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Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction Read chapter Read first chapter

2018 | Supplement | Chapter

3. Ray Method of Investigating the Wave Evolution over Arbitrary Topography

Authors : Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha

Published in: Wave Propagation and Diffraction

Publisher: Springer Singapore

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Abstract

Refraction refers to any change in the wavefront configuration as a result of depth variation. This chapter deals with the numerical and analytical approachs of investigating the refraction of surface gravity waves that can be realised in the form of a computational programme and allows the distribution of wave fronts, rays and heights to be constructed and analysed for the case of the transition of regular waves from deep to shallow waters. The elaborated technique is based on the ray method and is implemented for two different cases—when the bottom surface is given either in analytical or tabular form. The refraction of waves with allowance for caustics is investigated as well. Based on the nonlinear theory of propagation of surface gravity waves, we also outline an approach describing the nonlinear refraction of waves and present the results demonstrating the effect of nonlinearity.

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previous chapter Spectral Methods in the Theory of Wave Propagation
next chapter Analytical and Numerical Solutions to the Wave Diffraction Problems
Footnotes
1
A caustic is a curve (or surface) that serves as a wave ray envelope. It can be defined as a surface where each point forms an intersection of two rays emanating from a wave source at an infinitesimal angle to each other and coming together after refraction. Thus, a caustic is the place of wave energy accumulation.
 
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Metadata
Title
Ray Method of Investigating the Wave Evolution over Arbitrary Topography
Authors
Igor T. Selezov
Yuriy G. Kryvonos
Ivan S. Gandzha
Copyright Year
2018
Publisher
Springer Singapore
Book
Wave Propagation and Diffraction

Print ISBN: 978-981-10-4922-4

Electronic ISBN: 978-981-10-4923-1

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-4923-1_3

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