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contributor authorHayatdavoodi, Masoud
contributor authorCengiz Ertekin, R.
date accessioned2023-11-29T19:36:01Z
date available2023-11-29T19:36:01Z
date copyright10/25/2022 12:00:00 AM
date issued10/25/2022 12:00:00 AM
date issued2022-10-25
identifier issn0892-7219
identifier otheromae_145_2_021201.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4294887
description abstractDiffraction and refraction of nonlinear shallow water waves due to uneven bathymetry are studied by use of the Green–Naghdi (GN) equations in three dimensions. A numerical wave tank consisting of deep, transitional, and shallow regions is created. Various forms of three-dimensional bathymetry, consisting of ramps with nonuniform profiles and large slopes, are used to connect the deep-water side of the tank to the shallow water shelf. A wavemaker is placed at the upwave side of the domain, capable of generating solitary and cnoidal waves of the GN equations. A numerical wave absorber is located downwave of the domain to minimize the wave reflection back into the domain. The system of equations is solved numerically in time domain by use of a second-order finite-difference approach for spatial discretization, and in a boundary-fitted coordinate system, and by use of the modified Euler method for time marching. Results include solitary and cnoidal wave surface elevation and particle velocities and are compared with the existing solutions where possible. Overall, very good agreement is observed. Discussion is provided on the nonlinearity and dispersion effects on the wave diffraction and refraction by the various forms of the ramps, as well as on the performance of the GN equations in solving these problems.
publisherThe American Society of Mechanical Engineers (ASME)
titleDiffraction and Refraction of Nonlinear Waves by the Green–Naghdi Equations
typeJournal Paper
journal volume145
journal issue2
journal titleJournal of Offshore Mechanics and Arctic Engineering
identifier doi10.1115/1.4055484
journal fristpage21201-1
journal lastpage21201-13
page13
treeJournal of Offshore Mechanics and Arctic Engineering:;2022:;volume( 145 ):;issue: 002
contenttypeFulltext


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