The influence of turbulence model and numerical technique on RANS computations is discussed in the case of turbulent boundary layer flow on a flat plate. In particular, results are presented for a centered scheme with artificial dissipation and a ENO-type scheme with the Baldwin-Lomax and Spalart-Allmaras models. First, in an a priori analysis, the truncation errors are evaluated under the assumption of parallel Couette flow and some conclusions about mesh optimization and scheme performance are drawn. Then, the a posteriori analysis for the numerical solution of turbulent boundary layer on a flat plate is performed. Grid Convergence Index and convergence rate analysis confirm the a priori results.

1.
Roache
,
P. J.
,
1997
, “
Quantification of Uncertainty in Computational Fluid Dynamics
,”
Annu. Rev. Fluid Mech.
,
29
, pp.
123
160
.
2.
Jameson, A., Schmidt, W., and Turkel, E., 1981, “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes,” AIAA Paper 81-1259.
3.
Jameson, A., 1985, “Multigrid Algorithms for Compressible Flow Calculations” MAE Report 1743, Princeton University, Princeton, NJ.
4.
Harten
,
A.
,
Engquist
,
B.
,
Osher
,
S.
, and
Chakravarthy
,
S. R.
,
1987
, “
Uniformly High Order Accurate Essentially Non-Oscillatory Schemes
,”
J. Comput. Phys.
,
71
, pp.
231
303
.
5.
Chorin
,
A.
,
1967
, “
A Numerical Method for Solving Incompressible Viscous Flow Problems
,”
J. Comput. Phys.
,
2
, pp.
12
26
.
6.
Brandt, A., 1984, “Multi-grid Techniques: 1984 Guide With Application to Fluid Dynamics,” The Weizmann Institute of Science, Rehovot (Israel).
7.
Favini
,
B.
,
Broglia
,
R.
, and
Di Mascio
,
A.
,
1996
, “
Multigrid Acceleration of Second Order ENO Schemes From Low Subsonic to High Supersonic Flows
,”
Int. J. Numer. Methods Fluids
,
23
, pp.
589
606
.
8.
Baldwin, B. S., and Lomax, H., 1978, “Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA Paper 78-257.
9.
Spalart
,
P. R.
, and
Allmaras
,
S. R.
,
1994
, “
A One-Equation Turbulence Model for Aerodynamic Flows
,”
La Recherche Ae´rospatiale
,
121
, pp.
5
21
.
10.
Di Mascio, A., Broglia, R., and Favini, B., 1998, “Numerical Simulation of Free-Surface Viscous Flow by ENO-Type Schemes,” 3rd Int. Conf. on Hydrod., Oct. 1998, Seoul, Korea.
11.
Schlichting, H., 1960, Boundary Layer Theory, McGraw-Hill, New York.
12.
Vinokur
,
M.
,
1983
, “
On One Dimensional Stretching Function of Finite Difference Calculations
,”
J. Comput. Phys.
,
50
, pp.
215
234
.
13.
Blottner
,
F. G.
,
1990
, “
Accurate Navier-Stokes Results for Hypersonic Flow Over a Spherical Nosetip
,”
J. Spacecr. Rockets
,
27
, pp.
113
122
.
You do not currently have access to this content.