Flood propagation modeling with the Local Inertia Approximation: Theoretical and numerical analysis of its physical limitations

Cozzolino, Luca; Cimorelli, Luigi; Morte, Renata Della; Pugliano, Giovanni; Piscopo, V.; Pianese, Domenico

doi:10.1016/j.advwatres.2019.103422

Cited by 15 publications

(9 citation statements)

References 58 publications

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“…57 Numerous studies have used this test to comprehensively evaluate the numerical schemes. 42,54,58 It consists of a periodic motion of planar water surface in a parabolic basin…”

Section: Scenario Iii: Thacker Test Case (Analytical Solution)mentioning

confidence: 99%

Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces

Bhat,

Pahar

2023

Numerical Methods in Fluids

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The study of multilayered shallow water equations has developed from a consideration of immiscible layers as a vertical mesh to the layer bounds as imaginary extremes for vertical integration of the flow equations. In the current work, a quasi three‐dimensional flow model has been developed with the consideration of the spatiotemporal flexibility/variability of the pervious vertical discretization/layer ratios. Thus, in principle, vertical layering offers a nonuniform grid with a temporal variation. The system of equations thus formulated comprises a conservative part and the appended source/sink terms. These source/sink terms pertain to the inter‐layer interactions such as mass/momenta transfer and interfacial stress, which have been treated in a novel implicit form alongwith the subgrid‐scale eddy‐viscosity for interlayer shear. They are integrated into the system through different physical considerations so as to arrive at a well‐balanced numerical scheme in a regular finite volume grid. The model has been validated through the standard test‐cases highlighting the conservation properties and the model's adaptability to uniform and nonuniform vertical meshes alongwith the spatiotemporal transitions of layer ratios, with a specific interest in limiting cases of wet/dry fronts. The increase in layer ratios tends to nearly replicate the full‐scale model results in experimental scenarios at a lesser computational overhead.

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“…57 Numerous studies have used this test to comprehensively evaluate the numerical schemes. 42,54,58 It consists of a periodic motion of planar water surface in a parabolic basin…”

Section: Scenario Iii: Thacker Test Case (Analytical Solution)mentioning

confidence: 99%

Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces

Bhat,

Pahar

2023

Numerical Methods in Fluids

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“…In the present Sub-section, the mathematical and numerical LInA and Zero-Inertia models are presented. Despite the controversy about viability of the LInA model in flooding applications (Cozzolino et al 2019), this model is considered here because it is often applied after the decoupling of friction vector components.…”

Section: Mathematical and Numerical Modelsmentioning

confidence: 99%

Friction decoupling and loss of rotational invariance in 2D flooding models

Cozzolino

Varra

Cimorelli

et al. 2021

Advances in Water Resources

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“…Another possibility consists of simplifying the physical processes, for example, neglecting advection or inertia terms (Neal et al., 2012 ). While in general this seems to be a computationally very efficient alternative, efficiencies may drop for urban regions (Costabile et al., 2020 ) and for receding flows including wet‐dry boundaries (Cozzolino et al., 2019 ). Cozzolino et al.…”

Section: Introductionmentioning

confidence: 99%

“…Cozzolino et al. ( 2019 ) conclude that numerical issues in these problematic regions may originate from simplifying the shallow water equations (SWEs) while discretizations of the full SWEs are not subject to these limitations. Second‐order finite‐volume (FV) schemes (Audusse & Bristeau, 2005 ; Hou et al., 2015 ; Murillo et al., 2008 ) or discontinuous Galerkin (DG) schemes (Kesserwani et al., 2008 ; Shaw et al., 2021 ; Vater et al., 2017 ) offer additional accuracy, however at the cost of higher runtimes.…”

Section: Introductionmentioning

confidence: 99%

Locally Relevant High‐Resolution Hydrodynamic Modeling of River Floods at the Regional Scale

Buttinger‐Kreuzhuber

Waser

Cornel

et al. 2022

Water Resources Research

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This paper deals with the simulation of inundated areas for a region of 84,000 km 2 from estimated flood discharges at a resolution of 2 m. We develop a modeling framework that enables efficient parallel processing of the project region by splitting it into simulation tiles. For each simulation tile, the framework automatically calculates all input data and boundary conditions required for the hydraulic simulation on‐the‐fly. A novel method is proposed that ensures regionally consistent flood peak probabilities. Instead of simulating individual events, the framework simulates effective hydrographs consistent with the flood quantiles by adjusting streamflow at river nodes. The model accounts for local effects from buildings, culverts, levees, and retention basins. The two‐dimensional full shallow water equations are solved by a second‐order accurate scheme for all river reaches in Austria with catchment sizes over 10 km 2 , totaling 33,380 km. Using graphics processing units (GPUs), a single NVIDIA Titan RTX simulates a period of 3 days for a tile with 50 million wet cells in less than 3 days. We find good agreement between simulated and measured stage–discharge relationships at gauges. The simulated flood hazard maps also compare well with local high‐quality flood maps, achieving critical success index scores of 0.6–0.79.

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Flood propagation modeling with the Local Inertia Approximation: Theoretical and numerical analysis of its physical limitations

Cited by 15 publications

References 58 publications

Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces

Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces

Friction decoupling and loss of rotational invariance in 2D flooding models

Locally Relevant High‐Resolution Hydrodynamic Modeling of River Floods at the Regional Scale

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