scholarly journals Generation of Gravity Waves by Pedal-Wavemakers

Fluids ◽  
2021 ◽  
Vol 6 (6) ◽  
pp. 222
Author(s):  
Isis Vivanco ◽  
Bruce Cartwright ◽  
A. Ledesma Ledesma Araujo ◽  
Leonardo Gordillo ◽  
Juan F. Marin

Experimental wave generation in channels is usually achieved through wavemakers (moving paddles) acting on the surface of the water. Although practical for engineering purposes, wavemakers have issues: they perform poorly in the generation of long waves and create evanescent waves in their vicinity. In this article, we introduce a framework for wave generation through the action of an underwater multipoint mechanism: the pedal-wavemaking method. Our multipoint action makes each point of the bottom move with a prescribed pedalling-like motion. We analyse the linear response of waves in a uniform channel in terms of the wavelength of the bottom action. The framework naturally solves the problem of the performance for long waves and replaces evanescent waves by a thin boundary layer at the bottom of the channel. We also show that proper synchronisation of the orbital motion on the bottom can produce waves that mimic deep water waves. This last feature has been proved to be useful to study fluid–structure interaction in simulations based on smoothed particle hydrodynamics.

1968 ◽  
Vol 32 (2) ◽  
pp. 353-365 ◽  
Author(s):  
D. H. Peregrine

Equations of motion are derived for long gravity waves in a straight uniform channel. The cross-section of the channel may be of any shape provided that it does not have gently sloping banks and it is not very wide compared with its depth. The equations may be reduced to those for two-dimensional motion such as occurs in a rectangular channel. The order of approximation in these equations is sufficient to give the solitary wave as a solution.


2019 ◽  
Vol 7 (1) ◽  
pp. 17 ◽  
Author(s):  
Andi Trimulyono ◽  
Hirotada Hashimoto

This paper is aimed to validate smoothed particle hydrodynamics (SPH) on the generation and propagation of water waves. It is a classical problem in marine engineering but a still important problem because there is a strong demand to generate intended nonlinear water waves and to predict complicated interactions between nonlinear water waves and fixed/floating bodies, which is indispensable for further ocean utilization and development. A dedicated experiment was conducted in a large wave basin of Kobe University equipped with a piston-type wavemaker, at three water depths using several amplitudes and periods of piston motion for the validation of SPH mainly on the long-distance propagation of water waves. An SPH-based two-dimensional numerical wave tank (NWT) is used for numerical simulation and is accelerated by a graphics processing units (GPU), assuming future applications to realistic engineering problems. In addition, comparison of large-deformation of shallow water waves, when passing over a fixed box-shape obstacle, is also investigated to discuss the applicability to wave-structure interaction problems. Finally, an SPH-based three-dimensional NWT is also validated by comparing with an experiment and two-dimensional simulation. Through these validation studies, detailed discussion on the accuracy of SPH simulation of water waves is made as well as providing a recommended set of SPH parameters.


2013 ◽  
Vol 87 (2) ◽  
Author(s):  
Andrea Colagrossi ◽  
Antonio Souto-Iglesias ◽  
Matteo Antuono ◽  
Salvatore Marrone

Author(s):  
Robert A. Dalrymple ◽  
Moncho Gómez-Gesteira ◽  
Benedict D. Rogers ◽  
Andrea Panizzo ◽  
Shan Zou ◽  
...  

2014 ◽  
Vol 60 (1-4) ◽  
pp. 63-86
Author(s):  
Kazimierz Szmidt

Abstract This paper presents an examination of approximation aspects of the Smoothed Particle Hydrodynamics (SPH) in modeling the water wave phenomenon. Close attention is paid on consistency of the SPH formulation and its relation with a correction technique applied to improve the method accuracy. The considerations are confined to flow fields within finite domains with a free surface and fixed solid boundaries with free slip boundary conditions. In spite of a wide application of the SPH method in fluid mechanics, the appropriate modeling of the boundaries is still not clear. For solid straight line boundaries, a natural way is to use additional (virtual, ghost) particles outside the boundary and take into account mirror reflection of associated field variables. Such a method leads to good results, except for a vicinity of solid horizontal bottoms where, because of the SPH approximations in the description of pressure, a stratification of the fluid material particles may occur. In order to illustrate the last phenomenon, some numerical tests have been made. These numerical experiments show that the solid fluid bottom attracts the material particles and thus, to prevent these particles from penetration into the bottom, a mutual exchange of positions of real and ghost particles has been used in a computation procedure.


Author(s):  
Robert A. Dalrymple ◽  
Benedict Rogers ◽  
Muthukumar Narayanaswamy ◽  
Shan Zou ◽  
Moncho Gesteira ◽  
...  

Smoothed Particle Hydrodynamics provides a numerical method particularly well suited to examine the breaking of water waves due to the ability of the method to cope with splash. The method is a meshfree Lagrangian method that allows the computational domain to deform with the flowing liquid. Here we discuss the appropriate kernels used in the interpolation and the time stepping alogrithms. Applications to water waves are shown.


2007 ◽  
Vol 3 (S250) ◽  
pp. 133-138
Author(s):  
Atsuo T. Okazaki ◽  
Stanley P. Owocki ◽  
Christopher M. P. Russell ◽  
Michael F. Corcoran

AbstractWe study colliding winds in the superluminous binary η Carinae by performing three-dimensional, Smoothed Particle Hydrodynamics (SPH) simulations. For simplicity, we assume both winds to be isothermal. We also assume that wind particles coast without any net external forces. We find that the lower density, faster wind from the secondary carves out a spiral cavity in the higher density, slower wind from the primary. Because of the phase-dependent orbital motion, the cavity is very thin on the periastron side, whereas it occupies a large volume on the apastron side. The model X-ray light curve using the simulated density structure fits very well with the observed light curve for a viewing angle of i = 54° and φ = 36°, where i is the inclination angle and φ is the azimuth from apastron.


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