Abstracts

NIS participants

The mathematical modeling technique of a homogeneous ground wash-out process near separate obstacles imitating hydraulic engineering structures such as spur-dykes, bridge abutments and other is considered in the paper. The data on average velocities were obtained with the aid of a 3-D kinematic structure account in a channel strain zone near a structure for modelling purposes. The calculation for a set of a turbulent flow dynamics equations was performed by an iterative method with the preliminary velocity and pressure fields setting, and also by their consequent clarification with application of an approximating method based on quasispectral polynomials. The set of equations included the Reynolds equations, continuity, and also closing parities for turbulent shear stresses with k-equation were used. The stationary problem for a rectangular parallelepiped with the boundary conditions of the first kind is considered in the given paper. Calculations of bottom shear stresses, bottom deformation intensities and the bottom position in time were made on the basis of velocity and pressure fields. The model of the bottom deformation consists of the convective - diffusion equation for homogeneous relatively small-sized partiсles transfer description and of the rigid material balance equation which relates to the bottom surface considered as the free boundary of the domain.

Note. Abstracts are published in author's edition

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