NUMERICAL MODELLING OF SHALLOW-WATER FLOW IN HYDRODYNAMIC APPROXIMATIONS

Formulated a two-dimensional initial-boundary value problem of movement of water in the watershed. To derive the equations of motion were carried averaging summands in the depth flow and conditions of shallow flows were taken into account. The variational problem was built for it in discretization for spatial variables used finite element method and time - one-step recurrent scheme. For large Reynolds numbers built stabilization scheme based on functional bubbles by the method of least squares. Numerical results tested on test examples for different initial and boundary conditions, at different times and in selecting high values of Reynolds numbers.