Finite Volume Scheme Simulation of Unsteady Flow in Channel with Different Macro Roughness: Application to Regular and Non Regular Canal with Sediment Transport

摘要

This paper is divided into two parts: The first part is the modeling of the kinetic energy dissipation provided by the flood wave in the presence of different geometric shape roughness along the canal. We use a new version of Roe scheme named SRNH written in finite volumes method. This is to model the spread of a flood wave along the canal equipped with regularly spaced identical grooves which plays the role of macro roughness. Water flow is simulated on three different geometrical shapes; a smooth rectangular channel, channel with roughness as rectangular and trapezoidal grooves, note that wet surfaces are the same for all three configurations. The purpose of this simulation is looking for the form that realizes the maximum kinetic energy dissipation provided by the flood wave. The second part consists of modeling the influence of sediment transport in the presence of macro roughness, it is assumed that the bed of the channel moves with the free surface of the water. The bed is composed of fine sand size. For sediment transport we use Meyer-Peter-Muller model. Finally we observe the influence of macro roughness on the transport and deposition of sediments.