Journal ArticleDOI
A note on the accuracy of the mild-slope equation
TLDR
The mild-slope equation is a vertically integrated refraction-diffraction equation, used to predict wave propagation in a region with uneven bottom slopes as mentioned in this paper, which is based on the assumption of a mild bottom slope.About:
This article is published in Coastal Engineering.The article was published on 1983-08-01. It has received 198 citations till now. The article focuses on the topics: Slope field & Mild-slope equation.read more
Citations
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Journal ArticleDOI
The modified mild-slope equation
P. G. Chamberlain,D. Porter +1 more
TL;DR: A modified version of the mild-slope equation is derived and its predictions of wave scattering by two-dimensional topography compared with those of other equations and with experimental data.
Journal ArticleDOI
Extended refraction-diffraction equation for surface waves.
TL;DR: In this paper, a modification of refraction-diffraction equation is developed for waves propagated over a bed consisting of substantial variations in water depth, where the Galerkin-Eigenfunction Method is used to determine all terms in the wave equation.
Journal ArticleDOI
A consistent coupled-mode theory for the propagation of small-amplitude water waves over variable bathymetry regions
TL;DR: In this article, a consistent coupled-mode theory is derived from a variational formulation of the complete linear problem, by representing the vertical distribution of the wave potential as a uniformly convergent series of local vertical modes at each horizontal position.
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Extensions of the mild-slope equation
D. Porter,D. J. Staziker +1 more
TL;DR: In this article, the use of the mild-slope approximation, which is invoked to simplify the problem of linear water wave diffraction-refraction by bed undulations, is reassessed by using a variational method.
Journal ArticleDOI
A practical alternative to the “mild-slope” wave equation
TL;DR: In this paper, the authors expressed the "mild-slope" equation in the form of a pair of first-order equations, which constitute a hyperbolic system, without the loss of the reflected wave.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Computation of Combined Refraction — Diffraction
TL;DR: In this paper, the derivation of a two-dimensional differential equation, which describes the phenomenon of combined refraction - diffraction for simple harmonic waves, and a method of solving this equation is presented.
Book
Finite Element Techniques for Fluid Flow
TL;DR: Finite element techniques for fluid flow, Finite element techniques with real-time application, اطلاعات رسانی کشاورزی, £20,000 (US$30,000; €40,000)
Journal ArticleDOI
Computation of wave heights due to refraction and friction.
TL;DR: In this article, the wave orthogonals and the wave heights are presented for depth refraction of regular, long-crested, small amplitude surface gravity waves over an arbitrary bottom, using time as the independent variable.
Journal ArticleDOI
Integral Equation Method for linear Water Waves
TL;DR: In this article, the Boundary Integral Equation Method (BIEM) is applied to transient water wave problems and the stability limits and frequency distortion of the numerical method are examined and given.