Re-assessment of the optimum Yoshizawa model constants by using high accuracy finite difference scheme

Abstract

A non equilibrium fixed parameter subgrid scale model obeying with the near wall asymptotic constraint was proposed by Yoshizwa. In this research Yoshizawa model with two model constants which were optimized by using 2nd order finite difference scheme, was re assessed by using 4th order finite difference scheme proposed by Morinishi. And Yoshizawa model with the optimized model constants was applied to channel flows R_τ = 180,395,590. 4th order finite difference scheme improved the accuracy of numerical simulation in Streamwise mean velocity and GS turbulent intensity. And Yoshizawa model was better in the accuracy of numerical simulation than Smagorinsky model in 4th order finite difference scheme.