Chapter
Dec 31, 2015
Bore Front Modeling in Terms of Burgers Equation and its Numerical Calculation Method
Authors: Takao Yamashita, Yoshito Tsuchiya, and David R. BascoAuthor Affiliations
Publication: Coastal Engineering 1988
Abstract
Bore front hydraulics are investigated in terms of Burgers equation to clarify the dynamics of a moving discontinuity in water flow. Burgers equation has been derived from the one dimensional open channel equation with the horizontal turbulent diffusion term. The derived equation system consists of Burgers with respect to dynamic characteristic and hyperbolic equation with respect to water surface elevation, which satisfys Jeffery-Vedernikov condition Fr = 2 through discontinuity. It has been verified from the experiments that the condition Fr = 2 is a good approximation of bore front dynamics. The numercal calulation method of Burgers equation employing Cole-Hopf transformation and QUICKEST algorithm was also proposed and confirmed its efficiency.
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Published In
Coastal Engineering 1988
Pages: 2589 - 2602
Copyright
© 1989 American Society of Civil Engineers.
History
Published online: Dec 31, 2015
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Authors
Affiliations
Takao Yamashita
Instructor, Disaster Prevention Research Institute, Kyoto Universuty, Kyoto 611, Japan
Yoshito Tsuchiya
Professor, Disaster Prevention Research Institute, Kyoto Universuty, Kyoto 611, Japan
David R. Basco
Professor of Civil Engineering and Director of Coastal Engineering Institute, Old Dominion University, Norfolk, VA 23529-0242, U.S.A.
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