Steady transcritical flow over a hole Steady transcritical flow over a hole: parametric map of solutions of the forced Korteweg-de Vries equation
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Steady transcritical flow over a hole: parametric map of solutions of the forced Korteweg-de Vries equation Bernard K. Ee, a) R. H. J. Grimshaw, b) D-H. Zhang, c) and K. W. Chow d) Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia Department of Mathematical Sciences, Loughborough University, UK Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong
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Transcritical flow over a hole
Transcritical flow over a localised obstacle generates upstream and downstream nonlinear wavetrains. In the weakly nonlinear long-wave regime, this flow has been modeled with the forced Korteweg-de Vries equation, where numerical simulations and asymptotic solutions have demonstrated that the upstream and downstream nonlinear wavetrains have the structure of unsteady undular bores, connected by...
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(Received ?? and in revised form ??) It is well-known that transcritical flow over a localised obstacle generates upstream and downstream nonlinear wavetrains. The flow has been successfully modeled in the framework of the forced Korteweg-de Vries equation, where numerical and asymptotic analytical solutions have shown that the upstream and downstream nonlinear wavetrains have the structure of ...
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