THREE-DIMENSIONAL MODEL FOR NUMERICAL STUDY OF THE MOVEMENT OF A VISCOUS LIQUID ON THE ROUNDING OF AN OPEN CHANNEL

Abstract

The article considers the statistically stationary flow of a viscous incompressible liquid at the turn of an open inclined channel of a rectangular cross-section with large Reynolds numbers. A three-dimensional numerical model with a periodic boundary condition along the curvilinear axis of the main flow is proposed. Three-layer boundary conditions are placed on the wall and near the channel wall, and zero tangential voltage conditions are placed on the free surface. To solve the problem, the predictor-corrector scheme of the method of fractional steps by horizontal coordinates and with a cosine-oidal spectral function by vertical coordinate are used. A general algorithm for solving the problem with an isoperimetrically optimized cross-section parameter is compiled.