A new flow simulation methodology (FSM) for computing turbulent shear flows is presented. The development of FSM was initiated in close collaboration with C. Speziale (then at Boston University). The centerpiece of FSM is a strategy to provide the proper amount of modeling of the subgrid scales. The strategy is implemented by use of a “contribution function” which is dependent on the local and instantaneous “physical” resolution in the computation. This physical resolution is obtained during the actual simulation by comparing the size of the smallest relevant scales to the local grid size used in the computation. The contribution function is designed such that it provides no modeling if the computation is locally well resolved so that the computation approaches a direct numerical simulation in the fine grid limit, or provides modeling of all scales in the coarse grid limit and thus approaches an unsteady RANS calculation. In between these resolution limits, the contribution function adjusts the necessary modeling for the unresolved scales while the larger (resolved) scales are computed as in traditional large-eddy simulations (LES). However, a LES that is based on the present strategy is distinctly different from traditional LES in that the required amount of modeling is determined by physical considerations, and that state-of-the-art turbulence models (as developed for Reynolds-averaged Navier-Stokes) can be employed for modeling of the unresolved scales. Thus, in contrast to traditional LES based on the Smagorinsky model, with FSM a consistent approach (in the local sense) to the coarse grid and fine grid limits is possible. As a consequence of this, FSM should require much fewer grid points for a given calculation than traditional LES or, for a given grid size, should allow computations for larger Reynolds numbers. In the present paper, the fundamental aspects of FSM are presented and discussed. Several examples are provided. The examples were chosen such that they expose, on the one hand, the inherent difficulties of simulating complex wall bounded flows, and on the other hand demonstrate the potential of the FSM approach.

1.
Piomelli, U., 1994, “Large-Eddy Simulation of Turbulent Flows,” University of Illinois at Urbana-Champaign, TAM Report No. 767.
2.
Spalart
,
P. R.
,
2000
, “
Strategies for Turbulence Modelling and Simulations
,”
Int. J. Heat Fluid Flow
,
21
, pp.
252
263
.
3.
Boris
,
J.
,
Grinstein
,
F.
,
Oran
,
E.
, and
Kolbe
,
R.
,
1992
, “
New Insights Into Large Eddy Simulation
,”
Fluid Dyn. Res.
,
10
(
4–6
), pp.
199
228
.
4.
Fureby
,
C.
, and
Grinstein
,
F.
,
1999
, “
Monotonically Integrated Large Eddy Simulation of Free Shear Flows
,”
AIAA J.
,
37
(
5
), pp.
544
556
.
5.
Speziale, C. G., 1996, “Computing Non-equilibrium Turbulent Flows With Time-Dependent RANS and VLES,” 15th International Conference on Numerical Methods in Fluid Dynamics, Monterrey, CA.
6.
Speziale
,
C. G.
,
1998
, “
Turbulence Modeling for Time-Dependent RANS and VLES: A review
,”
AIAA J.
,
36
(
2
), pp.
173
184
.
7.
v. Terzi, D., and Fasel, H., 2002, “A New Flow Simulation Methodology Applied to the Turbulent Backward-Facing Step,” AIAA Paper No. 2002-0429 (invited paper).
8.
Gatski
,
T. B.
, and
Speziale
,
C. G.
,
1993
, “
On Explicit Algebraic Stress Models for Complex Turbulent Flows
,”
J. Fluid Mech.
,
254
, pp.
59
78
.
9.
Israel, D., and Fasel, H., 2002, “Numerical Investigation of Turbulent Separation Control Using Periodic Disturbances,” AIAA Paper No. 2002-0409.
10.
Batten, P., Goldberg, U., and Chakravarthy, S., 2000, “Sub-grid Turbulence Modeling for Unsteady Flow With Acoustic Resonance,” AIAA Paper No. 2000-0473.
11.
Cabot, W., 1996, “Near-Wall Models in Large Eddy Simulations of Flow Behind a Backward-Facing Step,” Center for Turbulence Research, annual research briefs.
12.
Cabot
,
W.
, and
Moin
,
P.
,
1999
, “
Approximate Wall boundary Conditions in the Large-Eddy Simulation of High Reynolds Number Flow
,”
Flow, Turbul. Combust.
,
63
, pp.
269
291
.
13.
Spalart, P. R., Jou, W-H., Strelets, M., and Allmaras, S. R., 1997, “Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach,” Advances in DNS/LES, 1st AFOSR Int. Conf. on DNS/LES.
14.
Squires, K., Forsythe, J., Morton, S. A., Strang, W. Z., Wurtzler, K. E., Tomaro, R. F., Grismer, M. J., and Spalart, P., 2002, “Progress on Detached-Eddy Simulation of Massively Separated Flows,” AIAA Paper No. 2002-1021.
15.
Meitz
,
H.
, and
Fasel
,
H.
,
2000
, “
A Compact-Difference Scheme for the Navier-Stokes Equations in Vorticity-Velocity Formulation
,”
J. Comput. Phys.
,
157
, pp.
371
403
.
16.
Bachman, C., 2001, “A New Methodology for the Numerical Simulation of Wall Bounded Turbulent Flows,” Ph.D. dissertation, University of Arizona.
17.
Murlis
,
J.
,
Tsai
,
H. M.
, and
Bradshaw
,
P.
,
1982
, “
The Structure of Turbulent Boundary Layers at Low Reynolds numbers
,”
J. Fluid Mech.
,
122
, pp.
13
56
.
18.
Spalart
,
P. R.
,
1988
, “
Direct Simulation of a Turbulent Boundary Layer Up to Reθ=1410,
J. Fluid Mech.
,
187
, pp.
61
98
.
19.
Launder
,
B. E.
, and
Rodi
,
W.
,
1983
, “
The Turbulent Wall Jet—Measurements and Modeling
,”
Annu. Rev. Fluid Mech.
,
15
, pp.
429
459
.
20.
Katz
,
Y.
,
Horev
,
E.
, and
Wygnanski
,
I.
,
1992
, “
The Forced Turbulent Wall Jet
,”
J. Fluid Mech.
,
242
, pp.
577
609
.
21.
Seidel, J., and Fasel, H., 2000, “Numerical Investigations of Forced Turbulent Wall Jets,” AIAA Paper No. 2000-2317.
22.
Eriksson
,
J. G.
,
Karlsson
,
R. I.
, and
Persson
,
J.
,
1998
, “
An Experimental Study of a Two-Dimensional Lane Turbulent Wall Jet
,”
Exp. Fluids
,
25
, pp.
50
60
.
23.
Zhang, H. L., Bachman, C., and Fasel, H., 2000, “Application of a New Methodology for Simulations of Turbulent Flows,” AIAA Paper No. 2000-2535.
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