Three-dimensional mathematical modeling of local scour

This study gives a description and some applications of a three-dimensional mathematical model, through which the local scour holes around hydraulic structures can be simulated. This model calculates the flow field by solving the Reynolds-averaged Navier-Stokes equations with the widely-used k-e model for the turbulence closure. The local scour holes are assumed to take place in the form of bed load transport and modeled with a modified Ashida-Michiue formula. A finite volume method based on a moving unstructured mesh is employed in the formulation, which is able to resolve the flow and sediment transport in complex geometries with changeable boundaries. This is of significant meaning for engineering practices. The model is applied to predict two laboratory experiments. It is shown that the local sour profiles, together with the flow characteristics, have been reasonably reproduced.

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