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Dispersive and dispersive-like bores in channels with sloping banks

Abstract : In this paper, a detailed analysis of undular bore dynamics in channels of variable cross-section is presented. Two undular bore regimes, Low Froude Number (LFN) and High Froude Number (HFN), are simulated with a Serre-Green-Naghdi model, and the results are compared with the experiments by Treske. We show that contrary to Favre waves and HFN bores, which are controlled by dispersive non-hydrostatic mechanisms, LFN bores correspond to a hydrostatic phenomenon. The dispersive-like properties of the LFN bores is related to wave refraction on the banks in a way similar to that of edge waves in the nearshore. A fully hydrostatic asymptotic model for these dispersive-like bores is derived and compared to the observations, confirming our claim
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Submitted on : Tuesday, May 14, 2019 - 6:22:05 PM
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Rémi Chassagne, Andrea Gilberto Filippini, Mario Ricchiuto, Philippe Bonneton. Dispersive and dispersive-like bores in channels with sloping banks. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2019, 870, pp.595-616. ⟨10.1017/jfm.2019.287⟩. ⟨hal-02129315⟩

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