Self-similar solutions of shallow water equations with porosity
(2023) Journal of Hydraulic Research ā Vol. 61, nĀ° 1, p. 109-119 (2023)
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- Abstract
- 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. Verifying it experimentally is thus of salient importance. New dam-break flow laboratory experiments are reported, where two different configurations of idealised 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.
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Citations
Guinot, V., Delenne, C., & Soares Frazao, S. (2023). Self-similar solutions of shallow water equations with porosity. Journal of Hydraulic Research, 61(1), 109-119. https://doi.org/10.1080/00221686.2022.2106598 (Original work published 2023)