Open AccessBORE FRONT MODELING IN TERMS OF BURGERS EQUATION AND ITS NUMERICAL CALCULATION METHOD
Author(s) -
Takahiro Yamashita,
Yoshito Ysuchiya,
David R. Basco
Publication year - 1988
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v21.192
Subject(s) - burgers' equation , discontinuity (linguistics) , mathematics , diffusion equation , convection–diffusion equation , front (military) , classification of discontinuities , hydraulics , mathematical analysis , transformation (genetics) , flow (mathematics) , mechanics , partial differential equation , physics , geometry , thermodynamics , engineering , chemistry , metric (unit) , operations management , meteorology , gene , biochemistry
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 FT — 2 through discontinuity. It has been verified from the experiments that the condition FT = 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.