NUMERICAL SIMULATION OF ROLL WAVES IN OVERLAND FLOW OVER MOVABLE BED
可冲刷坡面滚波数值模拟研究

A numerical study on mobile bed hydraulics of roll waves with sediment transport and morphological evolution is presented. The governing equations of the model comprise the shallow water hydrodynamics equations closed with the Manning formulation for the boundary resistance. The second-order Total-Variation-Diminishing version of the Weighted-Average-Flux method, along with the HLLC approximate Reimann Solver, is used to solve the governing equations, which can properly capture shock waves and deal with irregular boundaries. Brock's laboratory experiments of roll waves in a fixed-bed channel are reproduced. Numerical simulations show the development and propagation of roll waves over mobile-bed. It is shown that the morphological evolution has a great effect on the roll waves' dynamic characteristics.