U. Piomelli, HIGH REYNOLDS-NUMBER CALCULATIONS USING THE DYNAMIC SUBGRID-SCALE STRESS MODEL, Physics of fluids. A, Fluid dynamics, 5(6), 1993, pp. 1484-1490
The dynamic subgrid-scale eddy viscosity model has been used in the la
rge-eddy simulation of the turbulent flow in a plane channel for Reyno
lds numbers based on friction velocity and channel half-width ranging
between 200 and 2000, a range including values significantly higher th
an in previous simulations. The computed wall stress, mean velocity, a
nd Reynolds stress profiles compare very well with experimental and di
rect simulation data. Comparison of higher moments is also satisfactor
y. Although the grid in the near-wall region is fairly coarse, the res
ults are quite accurate: the turbulent kinetic energy peaks at y+ cong
ruent-to 12, and the near-wall behavior of the resolved stresses is ca
ptured accurately. The model coefficient is o(10(-3)) in the buffer la
yer and beyond, where the cutoff wave numbers are in the decaying regi
on of the spectra; in the near-wall region the cutoff wave numbers are
nearer the energy-containing range, and the resolved turbulent stress
es become a constant fraction of the resolved stresses. This feature i
s responsible for the correct near-wall behavior of the model coeffici
ent. In the near-wall region the eddy viscosity is reduced to account
for the energy transfer from small to large scales that may occur loca
lly.