Some Aspects of the Numerical Resolution of the Unsteady Incompressible Navier-Stokes Equations

Abstract

In this paper an iterative method to solve the unsteady incompressible Navier-Stokes equations in primitive variables are presented. The pressure problem is solved with the normal velocity as boundary condition, while the boundary normal pressure gradient is used to obtain' the velocity field. A finite volume method with a second-order approximation in
space and a second-order Crank-Nicolson in time are used to express the discrete equations. Numerical results for 2D steady and unsteady flow have shown a good performance of the proposed technique to resolve the gross features of the flow.