(en) To consider both bed and bank erosion due to a dam-break induced wave, a bank-failure operator is inserted into a two-dimensional two-layer shallow-water model. This model considers an upper layer made of clear water and a lower layer made of a mixture of water and moving grains. These layers flow on a motionless bed and are assumed to present distinct depth-averaged velocities. The model accounts for the grain entrainment across the bed interface and for the mass and momentum exchanges between the flowing layers. This model is solved by a first-order finite-volume scheme on an unstructured triangular mesh. The bank-failure operator consists in comparing locally for each computational cell the bed inclination to the sediment stability angles, considering the impact of a water-level rise as a destabilizing phenomenon. The numerical model is tested for a collapsing circular hole and against laboratory tests of a dam-break flow.
Swartenbroekx, C., Zech, Y., & Soares Frazao, S. (2012). Transporte de la carga del fundo y erosion de las riberas en un modelo bidimensional para ondas consecutivas a la rotura de una presa. Memoria del XXV Congreso Latinoamericano de Hidraulica 2012. XXV Congreso Latinoamericano de Hidraulica 2012, San José, Costa Rica. https://hdl.handle.net/2078.5/51410