Grid-point and time-step requirements for direct numerical simulation and large-eddy simulation

We revisit the grid-point requirement estimates in Choi and Moin [“Grid-point requirements for large eddy simulation: Chapman’s revisited,” Phys. Fluids 24, 011702 (2012)] establish more general direct numerical simulations (DNS) large-eddy (LES) of a spatially developing turbulent boundary layer. show that by allowing local grid spacing to scale with Kolmogorov length scale, DNS layer is N?ReLx2.05 rather than N?ReLx2.64, as suggested Moin, where N number points Lx plate. In addition requirement, we estimate time-step LES. code treats convective term explicitly, time steps required get converged statistics are Nt?ReLx/Rex06/7 wall-modeled LES Nt?ReLx/Rex01/7 wall-resolved (with different prefactors), Rex0 inlet Reynolds number. The allow us overall cost According present estimates, costs DNS, LES, ReLx2.91, ReLx2.72, ReLx1.14, respectively.