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Titlebook: Wave Propagation and Diffraction; Mathematical Methods Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha Book 2018 Springer Nature Singapor

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书目名称Wave Propagation and Diffraction
副标题Mathematical Methods
编辑Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha
视频video
概述Features two distinct aspects of wave dynamics: wave propagation and diffraction.Presents the application of different mathematical methods to the solution of typical problems.Offers insights into dir
丛书名称Foundations of Engineering Mechanics
图书封面Titlebook: Wave Propagation and Diffraction; Mathematical Methods Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha Book 2018 Springer Nature Singapor
描述.This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method..Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf.ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction
出版日期Book 2018
关键词Fourier expansions; spline functions; Laplace transform; Stokes waves; Split-step Fourier; water wave ref
版次1
doihttps://doi.org/10.1007/978-981-10-4923-1
isbn_softcover978-981-13-5267-6
isbn_ebook978-981-10-4923-1Series ISSN 1612-1384 Series E-ISSN 1860-6237
issn_series 1612-1384
copyrightSpringer Nature Singapore Pte Ltd. 2018
The information of publication is updating

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Spectral Methods in the Theory of Wave Propagation,the Stokes (gravity) waves on the surface of an inviscid fluid. A spectral method for calculating the limiting Stokes wave with a corner at the crest is considered as well. We also briefly consider the evolution of narrow-band wave trains on the surface of an ideal finite-depth fluid. Finally, a two
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Spectral Methods in the Theory of Wave Propagation,the Stokes (gravity) waves on the surface of an inviscid fluid. A spectral method for calculating the limiting Stokes wave with a corner at the crest is considered as well. We also briefly consider the evolution of narrow-band wave trains on the surface of an ideal finite-depth fluid. Finally, a two
发表于 2025-3-22 09:26:53 | 显示全部楼层
Ray Method of Investigating the Wave Evolution over Arbitrary Topography,tical 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 wate
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Ray Method of Investigating the Wave Evolution over Arbitrary Topography,tical 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 wate
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Wave Diffraction by Convex Bodies in Semi-infinite Domains,tic wave scattering and diffraction by cylindrical and spherical obstacles in a semi-infinite domain. The solution is written in terms of an infinite series of multiply diffracted fields. Explicit approximate asymptotic solutions are found and investigated for the case of distant scattered fields in
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