A well-balanced approach for flows over mobile-bed with high sediment-transport

Rosatti, Giorgio; Fraccarollo, Luigi

doi:10.1016/j.jcp.2006.05.012

Cited by 55 publications

(81 citation statements)

References 24 publications

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“…It should be stressed that the finite volume method described in this paper can be applied to other forms of sediment transport fluxes without major conceptual modifications. For instance, the bed-load sediment transport functions proposed in [20,21] can also be handled by the proposed finite volume method. For simplicity in presentation, Equations (1) and (2) can be rearranged in a system of conservation laws with source term as…”

Section: Equations For the Morphodynamic Modelmentioning

confidence: 99%

A two‐dimensional finite volume morphodynamic model on unstructured triangular grids

Benkhaldoun

Sahmim

Seaı̈d

2010

Numerical Methods in Fluids

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SUMMARYWe discuss the application of a finite volume method to morphodynamic models on unstructured triangular meshes. The model is based on coupling the shallow water equations for the hydrodynamics with a sediment transport equation for the morphodynamics. The finite volume method is formulated for the quasi-steady approach and the coupled approach. In the first approach, the steady hydrodynamic state is calculated first and the corresponding water velocity is used in the sediment transport equation to be solved subsequently. The second approach solves the coupled hydrodynamics and sediment transport system within the same time step. The gradient fluxes are discretized using a modified Roe's scheme incorporating the sign of the Jacobian matrix in the morphodynamic system. A well-balanced discretization is used for the treatment of source terms. We also describe an adaptive procedure in the finite volume method by monitoring the bed-load in the computational domain during its transport process. The method uses unstructured meshes, incorporates upwinded numerical fluxes and slope limiters to provide sharp resolution of steep bed gradients that may form in the approximate solution. Numerical results are shown for a test problem in the evolution of an initially hump-shaped bed in a squared channel. For the considered morphodynamical regimes, the obtained results point out that the coupled approach performs better than the quasi-steady approach only when the bed-load rapidly interacts with the hydrodynamics.

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Section: Equations For the Morphodynamic Modelmentioning

confidence: 99%

A two‐dimensional finite volume morphodynamic model on unstructured triangular grids

Benkhaldoun

Sahmim

Seaı̈d

2010

Numerical Methods in Fluids

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“…In the particular, accurate computational modelling approaches have been recently proposed either in a 1-D or in a 2-D setting (e.g. Rosatti and Fraccarollo, 2006;Rosatti et al, 2013), considering the very relevant case of flows of water-sediments mixture without cohesive properties and, hence, with negligible fractions of clay and silt. Whereas plastic stresses may play a significant role due to significant fractions of clay and silt additional research efforts are still needed to computationally implement the most advanced rheological findings.…”

Section: Fluid Flow Processmentioning

confidence: 99%

A physical approach on flood risk vulnerability of buildings

Mazzorana

Simoni²,

Scherer³

et al. 2014

Hydrol. Earth Syst. Sci.

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Abstract. The design of efficient hydrological risk mitigation strategies and their subsequent implementation relies on a careful vulnerability analysis of the elements exposed. Recently, extensive research efforts were undertaken to develop and refine empirical relationships linking the structural vulnerability of buildings to the impact forces of the hazard processes. These empirical vulnerability functions allow estimating the expected direct losses as a result of the hazard scenario based on spatially explicit representation of the process patterns and the elements at risk classified into defined typological categories. However, due to the underlying empiricism of such vulnerability functions, the physics of the damage-generating mechanisms for a well-defined element at risk with its peculiar geometry and structural characteristics remain unveiled, and, as such, the applicability of the empirical approach for planning hazard-proof residential buildings is limited. Therefore, we propose a conceptual assessment scheme to close this gap. This assessment scheme encompasses distinct analytical steps: modelling (a) the process intensity, (b) the impact on the element at risk exposed and (c) the physical response of the building envelope. Furthermore, these results provide the input data for the subsequent damage evaluation and economic damage valuation. This dynamic assessment supports all relevant planning activities with respect to a minimisation of losses, and can be implemented in the operational risk assessment procedure.

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“…where (17)- (18), (20), (22) and rearranging the terms so as to solve for Q n+1 i+1/2 , the discrete E formulation of the momentum equation becomes…”

Section: The Discretization Of the Momentum Equation: The E Formulationmentioning

confidence: 99%

“…On the contrary, in finite-volume, Godunov approaches the C-property is achieved in presence of varying bathymetry only if the discretization is well balanced, that is, only if the pressure terms are considered in the solution of the Riemann problem used to evaluate the intercell fluxes (see e.g. [21] or [22,23] for the mobile-bed case), or if particular care is posed in discretizing the source terms (see e.g. [15,[24][25][26][27]).…”

Section: C-propertymentioning

confidence: 99%

An accurate and efficient semi‐implicit method for section‐averaged free‐surface flow modelling

Rosatti

Bonaventura

Deponti

et al. 2011

Numerical Methods in Fluids

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SUMMARYAn accurate, efficient and robust numerical method for the solution of the section-averaged De St. Venant equations of open channel flow is presented and discussed. The method consists in a semi-implicit, finitevolume discretization of the continuity equation capable to deal with arbitrary cross-section geometry and in a semi-implicit, finite-difference discretization of the momentum equation. By using a proper semiLagrangian discretization of the momentum equation, a highly efficient scheme that is particularly suitable for subcritical regimes is derived. Accurate solutions are obtained in all regimes, except in presence of strong unsteady shocks as in dam-break cases. By using a suitable upwind, Eulerian discretization of the same equation, instead, a scheme capable of describing accurately also unsteady shocks can be obtained, although this scheme requires to comply with a more restrictive stability condition. The formulation of the two approaches allows a unified implementation and an easy switch between the two. The code is verified in a wide range of idealized test cases, highlighting its accuracy and efficiency characteristics, especially for long time range simulations of subcritical river flow. Finally, a model validation on field data is presented, concerning simulations of a flooding event of the Adige river.

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A well-balanced approach for flows over mobile-bed with high sediment-transport

Cited by 55 publications

References 24 publications

A two‐dimensional finite volume morphodynamic model on unstructured triangular grids

A two‐dimensional finite volume morphodynamic model on unstructured triangular grids

A physical approach on flood risk vulnerability of buildings

An accurate and efficient semi‐implicit method for section‐averaged free‐surface flow modelling

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