Shallow Water Problems and Material Transport

Dear Colleagues,

Runoffs in rivers, canals, and coastal areas are often accompanied by the transport of various sediments or slurries. This transport may be the transport of suspended sediments, transport by bedload, or multiphase transport. In natural flowing waters, erosion and sedimentation processes alternate continuously and characterize the bedload regime of the stretch of stream. In wastewater transport type flows, the multiphase aspect is to be considered, and the rheology of the fluids should be studied closely. This type of flow is generally represented by shallow water models. Saint–Venant equations, however, represent complex flows rather imperfectly (variation in the density of the fluid, stratification of velocities according to the vertical). Likewise, the rheology of complex fluids (granular aspects, presence of several phases, high viscosity) is represented by models which are particularly difficult to handle. The objective here is to propose innovative models and numerical methods combining relative simplicity with high efficiency to represent these different types of flows accurately.

Prof. Dr. Fayssal Benkhaldoun
Guest Editor

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