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You are here : eLibrary : IAHR World Congress Proceedings : 36th Congress - The Hague (2015) ALL CONTENT : Water engineering : Numerical simulation of roll waves using shallow water equations with consideration of boussinesq¡¯s...
Numerical simulation of roll waves using shallow water equations with consideration of boussinesq¡¯s coefficient
Author : HIDEKAZU SHIRAI(1), TAKASHI HOSODA(2) & NAOYA KANAZAWA(3)
ABSTRACT
Roll waves have been studied experimentally and theoretically to clarify their hydraulic characteristics, especially wave
profiles. According to Dressler (1949) mathematical theory, which is derived from shallow water equations by assuming
that Boussinesq¡¯s coefficient is 1.0, the wave profiles are determined by discharge, channel slope and wave celerity.
Later, Iwagaki & Iwasa (1955) extended this theory to deal with both turbulence and laminar water flows by Boussinesq¡¯s
coefficient equal to 1.05-1.2. However, using this extended theory, wave profiles are uniquely determined without relation
to wave celerity. In this study, the derivation of the theory is reviewed and compared with Dressler¡¯s theory, in order to
understand the origin of this difference from Dressler¡¯s theory. The comparison of Dressler¡¯s theory shows that the wave
profiles presented by Iwagaki & Iwasa¡¯s theory can be obtained under the limited situation. Numerical simulation of roll
waves are also conducted. Finally, it is found that wave profiles are not unique and these roll waves have various
wavelength and wave height in numerical results regardless of Boussinesq¡¯s coefficient.
File Size : 721,708 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 36th Congress - The Hague (2015) ALL CONTENT
Article : Water engineering
Date Published : 12/08/2015
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