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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 theoretical model allowing to describe these dispersive-like bores is derived and compared to the observations, confirming our claim.
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https://hal.inria.fr/hal-01938547
Contributor : Mario Ricchiuto <>
Submitted on : Friday, November 30, 2018 - 8:24:34 PM
Last modification on : Thursday, July 8, 2021 - 12:30:01 PM

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  • HAL Id : hal-01938547, version 2

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Rémi Chassagne, Andrea Gilberto Filippini, Mario Ricchiuto, Philippe Bonneton. Dispersive and dispersive-like bores in channels with sloping banks. [Research Report] RR-9228, Inria Bordeaux Sud-Ouest. 2018. ⟨hal-01938547v2⟩

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