Computation of Combined Refraction — Diffraction
J.C.W. Berkhoff
- Vol. 1, Iss: 13, pp 23-23
TLDR
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.Abstract:
This paper treats 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 The equation is derived with the aid of a small parameter development, and the method of
solution is based on the finite element technique, together with a source distribution methodread more
Citations
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A third-generation wave model for coastal regions: 1. Model description and validation
TL;DR: In this article, a third-generation numerical wave model to compute random, short-crested waves in coastal regions with shallow water and ambient currents (Simulating Waves Nearshore (SWAN)) has been developed, implemented, and validated.
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Wave diffraction due to areas of energy dissipation
TL;DR: In this article, a parabolic model for calculating the combined refraction/diffraction of monochromatic linear waves is developed, including a term which allows for the dissipation of wave energy.
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Wave Modelling - The State of the Art
Luigi Cavaleri,Jose Henrique G. M. Alves,Fabrice Ardhuin,Alexander V. Babanin,Michael L. Banner,Kostas Belibassakis,Michel Benoit,Mark A. Donelan,J. Groeneweg,T. H. C. Herbers,Paul A. Hwang,Peter A. E. M. Janssen,T. T. Janssen,I. V. Lavrenov,Rudy Magne,Jaak Monbaliu,Miguel Onorato,V. G. Polnikov,Donald T. Resio,W.E. Rogers,Alex Sheremet,J. McKee Smith,Hendrik L. Tolman,G.P. van Vledder,Judith Wolf,Ian R. Young +25 more
TL;DR: This paper tries to make a picture of the present situation in this branch of science, exploring the previous and the most recent results and looking ahead towards the solution of the problems the authors presently face.
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Diffraction and refraction of surface waves using finite and infinite elements
Peter Bettess,O. C. Zienkiewicz +1 more
TL;DR: In this article, the wave problem is introduced and a derivation of Berkhoff's surface wave theory is outlined, and appropriate boundary conditions are described, for finite and infinite boundaries.
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On the parabolic equation method for water-wave propagation
TL;DR: In this paper, a parabolic approximation to the reduced wave equation was proposed for the propagation of periodic surface waves in shoaling water. The approximation is derived from splitting the wave field into transmitted and reflected components.
References
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Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Journal ArticleDOI
Surface waves on water of non-uniform depth
TL;DR: In this article, the authors present a derivation which appears to be satisfactory and which also yields corrections to the geometrical optics theory for surface wave propagation in water whose depth varies in a general way.
Journal ArticleDOI
Refraction of Water Waves
TL;DR: In this paper, the authors investigated the propagation of three-dimensional, harmonic waves of small amplitude through water of constant depth or gradually varying depth, and the results are exact for propagation over horizontal bottoms, e.g., diffraction combined with diffraction.
Journal ArticleDOI
Diffraction de la houle sur des obstacles à parois verticales
A. Daubert,J.-C. Lebreton +1 more
TL;DR: In this article, a linear irrotational wave theory was proposed to calculate the forces acting on vertical-sided structures subjected to waves coming in from an infinite distance, and the problem is solved by determining the diffracting wave potential and adding it to the incident waves, which is done in two phases, as follows: 1) Finding Green's function (Eqs. 1 to 5) ; 2) determining the intensity of the sources to distribute over the obstacle.