Abstract
In this contribution we consider the application of the WENO scheme and the ILES method to simulations of 3D laminar and turbulent incompressible flow. As a test problem a 3D lid-driven cavity flow was modelled.
The results of the three dimensional Taylor-Green vortex example were carried out. For the low and high Reynolds numbers the case of flow past an obstacle were simulated.
The used model consists of the Navier -Stokes equations for the laminar flow and the continuity equation in the form for incompressible fluid flow. To solve the system of the equations the conservative high order methods were used.
The advection terms are reconstructed using the 5th order weighted essentially non oscillatory (WENO) scheme and the time evolution is solved by the application of the explicit TVD Runge-Kutta scheme. The ILES, as a turbulent model, was employed.