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physics.flu-dyn2020★ 13 cited
Multilayer models for shallow two-phase debris flows with dilatancy effects
José Garres-Díaz, François Bouchut, Enrique D. Fernández-Nieto +2
We present here a multilayer model for shallow grain-fluid mixtures with dilatancy effects. It can be seen as a generalization of the depth-averaged model presented in Bouchut et a…
physics.flu-dyn2015★ 26 cited
Formal deduction of the Saint-Venant-Exner model including arbitrarily sloping sediment beds and associated energy
E. D. Fernández-Nieto, T. Morales de Luna, G. Narbona-Reina +1
In this work we present a deduction of the Saint-Venant-Exner model through an asymptotic analysis of the Navier-Stokes equations. A multi-scale analysis is performed in order to t…