@inproceedings{2c0a56cf50ad453eb0e9a60eae5301df,
title = "The use of relative celerities of bed forms to compute sediment transport in the Paran{\'a} River",
abstract = "In this work the problem of modelling movable bed flow is partially addressed by considering the relative magnitude of the celerities at which disturbances on the water surface and on the bed propagate. Part of the interest in computing bed forms celerities is to estimate the total sediment load transported by the Paran{\'a} River. To this end, the relative celerities implied by different transport formulae are determined by a linear stability analysis of the Exner approximation to the shallow-water equations. Then, nonlinear celerities are calculated numerically by perturbing the sediment load flowing into a uniform channel of similar slope and roughness as those encountered in the Paran{\'a} River. Finally, by matching numerical results with recorded field data of dune migration, a representative value of the total sediment load of the Paran{\'a} River is obtained.",
author = "Carlos Vionnet and Clelia Marti and Mario Amsler and Leticia Rodriguez",
year = "1998",
language = "English",
isbn = "1-901502-50-3",
volume = "249",
series = "IAHS-AISH Publication",
publisher = "International Association of Hydrologic Sciences",
number = "249",
pages = "399--406",
editor = "\{Summer \}, Wolfgang and Klaghofer, \{Eduard \} and Wei Zhang",
booktitle = "Modelling Soil Erosion, Sediment Transport and Closely Related Hydrological Processes: Proceedings of an International Symposium held at Vienna from 13 to 17 July 1998",
}