On Suitable Grid Resolution in the Wall-Parallel Directions for a Direct Numerical Simulation of Wall Turbulence using a Second-Order Finite Difference Method.

Abstract

This paper aims to discuss suitable grid resolution for a direct numerical simulation (DNS) of wall-bounded turbulence using a finite difference method (FDM). All spatial derivatives are approximated by a second-order central difference. The fully-developed turbulence statistics in a turbulent flow near a flat wall is evaluated using the FDM. The accuracy of the DNS based on the finite difference approximation is confirmed by the DNS database evaluated by a spectral method (Kasagi, N. et al. ASME J. Heat Transf. 114, (1992), 598). In order to discuss the effect of the grid resolution in both the streamwise and spanwise directions, the numbers of grid points in these directions are reduced. The effect of the grid resolution on the fully-developed turbulence statistics near the wall is finally discussed.