MODEL OF COHESIVE SOIL EROSION AND SURFACE WAVE MOTION

Abstract

Non-stationary inhomogeneous system of Navier–Stokes equations with variable viscosity depending on the density for modeling the processes of cohesive soil erosion and surface wave propagation has been used. 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.

Keywords

• navier-stokes, cohesive soil erosion, surface wave propagation, variable viscosity, variable density, inhomogeneous fluid, two-component fluid