Numerical Simulation Of2-d Non-homogeneous Current And Silt Sedimentation Model

Silt and sand will cause serious sedimentation in the rivers and reservoirs, and will bring serious influence to the hydraulic projects, the flood prevention, and people’s lives along the river bank, so it is necessary to forecast the change of river sediment and furthermore to regulate the change, The current and silt sedimentation model is an important research approaches for the problems。 We consider the following coupled system of the2-d non-homogeneous current and silt sedimentation model: Water continuity equation: Water dynamic equations: Silt transport equation: Bottom topography change equation:Here, Z and Zodenote the elevation of the upper surface and bottom to-pography;H=Z-Zo denotes the thickness of fluid column;(u.v) denoios the velocity:c is Chczy coefficient; c=n/1H6/1;n is roughness coefficient; γt is turbulent coefficient; S is the mass rate of sediment; S*is sediment-carrying capacity:ω is the falling speed of a sediment partial; Co is the diffusion coef-ficient of sediment:a is coefficient of saturation recovery:γ’is the density of dry sand。For the means used in the paper, with respect to the upwind finite ele-ment method:Tabata.M and Ikcda,T have proposed the upwind finite element method and the partial upwind finite clement method, which arc discussed for the convection diffusion problems, effectively overcoming the numerical oscillation。Using this method, we get the finite element scheme of the2-d non-homogeneous current and silt sedimentation model and the error esti-mates:With respect to upwind finite difference scheme:A modified two-order upwind finite difference scheme which is proposed by Yuan Yirang,is used in this paper。Then we get the scheme and the final conclusion:...