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Author(s): C. Swartenbroekx; S. Soares-Frazão; R. Staquet; Y. Zech
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Keywords: Bank failure; dam-break flow; erodible bed; finite-volume method; non-cohesive soil; shallow-water; unstructured mesh
Abstract: Bank failure in a stream generally originates from bed erosion at the bank toe. This research proposes a novel two-dimensional (2D) bank-failure operator, based on a simple local failure criterion and on the conservation of sediment mass. This operator is inserted into a 2D Saint-Venant–Exner model to simulate both bed and bank geomorphic processes and their interaction with the flow, especially during dam-break events. This shallow-water model is solved by a first-order finite-volume scheme on an unstructured triangular mesh. After an erosion or deposition update, the bed inclination is compared locally with the sediment stability angles, considering the impact of water-level rise. Assuming material homogeneity, the unstable bed elements are tilted around an appropriate axis of rotation, ensuring mass conservation. The numerical model is tested for a collapsing circular hole and against laboratory tests of a dam-break flow: first in a prismatic channel made of coarse sand and then over an initial bed step.
DOI: https://doi.org/10.1080/00221686.2010.481856
Year: 2010