Two-Component Incompressible Fluid Model for Simulating the Cohesive Soil Erosion

摘要

Non-stationary inhomogeneous system of the Navier-Stokes equations with variable viscosity depending on the density has been used for modeling the process of the cohesive soil erosion. Value of the density has been determined by the convection-diffusion equation. For solving the obtained system we have used an algorithm consisting of the splitting scheme on physical factors and the predictor–corrector method. The system has been solved on the staggered grid by the grid method. The results of calculations for two-dimensional and three-dimensional problems are presented.