On integral and differential porosity models for urban flooding simulation

Varra, Giada; Pepe, Veronica; Cimorelli, Luigi; Morte, Renata Della; Cozzolino, Luca

doi:10.1016/j.advwatres.2019.103455

Cited by 22 publications

(20 citation statements)

References 45 publications

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“…In particular, they concluded that the conveyance porosity ψ, which accounts for building obstruction to the flow, must be smaller than the storage porosity φ; otherwise, wave celerities larger than in the case without obstruction would be obtained, which appears unphysical [11,38]. Nonetheless, this constraint was recently questioned by Varra et al (2020) [42], who proposed another differential equivalent of the IP model, as detailed in Section 4.4. According to [42], the differential analogs considered earlier cannot be used to evaluate wave celerities of the IP model.…”

Section: Integral Porosity Modelmentioning

confidence: 99%

“…Nonetheless, this constraint was recently questioned by Varra et al (2020) [42], who proposed another differential equivalent of the IP model, as detailed in Section 4.4. According to [42], the differential analogs considered earlier cannot be used to evaluate wave celerities of the IP model.…”

Section: Integral Porosity Modelmentioning

confidence: 99%

“…In a recent theoretical contribution, Varra et al (2020) [42] introduced the binary single porosity model (BSP model), a novel local, differential porosity model formulation derived regardless of the existence of a REV. The BSP model adopts the same mathematical formulation as the SP model, the REV-based porosity parameter of the SP model being replaced by a binary indicator (equal to unity in the water and to zero in the obstacles).…”

Section: Binary Single Porosity Modelmentioning

confidence: 99%

“…Varra et al (2020) [42] claim that a suitable Riemann solver has the potential to take into account energy loss due to wave reflections, hence reducing the need to resort to additional drag terms. In addition, additional stationary dissipation is needed through porosity reductions in supercritical flow.…”

Section: Binary Single Porosity Modelmentioning

confidence: 99%

“…Considering a porosity value variable from one cell to another in the SP model enables reproducing preferential flow paths and hence anisotropy. These models can be regarded as particular applications of the binary single porosity model recently proposed by Varra et al (2020) [42] and described in Section 4.4.…”

Section: Introducing Anisotropy: Directional Drag Multiple Porosity mentioning

confidence: 99%

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Porosity Models for Large-Scale Urban Flood Modelling: A Review

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In the context of large-scale urban flood modeling, porosity shallow-water models enable a considerable speed-up in computations while preserving information on subgrid topography. Over the last two decades, major improvements have been brought to these models, but a single generally accepted model formulation has not yet been reached. Instead, existing models vary in many respects. Some studies define porosity parameters at the scale of the computational cells or cell interfaces, while others treat the urban area as a continuum and introduce statistically defined porosity parameters. The porosity parameters are considered either isotropic or anisotropic and depth-independent or depth-dependent. The underlying flow models are based either on the full shallow-water equations or approximations thereof, with various flow resistance parameterizations. Here, we provide a review of the spectrum of porosity models developed so far for large-scale urban flood modeling.

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