Ostapenko A. Modeling of the viscous flow with the lattice Boltzmann method at moderate and large Reynolds numbers

The dissertation is devoted to theoretical and practical aspects of the lattice Boltzmann method. This method uses a kinetic approach to model the viscous fluid flow. Fluid dynamics regarded as the movement of large particles, whose behavior is described by the kinetic theory of gases. Unlike classical methods, based on the numerical solution of the Navier - Stokes or Euler equations, researched method is based on the solution of the kinetic Boltzmann equation. In the dissertation research, the lattice Boltzmann method is developed for obtaining stable solutions with less computational time in the viscous fluid flows modeling at moderate and large Reynolds numbers. A software-modeling system for computer simulation of the viscous fluid flows in arbitrary domains has been created. The simulation results can be obtained in the form of tables of velocity values, both throughout the computational area and in cross-sections, in the form of color diagrams, streamlines and in the form of values of hydrodynamic coefficients of streamlined bodies.