Flood routing based on diffusion wave equation using mixing cell method

✍ Scribed by V. P. Singh; Guang-Te Wang; D. D. Adrian

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 176 KB
• Volume: 11
• Category: Article
• ISSN: 0885-6087
• DOI: 10.1002/(sici)1099-1085(199711)11:14<1881::aid-hyp536>3.0.co;2-k

✦ Synopsis

A one-dimensional non-linear diusion wave equation is derived from the Saint Venant equations with neglect of the inertia terms. This non-linear equation has no general analytical solution. Numerical schemes are therefore employed to discretize the space and time axes and convert the dierential equation to dierence form. In this study, the mixing cell method is used to convert the diusion wave equation to dierence form, in which the dierence term can be eliminated by selecting an optimal space step size Dx when time step size Dt is given. When the time step size Dt 3 0, the space step size Dx Qa2S 0 BC k where Q is discharge, S 0 is bed slope, B is channel width and C k is kinematic wave celerity, which is the same as the characteristic length proposed by Kalinin and Milyukov. The results of application to two cases show that the mixing cell and linear channel ¯ow routing methods produce hydrographs that are in agreement with the observed ¯ood hydrographs. # 1997