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One-Dimensional Model for Transient Flows Involving Bed-Load Sediment Transport and Changes in Flow Regimes |
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| Authors: | L. Goutière S. Soares-Fraz?o C. Savary T. Laraichi Y. Zech |
| Affiliation: | 1Ph.D. Student, Dept. of Civil Engineering, Hydraulics Unit, Univ. Catholique de Louvain, Place du Levant 1, B-1348 Louvain-la-Neuve, Belgium. E-mail: goutiere@gce.ucl.ac.be. 2Research Associate, Fond National de la Recherche Scientifique, and Dept. of Civil Engineering, Hydraulics Unit, Univ. Catholique de Louvain, Place du Levant 1, B-1348 Louvain-la-Neuve, Belgium. 3Ph.D. Student and Research Assistant, Dept. of Civil Engineering, Hydraulics Unit, Univ. Catholique de Louvain, Place du Levant 1, B-1348 Louvain-la-Neuve, Belgium. 4Graduate Student, Dept. of Civil Engineering, Hydraulics Unit, Univ. Catholique de Louvain, Place du Levant 1, B-1348 Louvain-la-Neuve, Belgium. 5Professor, Dept. of Civil Engineering, Hydraulics Unit, Univ. Catholique de Louvain, Place du Levant, 1, B-1348 Louvain-la-Neuve, Belgium (corresponding author). E-mail: zech@gce.ucl.ac.be |
| Abstract: | This study presents a novel, simple, but rather accurate approximation of the eigenvalues of the system formed by the Saint-Venant–Exner equations, based on the comparison between eigenvalues for the complete system and eigenvalues for the water phase only. Moreover, a strategy is proposed to compute efficiently the intercell fluxes by properly adapting a Harten, Lax, and van Leer scheme for each equation. Two examples of transient transcritical flows are developed: the erosive migration of a knickpoint induced by an increase in the bed slope, and the evolution of a hydraulic jump over a mobile bed. |
| Keywords: | Shallow water Sediment transport Transcritical flow Bed load Eigenvalues Hydraulic jump |