Mathematical analysis of the Saint-Venant-Hirano model for mixed-sediment morphodynamics

Sediment of different size are transported in rivers under the action of flow. The first and still most popular sediment continuity model able to deal with mixed sediment is the so-called active layer model proposed by Hirano (1971, 1972). In this paper, we consider the one-dimensional hydromorphodynamic model given by the Saint-Venant equations...

The effect of river dunes on the morphodynamic response to overloading

A new two-layer model for conservation of mixed sediment for bedform-dominated condi-tions is proposed. There is a need for such a new bedlayer-type sediment conservation model, as (i) the commonly applied Hirano (1971) model does not account for the effects of bedform stochastics and ver-tical sorting on bed level changes, (ii) the Ribberink...