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conference paper
Roll waves in floods on inclines
Bohorquez, P.
Garcia-Navarro, P.
•
Playan, E.
2007
Proceedings of Numerical Modelling of Hydrodynamics for Water Resources
The unstable nature of kinematic waves, resulting from outburst floods on steep inclines, is investigated theoretically using the shallow water equations. A numerical experiment is designed in order to efficiently perform a stability analysis. By analysing the linear and non-linear numerical evolution of small perturbations, it is possible to reveal how the nature of the ensuing flow depends not only on the Froude number but also on non-parallel and time-varying characteristics of the background flow. It is also demonstrated that these effects stabilize turbulent roll-waves and raise the critical Froude number required for instability.
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