Abstract

This paper deals with finite difference direct simulations of turbulent flows. Navier Stokes equations are written in a velocity-pressure formulation. The discretization is based upon a semi-implicit finite-difference method with a non-staggered arrangement of variables. Special attention is focused on the discretization of pressure gradient and divergence terms in order to cope with the discrete incompressibility constraint. Numerical results are related to the study of the isothermal turbulent channel flow with a turbulent Reynolds number of 180. They are compared with various experiments and Mansour et al's spectral simulation results. Ability of the method to simulate turbulent flows is discussed.

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