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Analytical solution for long - wave reflection by a rectangular obstacle with two scour trenches / Jian-Jian Xie in Journal of engineering mechanics, Vol. 137 N° 12 (Decembre 2011) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 137 N° 12 (Decembre 2011) . - pp.919-930 Titre : Analytical solution for long - wave reflection by a rectangular obstacle with two scour trenches Type de document : texte imprimé Auteurs : Jian-Jian Xie, Auteur ; Huan-Wen Liu, Auteur ; Pengzhi Lin, Auteur Année de publication : 2012 Article en page(s) : pp.919-930 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Scour  Long  waves  Wave  reflection  Coefficients Résumé : In this paper, linear long-wave reflection by a rectangular obstacle with two scour trenches of power function profile is explored. A closed-form analytical solution in terms of the first and second kinds of Bessel functions is obtained, which finds two classic analytical solutions as its special cases, i.e., the wave reflection from a rectangular obstacle and from an infinite step. The phenomenon of zero reflection coefficient for a single rectangular obstacle with the same depths in front of and behind the obstacle still remains for a rectangular obstacle with two scour trenches as long as the bathymetry is symmetrical about the obstacle. The periodicity of the reflection coefficient as a function of the relative length of the middle rectangular obstacle disappears if two scour trenches are attached to the middle rectangular obstacle. Finally, the wave reflection by a rectangular obstacle with two scour trenches generally increases when the trenches become wide and deep. The wave reflection by a degenerated single slope increases when the slope becomes deep. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i12/p919_s1?isAuthorized=no [article] Analytical solution for long - wave reflection by a rectangular obstacle with two scour trenches [texte imprimé] / Jian-Jian Xie, Auteur ; Huan-Wen Liu, Auteur ; Pengzhi Lin, Auteur . - 2012 . - pp.919-930. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 137 N° 12 (Decembre 2011) . - pp.919-930 Mots-clés : Scour  Long  waves  Wave  reflection  Coefficients Résumé : In this paper, linear long-wave reflection by a rectangular obstacle with two scour trenches of power function profile is explored. A closed-form analytical solution in terms of the first and second kinds of Bessel functions is obtained, which finds two classic analytical solutions as its special cases, i.e., the wave reflection from a rectangular obstacle and from an infinite step. The phenomenon of zero reflection coefficient for a single rectangular obstacle with the same depths in front of and behind the obstacle still remains for a rectangular obstacle with two scour trenches as long as the bathymetry is symmetrical about the obstacle. The periodicity of the reflection coefficient as a function of the relative length of the middle rectangular obstacle disappears if two scour trenches are attached to the middle rectangular obstacle. Finally, the wave reflection by a rectangular obstacle with two scour trenches generally increases when the trenches become wide and deep. The wave reflection by a degenerated single slope increases when the slope becomes deep. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i12/p919_s1?isAuthorized=no