Self-similar solutions of shallow water equations with porosity

Guinot, Vincent; Delenne, Carole; Frazao, Sandra Soares

doi:10.1080/00221686.2022.2106598

Cited by 3 publications

(4 citation statements)

References 25 publications

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“…In a very recent numerical study, self-similarity of turbulent stresses has been reported in a compressible ow over a convex wall (Wang et al 2023). Guinot et al (2023) have also documented self-similar distributions in experimentally obtained block-averaged water depths during urban ood events.…”

Section: Introductionmentioning

confidence: 62%

Influence of roughness height on the distribution of modeled turbulence statistics in non-aerated skimming flows in steep stepped spillways

Toro,

Blanc,

Moreno-Casas

et al. 2023

Preprint

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The stepped spillway design is widely used globally for its energy dissipation capabilities through its stepped design and air entrainment capacity, crucial for safe hydraulic structure operation. The most common condition found in stepped spillways is the skimming flow regime. This study numerically investigated the influence of the roughness height (KS) on the distribution of mean flow variables and modeled turbulence statistics in the non-aerated portion of a steep stepped spillway with a constant angle of 51.34°. Three roughness heights of 6.26, 3.13 and 1.57 cm were considered corresponding to a relation step height/horizontal length of 10/8, 5/4 and 2.5/2 (cm/cm), respectively. The results show that profiles of modeled turbulent kinetic energy (TKE) at different step edges can be collapsed into one single curve for relative roughness (Ks/h) smaller than 0.8. For larger ratios of roughness height to water depth, this behavior is not observed and for a given distance away from the wall, values of TKE show a broad range of values, with increasing values as boundary layer grows. A similar trend was obtained for the distribution of TKE along a water column that includes the cavity. The existence of an upper limit for the ratio between the roughness height and the water depth can now be incorporated in the hydraulic design of new steep stepped spillways.

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Section: Introductionmentioning

confidence: 62%

Influence of roughness height on the distribution of modeled turbulence statistics in non-aerated skimming flows in steep stepped spillways

Toro,

Blanc,

Moreno-Casas

et al. 2023

Preprint

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“…Hydraulic variables describing flow dynamics and directly involved in flood impact assessment were typically measured. Accordingly, flow depth and velocity time series were usually provided at selected locations both inside and around the city layout (e.g., [245,252,253]). Moreover, the measurement of hydrodynamic loads on buildings has received less attention [59].…”

Section: Discussion and Advancesmentioning

confidence: 99%

“…Experimental data from such experiments would better support the validation of urban flood simulation models, which have become increasingly sophisticated in recent years [341]. Among these numerical models, the coarse-grid ones (for example based on the porosity approach [248,252]) can provide accurate results preserving computational efficiency. Models of that type require such experiments in an idealized urban environment for their validation.…”

Section: Discussion and Advancesmentioning

confidence: 99%

Review of Experimental Investigations of Dam-Break Flows over Fixed Bottom

Aureli

Maranzoni

Petaccia

et al. 2023

Water

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Laboratory experiments of dam-break flows are extensively used in investigations of geophysical flows involving flood waves, to provide insight into relevant aspects of the physics of the process and collect experimental data for validating numerical models. A dam-break flow is a typical example of a highly unsteady free surface flow with high reproducibility. Indeed, dam-break experiments can be repeated several times under the same test conditions obtaining large amounts of different types of data (possibly using various measuring techniques) that can be combined in a single rich dataset. Moreover, laboratory tests on dam-break flows are widely considered a valuable benchmark for the validation of numerical models, since field data from historical events are scarce, sparse, and highly uncertain. However, no systematic review of laboratory investigations of dam-break flows and existing related datasets are available in the literature to provide a comprehensive overview of the test conditions considered, the measuring techniques used, and the experimental data collected. This review article aims to fill this gap, focusing on laboratory tests in schematic and idealized setups with a fixed, non-erodible bed. In particular, this review aims to help researchers and modelers to: (a) select the most appropriate laboratory tests for validating their numerical models; (b) facilitate access to databases by indicating relevant bibliographic references; (c) identify specific challenging aspects worthy of further experimental research; and (d) support the development of new or improved technologies for the mitigation of the impact of dam-break flood waves. The references reviewed are organized into tables according to the purposes of the laboratory investigation, and comprehensive information is provided on test conditions, datasets, and data accessibility. Finally, suggestions for future experimental research on dam-break flows are provided.

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“…An adequate description of built-up areas incompatible with a low spatial resolution (which is suitable for limiting calculation times, especially from the perspective of real-time applications) could be obtained by enhancing the capabilities of simplified approaches (e.g., porosity, 1D-2D coupling, etc.) [121], which therefore prove to be strategic and deserve further research.…”

Section: What Was Missingmentioning

confidence: 99%