Abstract
This paper introduces a numerical code, named MAGE and developed at INRAE Lyon, that is able to compute efficiently a flood propagation in a complex river network. MAGE solves the Barré-de-Saint–Venant equations using a finite difference method. It is applied to the Adour River located in the South–East of France. The Adour River is a tidal river with a pluvio-nival regime. It is characterized by a complex system of tributaries including mild-sloped tributaries (Upper Adour) and mountainous tributaries (Nive, Gave d’Oloron) and a significant influence of the tide in its downstream part. As a consequence, flood hazard is an important issue for the city of Bayonne located at the Adour-Nive confluence, approximately 6 km from the sea. The SPC (Flood Prevention Service) uses 1D modelling to possibly provide real time evaluation of the flood hazard (using the alertness colours) at Bayonne depending on a combination of upstream floods and tide. Presently, they used the 1D code MASCARET developed by EDF. A comparison is provided between results from MASCARET, MAGE, and water level measurements at different stations for typical floods. If both codes provide accurate results for a tidal regime at low discharge, they can deviate significantly for large flood where flood expansion zones are active. A system of storage area is implemented in the MAGE model to improve the model behaviour during large flood. Result accuracy are notably improved though some improvements could still be done locally. Eventually, results from MAGE code are significantly improved compared to those obtained with MASCARET. Also computation time are largely reduced; as an example, using a classic laptop (Intel Core i7, 7.7Go RAM), a 64 day time-series was modelled within 3 min using MAGE, against nearly 10 h using MASCARET. Thus, the MAGE model is a useful tool for real time modelling.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sandbach SD, Nicholas AP, Ashworth PJ, Best J, Keevil C, Parsons DR, Prokocki EW, Simpson CJ (2018) Hydrodynamic modelling of tidal-fluvial flows in a large river estuary. Estuar Coast Shelf Sci 212:176–188
Liu W-C, Hsu M-H, Kuo AY (2007) Three-dimensional hydrodynamic and salinity transport modelling of Danshuei River estuarine system and adjacent coastal sea Taiwan. Hydrol Process 21:3057–3071
Devkota J, Fang X (2015) Numerical simulation of flow dynamics in a tidal river under various upstream hydrologic conditions. Hydrological Sciences J. 60:1666–1689
Matte P, Secretan Y, Morin J (2017) Hydrodynamic modeling of the St. Lawrence fluvial estuary. I: Model setup, calibration, and validation. J Waterways Port Coastal Ocean Eng 143:1–15
Van Pham C, de Brye B, Deleersnijder E, Hoitink AJF, Sassi M, Spinewine B, Hidayat H, Soares-Frazão S (2016) Simulations of the flow in the Mahakam river–lake–deltasystem, Indonesia. Environ Fluid Mech 16:603–633
Guo L, van der Wegen M, Roelvink JA, He Q (2014) The role of river flowand tidal asymmetry on 1-D estuarine morphodynamics. J Geophys Res: Earth Surf 119:2315–2334
Canestrelli A, Lanzoni S, Fagherazzi S (2014) One-dimensional numerical modeling of the long-term morphodynamic evolution of a tidally-dominated estuary: the lower fly river (Papua New Guinea). Sed Geol 2014(301):107–119
DievalL, Chesneau S, Gallen R, Lacaze Y (2017) N’y a-t-il vraiment pas d’hydrométrie dans les secteurs sous influencemaritime ? [Does it worth it to gauge under tidal influence ?] SHF congress on Hydrometry, pp 1–8 (in French)
Barthélémy S (2015) Assimilation de donnés ensembliste et couplage de modès hydrauliques 1D-2D pour la prévision des crues en temps rél. Application au réseau hydraulique “Adour maritime”. University of Toulouse (in French)
Faure JB (2019) MAGE, Résolution des équations de Barré de St Venant 1D en réseaux complexes, Documentation théorique et mode d’emploi. Techreport (in French)
Nicollet G, Uan M (1979) Steady open channel flows in compund channels [Ecoulements permanents à surface libre en lits composés]. La Houille Blanche 1:21–30 (in French)
Dugué V, Walter C, Andries E, Launay M, Le Coz J, Camenen B, Faure JB (2015) Accounting for hydropower schemes’ operation rules in the 1D hydrodynamic modeling of the Rhône River from lake Genova to the Mediterranean sea. Proceedings 36th IAHR Congress, pp 1–8
Goutal N, Maurel F (2002) A finite volume solver for 1D shallow water equations applied to an actual river. Int J Numer Meth Fluids 2002(38):1–19
Defontaine S (2019) Saline structure, circulation and suspended sediment transport in a channelized salt-wedge estuary: the Adour river estuary. Ph.D. thesis, Université de Pau et des Pays de l’Adour
Defontaine S, Sous D, Morichon D, Verney R, Monperrus M (2019) Hydrodynamics and SPM transport in an engineered tidal estuary: the Adour river (France). Estuar Coast Shelf Sci 213:1–14
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Camenen, B., Faure, JB., Décanis, S., Dieval, L. (2022). A 1D Numerical Tool for Real Time Modelling of a Complex River Network. In: Gourbesville, P., Caignaert, G. (eds) Advances in Hydroinformatics. Springer Water. Springer, Singapore. https://doi.org/10.1007/978-981-19-1600-7_3
Download citation
DOI: https://doi.org/10.1007/978-981-19-1600-7_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-1599-4
Online ISBN: 978-981-19-1600-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)