skip to content

NASA Logo

Langley Research Center

Turbulence Modeling Resource


 

 

Jump to: SA ResultsSA-RC ResultsSSTm ResultsSST-Vm ResultsSSG/LRR-RSM-w2012 ResultsK-kL-MEAH2015m ResultsEASMko2003-S ResultsK-e-Rt Results

Return to: NACA 0012 Validation Intro Page

Return to: Turbulence Modeling Resource Home Page


 

2D NACA 0012 Airfoil Validation Case

Wilcox2006-klim-m Model Results
 

Link to Wilcox2006-klim-m equations

Wilcox2006-klim-m - CL vs alpha Wilcox2006-klim-m - CD vs CL

Wilcox2006-klim-m - Cp vs x/c at alpha=0 Wilcox2006-klim-m - Cf vs x/c at alpha=0

Wilcox2006-klim-m - Cp vs x/c at alpha=10 Wilcox2006-klim-m - Cf vs x/c at alpha=10

Wilcox2006-klim-m - Cp vs x/c at alpha=15 Wilcox2006-klim-m - Cf vs x/c at alpha=15

Previously on this page the results were reported as Wilcox2006-klim solutions, but more properly they should be referred to as Wilcox2006-klim-m. Essentially no difference is expected.

Note that thorough grid studies were not performed for validation cases such as this one. Some effort was made to ensure reasonable grid resolutions, but there may still be small noticeable discretization errors. Therefore, these validation results shown should be considered representative, but not "truth." (See the NACA 0012 Numerical Analysis Case for a representative verification exercise of this airfoil case.)

Above Wilcox2006-klim-m results are from CFL3D and FUN3D on the 897x257 grid. Both CFL3D and FUN3D used freestream turbulence intensity=0.052% and freestream turbulent viscosity (relative to laminar)=0.009 (additional details can be found in the CFL3D User's Manual, Appendix H). Please read note 5 on Notes on running CFD page. Results are overall very close between the two codes, with the largest difference seen in drag at alpha=15 deg (4% difference). These discrepancies between codes are due to discretization errors, boundary condition differences, and/or possible code-to-code implementation-detail differences. See NACA 0012 Numerical Analysis Page for more discussion about numerical issues associated with the NACA 0012 airfoil case. Note that these are compressible code results at "essentially incompressible" conditions of M=0.15. There may be a very small influence of compressibility. Only the CFD data files from CFL3D are given here for reference: n0012clcd_cfl3d_w06.dat, n0012cp_cfl3d_w06.dat, and n0012cf_cfl3d_w06.dat. A typical CFL3D input file is: n0012_cfl3d_typical_w06.inp. A typical FUN3D input file is: fun3d.nml_typical_w06_2.

Note that this model is currently assigned MRR Level 2 for the purposes of this website. This is because at this time the TMBWG has results for this model from two different codes from the same home organization. The results on this page are therefore not necessarily reliable until additional independent code(s) can be used to verify the model implementation.

CODE
CL (alpha=0)
CL (alpha=10)
CL (alpha=15)
CD (alpha=0)
CD (alpha=10)
CD (alpha=15)
CFL3D
approx 0
1.0958
1.5686
0.00854
0.01259
0.02054
FUN3D
approx 0
1.1012
1.5741
0.00837
0.01297
0.02139

 

Behavior of model near CLmax:

The behavior of the Wilcox2006-klim-m model near maximum lift for this 2-D case is shown in the following plots (CFL3D only). The cases were run every 1 deg (starting at 15 deg.), at least until CL,max was approximately attained. Note that the highest angle of attack run (alpha=21) did not converge well in this case. An approximate CL,max range from experiments (McCroskey, AGARD CP-429, July 1988; also NASA TM 100019, October 1987) is highlighted in the first plot by green dashed lines. Note, however, that experimental data near maximum lift no doubt contains a significant degree of three-dimensionality. Also, these CFD results are still on the 897x257 grid, and there is likely to be significantly more grid sensitivity for the higher angles of attack than for the lower angles of attack shown above. Therefore, the results below should only be viewed qualitatively.

Wilcox2006-klim-m - CL vs alpha near CLmax Wilcox2006-klim-m - CD vs CL near CLmax


 
 

Jump to: SA ResultsSA-RC ResultsSSTm ResultsSST-Vm ResultsSSG/LRR-RSM-w2012 ResultsK-kL-MEAH2015m ResultsEASMko2003-S ResultsK-e-Rt Results

Return to: NACA 0012 Validation Intro Page

Return to: Turbulence Modeling Resource Home Page


 
 


Recent significant updates:
01/30/2019 - added CFL3D data files; minor correction on CFL3D's CD value at alpha=0
08/06/2015 - updated CL and CD plots, which were missing the FUN3D symbols

Privacy Act Statement

Accessibility Statement

Responsible NASA Official: Ethan Vogel
Page Curator: Clark Pederson
Last Updated: 03/04/2025