Transmission of an obliquely incident surface wave train through a submerged horizontal slot in a vertical wall

1993 ◽  
Vol 98 (1-4) ◽  
pp. 177-186
Author(s):  
P. K. Kundu
Keyword(s):  
Surface Wave ◽  
Wave Train ◽  
Vertical Wall ◽  
Obliquely Incident

On a uniformly valid model for surface wave interaction

1993 ◽  
Vol 247 ◽  
pp. 589-601 ◽  
Author(s):  
Yehuda Agnon
Keyword(s):  
Surface Wave ◽  
Water Waves ◽  
Wave Train ◽  
Wave Interaction ◽  
Shallow Water Waves ◽  
First Order ◽  
Near Resonance ◽  
Wave Trains ◽  
Velocity Changes ◽  
Forced Waves

Nonlinear interaction of surface wave trains is studied. Zakharov's kernel is extended to include the vicinity of trio resonance. The forced wave amplitude and the wave velocity changes are then first order rather than second order. The model is applied to remove near-resonance singularities in expressions for the change of speed of one wave train in the presence of another. New results for Wilton ripples and the drift current and setdown in shallow water waves are readily derived. The ideas are applied to the derivation of forced waves in the vicinity of quartet and quintet resonance in an evolving wave field.

Fourfold amplification of solitary-wave Mach reflection at a vertical wall

2019 ◽  
Vol 861 ◽  
pp. 517-523 ◽  
Author(s):  
Jeffrey Knowles ◽  
Harry Yeh
Keyword(s):  
Solitary Wave ◽  
Mach Reflection ◽  
Vertical Wall ◽  
Higher Order ◽  
Obliquely Incident ◽  
Maximum Amplification

With the use of a higher-order Euler formulation, we numerically study the reflection of an obliquely incident solitary wave at a vertical wall and compare results with the higher-order Kadomtsev–Petviashvili theory. A maximum amplification of 3.91 is achieved along the wall, nearly realizing the fourfold prediction by Miles (J. Fluid Mech., vol. 79 (1), 1977, pp. 171–179).

The scattering of an obliquely incident surface wave by a submerged fixed vertical plate

1984 ◽  
Vol 25 (6) ◽  
pp. 1780-1783 ◽  
Author(s):  
Birendranath Mandal ◽  
Sudip Kumar Goswami
Keyword(s):  
Surface Wave ◽  
Vertical Plate ◽  
Obliquely Incident

Reflection and Transmission of Obliquely Incident Surface Waves by an Edge of a Quarter Space: Theory and Experiment

1992 ◽  
Vol 59 (2) ◽  
pp. 349-355 ◽  
Author(s):  
Z. L. Li ◽  
J. D. Achenbach ◽  
I. Komsky ◽  
Y. C. Lee
Keyword(s):  
Surface Wave ◽  
Singular Integral Equations ◽  
Angle Of Incidence ◽  
Theoretical Formulation ◽  
Reflection And Transmission ◽  
Translational Invariance ◽  
Transmission Coefficients ◽  
Obliquely Incident ◽  
Quarter Space ◽  
Definition Of

The reflection and transmission of a plane time-harmonic surface wave which is obliquely incident on the edge of a quarter space is investigated theoretically, numerically, and experimentally. The theoretical formulation of the problem, which takes advantage of the translational invariance along the edge of the quarter space, is reduced to a system of singular integral equations along axes normal to the edge, for the defracted displacement components on the faces of the quarter space axes normal to the edge. The truncation of these equations leads to the definition of reflection and transmission coefficients, R and T. The equations are solved for R, T, and the diffracted displacements by the use of the boundary element method. A self-calibrated experimental technique is proposed which deploys four surface wave transducers, and which removes the effects of variable coupling between the transducers and the faces of the quarter space as the positions of the transducers are varied. The technique is particularly suited for the measurement of |R/T| as a function of the angle of incidence. Excellent agreement is observed between numerically and experimentally obtained values.

On steep gravity waves meeting a vertical wall: a triple instability

2002 ◽  
Vol 466 ◽  
pp. 305-318 ◽  
Author(s):  
MICHAEL S. LONGUET-HIGGINS ◽  
DAVID A. DRAZEN
Keyword(s):  
Gravity Waves ◽  
Incident Wave ◽  
Wave Train ◽  
Vertical Wall ◽  
Wave Crest ◽  
Intermediate Form ◽  
Third Wave ◽  
Wave Steepness ◽  
Steep Waves ◽  
Periodic Standing Waves

Theoretical arguments suggest that progressive gravity waves incident on a vertical wall can produce periodic standing waves only if the incident wave steepness ak is quite small, certainly less than 0.284. Laboratory experiments are carried out in which an incident wave train of almost uniform amplitude meets a vertical barrier. At wave steepnesses greater than 0.236 the resulting motion near the barrier is non-periodic. A growing instability is observed in which every third wave crest is steeper than its neighbours. The steep waves develop sharp crests, or vertical jets. The two neighbouring crests are rounded, at-topped, or of intermediate form. The instability grows by a factor of about 2.2 for every three wave periods, almost independently of the incident wave steepness.

scholarly journals Negative reflection and negative surface wave conversion from obliquely incident electromagnetic waves

2018 ◽  
Vol 7 (5) ◽  
pp. 18008-18008 ◽  
Author(s):  
Shuo Liu ◽  
Tie Jun Cui ◽  
Ahsan Noor ◽  
Zui Tao ◽  
Hao Chi Zhang ◽  
...  
Keyword(s):  
Surface Wave ◽  
Electromagnetic Waves ◽  
Obliquely Incident ◽  
Negative Surface ◽  
Wave Conversion

A Strongly-Nonlinear Model for Water Waves in Water of Variable Depth: The Irrotational Green-Naghdi Model

2002 ◽  
Author(s):  
J. W. Kim ◽  
K. J. Bai ◽  
R. C. Ertekin ◽  
W. C. Webster
Keyword(s):  
Solitary Wave ◽  
Water Waves ◽  
Wave Train ◽  
Vertical Wall ◽  
Numerical Test ◽  
Boussinesq Equations ◽  
Approximate Model ◽  
Stokes Wave ◽  
Nonlinear Water Waves ◽  
True Solution

Recently, the authors have derived a new approximate model for the nonlinear water waves, the Irrotational Green-Naghdi (IGN) model. In this paper, we first derive the IGN equations applicable to variable water depth, then perform numerical tests to show whether and how fast the solution of the IGN model converges to the true solution as its level increases. The first example given is the steady solution of the progressive waves of permanent form, which includes the small amplitude sinusoidal wave, the solitary wave and the nonlinear Stokes wave. The second example is the run-up of a solitary wave on a vertical wall. The last example is the shoaling of a wave train over a sloping beach. In each numerical test, the self-convergence of the IGN model is shown first. Then the converged solution is compared to the known analytic solutions and/or solutions of other approximate models such as the KdV and the Boussinesq equations.

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