Investigation of Computational Accuracy in the Direct Numerical Simulation of Turbulent Channel Flow Using Finite-Difference Method

Abstract

To perform the DNS of turbulence with a sufficient accuracy, several conditions must be satisfied. Those are (1) spatial resolution high enough to resolve the smallest eddies, (2) computational domain large enough to capture the largest ediies and (3) discretization scheme accurate enough to integrate the governing equations with a sufficient accuracy. In the present study, the DNS of fully developed turbulent channel flow is performed with different mesh sizes, computational domains and discretization schemes. The obtained results are compared with each other. The effects of the factors are discussed quantitatively.