Numerical Modeling of Plane Two-Dimensional Flow-Sediment Movement in Inland and Heavy Sediment-Carrying Rivers

Abstract

The mathematical model of plane two-dimensional flow-sediment in continental sediment-laden river is established in this paper. The two-dimensional model equation is discreted with finite element method and coefficient matrix of ordinary differential equation is approximately dealt with mass-concentration principle, then solve the set of ordinary differential equations with the difference scheme which is first prediction, then correctness and iteration, the stability of this calculation process is better and the efficiency of calculation is comparatively high. The two-dimensional model is applied in numerical modeling of the flow-sediment movement of Yerqiang river middle courses, compared the numerical results with the measured data, which indicates that the numerical results are in good agreement with the measured data, which also prove the reliability and adaptability of the model and calculated method.