A finite volume solver for 1D shallow‐water equations applied to an actual river

Gouta, N.; Maurel, François

doi:10.1002/fld.201

Cited by 95 publications

(54 citation statements)

References 7 publications

(4 reference statements)

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“…The strategy developed at EDF-RD is based on an external coupling method. Firstly, the hydraulic part of the system is solved by using the software MASCARET [12] and then the computed fluid quantities are sent to the software COURLIS [4] that solves the Exner equation. The fluid part and the solid one are coupled through the time evolution of the bottom level.…”

Section: Sediment Transport Modelling : a Major Issuementioning

confidence: 99%

Sediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models

et al. 2012

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Abstract. In this note we are interested in the modelling of sediment transport phenomena. We mostly focus on bedload transport and we do not consider suspension sediment processes. We first propose a numerical scheme for the classical Saint-Venant -Exner model. It is based on a relaxation approach for the whole system and it works with all sediment flux function. The stability of the scheme is investigated and some numerical tests are proposed. We exhibit that this coupled approach is more stable than the splitting approach that is mostly used in industrial softwares. Then we derive an original three layers model in order to overcome the difficulties that are encountered when using the classical Exner approach and we present a related relaxation model.

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Section: Sediment Transport Modelling : a Major Issuementioning

confidence: 99%

Sediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models

et al. 2012

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“…The results of testing will be shown in figures (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(16)(17)(18)(19)(20)(21).…”

Section: Verification Of the Numerical Methods By Test-casesmentioning

confidence: 99%

On some numerical methods for solving the 1-D Saint-Venant equations of general flow regime. Part 2: Verification and application

Hạnh¹,

Diep²,

Can³

2003

Vietnam J. Mech.

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ABSTRACT. In the Part 1 of this paper [l], some numerical methods for solving the 1-D Saint-Venant equations of general flow regime have been described. This Part of the paper presents the results of verification by various test problems, covering all of three flow regimes: sub-, trans-, and super-critical. The results show that the mixed approach (between pointwise and upwind) for source terms is better than the pointwise one and any mathematical transformation of source terms must be careful, since that can lead to nonphysical solutions. The Roe's approximation with the mixed technique for the source terms is used for a preliminary evaluation of the Son La -Hoa Binh dambreak problem.

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“…It was developed by the Laboratoire National d'Hydraulique et Environnement (LNHE) at Électricité de France (Goutal and Maurel 2002). MASCARET is used for the downstream part of the Garonne (a 60-km reach around Marmande).…”

Section: Hydraulic Modelsmentioning

confidence: 99%

Evaluation of Regional-Scale River Depth Simulations Using Various Routing Schemes within a Hydrometeorological Modeling Framework for the Preparation of the SWOT Mission

Häfliger

Martin

Boone

et al. 2015

Journal of Hydrometeorology

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 15734 ABSTRACTThe Surface Water and Ocean Topography (SWOT) mission will provide free water surface elevations, slopes, and river widths for rivers wider than 50 m. Models must be prepared to use this new finescale information by explicitly simulating the link between runoff and the river channel hydraulics. This study assesses one regional hydrometeorological model's ability to simulate river depths. The Garonne catchment in southwestern France (56 000 km 2 ) has been chosen for the availability of operational gauges in the river network and finescale hydraulic models over two reaches of the river. Several routing schemes, ranging from the simple Muskingum method to time-variable parameter kinematic and diffusive waves schemes, are tested. The results show that the variable flow velocity schemes are advantageous for discharge computations when compared to the original Muskingum routing method. Additionally, comparisons between river depth computations and in situ observations in the downstream Garonne River led to root-mean-square errors of 50-60 cm in the improved Muskingum method and 40-50 cm in the kinematic-diffusive wave method. The results also highlight SWOT's potential to improve the characterization of hydrological processes for subbasins larger than 10 000 km 2 , the importance of an accurate digital elevation model, and the need for spatially varying hydraulic parameters.

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A finite volume solver for 1D shallow‐water equations applied to an actual river

Cited by 95 publications

References 7 publications

Sediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models

Sediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models

On some numerical methods for solving the 1-D Saint-Venant equations of general flow regime. Part 2: Verification and application

Evaluation of Regional-Scale River Depth Simulations Using Various Routing Schemes within a Hydrometeorological Modeling Framework for the Preparation of the SWOT Mission

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