Baranovs'kyj S. Mathematical modeling of incoherent sand bottom deformation processes of turbulence water flow

The object of research is the river bed deformation process under the influence of a turbulent flow. The aim of the research is working out the methods of mathematical modeling and research on the river bed deformation processes near hydrotechnical facilities. There has been constructed a mathematical model of incoherent sand river bed deformation process under the influence of a turbulent flow where the bottom surface is regarded as the domain boundary area varying in course of time. There has been worked out a step-by-step procedure of numeral-asymptotic approximation of appropriate model problems solutions. On this basis there has been carried out research on the river bed deformation process near some types of hydrotechnical facilities. The branch of using is a designing of hydrotechnical facilities, the modeling of hydraulic processes.