non-linear Short Wave Propagation In a Constant Water Depthmentioning

confidence: 99%

Numerical modeling of wave–mud interaction using projection method

2013

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“…The problems of monochromatic wave transformation above horizontal beach bottom were studied rather comprehensively in the papers by [1] and [2]. The first four harmonics influence on surface wave profile with its propagation on shallow water was studied in laboratory experiments and using numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions

Abbasov¹

2012

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This work considers the problems of numerical simulation of non-linear surface gravity waves transformation under shallow bay conditions. The discrete model is built from non-linear shallow-water equations. Are resulted boundary and initial conditions. The method of splitting into physical processes receives system from three equations. Then we define the approximation order and investigate stability conditions of the discrete model. The sweep method was used to calculate the system of equations. This work presents surface gravity wave profiles for different propagation phases.

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Observed and modeled resonantly interacting progressive water-waves

Cited by 47 publications

References 15 publications

A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics

A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics

Numerical modeling of wave–mud interaction using projection method

Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions

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