Article Dans Une Revue Journal of Hydraulic Research Année : 2023

Self-similar solutions of shallow water equations with porosity

Résumé

Simulated free surface transients in periodic urban layouts have been reported to be self-similar in the space-time domain when averaged on the scale of the building period. Such self-similarity is incompatible with the head loss model formulae used in most porosity-based shallow water models. Verifying it experimentally is thus of salient importance. New dam-break flow laboratory experiments are reported, where two different configurations of idealized periodic buildings layouts are explored. A space-time analysis of the experimental water level fields validates the self-similar character of the flow. Simulating the experiment using the two-dimensional shallow water model also yields self-similar period-averaged flow solutions. Then, the Single Porosity (SP), Integral Porosity (IP) and Dual Integral Porosity (DIP) models are applied. Although all three models behave in a similar fashion when the storage and connectivity porosities are close to each other, the DIP model is the one that upscales best the refined 2D solution.

Dates et versions

hal-03866031 , version 1 (24-11-2022)

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Vincent Guinot, Carole Delenne, Sandra Soares-Frazão. Self-similar solutions of shallow water equations with porosity. Journal of Hydraulic Research, 2023, 61 (1), pp.109-119. ⟨10.1080/00221686.2022.2106598⟩. ⟨hal-03866031⟩
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