Mathematical modelling of flow around obstacles with complex geometric configuration in a viscous incompressible medium

Abstract

In this paper, we numerically investigate flow around obstacles with complex geometric configuration in a viscous incompressible environment. The Navier-Stokes equations were used to modeling the flow around obstacles with complex geometric configuration. The numerical algorithm was constructed by using projection method. At the first stage the intermediate speed is determined by the 5-step Runge-Kutta method. At the second stage the results of intermediate velocity used to determine the pressure field. Poisson equation for the pressure field is solved numerically by using the Jacobi method. The numerical algorithm is tested at flow around the square cylinder and compared with experimental data, which gives good results. Also, in this work simulated non-stationary flow around one and two cylinders obstacles arranged opposite each other.