Slavinskа O. The theory and methods for predicting an erosion in the bridge zone influence

This thesis presents a new solution of scientific problems is to develop theory and methods for predicting general and local erosions in the bridge zone, that are based on the provisions of the mechanics of inhomogeneous medium. Proposed a system of equations describing the dynamics of the main suspensions bearing thickness open flow, that based on the general equation of inhomogeneous flow. For the closure of the system the model of turbulence adapted. On the concept discrete, received a mathematical model for the river bottom area of channel flow, which apart described: the movement of solid phase; movement of the liquid phase together with the closure equations that take into account the state of flow and the lag of river bed structures. For rivers floodplain areas proposed system of equations, which depends on the suspension presence and resistance depend from of vegetation on the flow dynamics. Under these conditions developed complex of closure models. To implement the proposed system models in combination with balance equation for sediment and dependencies to determine the depths of erosion on the floodplain used in modern numerical methods with some adaptation to class of problems considered.