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2D Convex Curvature Boundary Layer Validation Case

Wilcox2006-klim-m Model Results
 

Link to Wilcox2006-klim-m equations

Wilcox2006-klim-m - Cp vs x Wilcox2006-klim-m - Cf vs x

Wilcox2006-klim-m - streamwise velocity upstream of curve Wilcox2006-klim-m - streamwise-aligned turbulent shear stress upstream of curve

Wilcox2006-klim-m - u velocity at 5 stations Wilcox2006-klim-m - turbulent shear stress at 5 stations

Wilcox2006-klim-m - Cf along top (concave) wall

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."

Above Wilcox2006-klim-m results are from two independent CFD codes: CFL3D and FUN3D (NASA LaRC, USA). Both CFL3D and FUN3D used freestream turbulence intensity=0.083% 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. They both use the same 513x193 grid. Both yield nearly identical results for all quantities. For the station at x=-0.166124 m, the parallel velocity component up is the velocity parallel to the wall (which is canted at 30 deg relative to Cartesian coordinates), and the up'vp' is taken with respect to the wall-normal and wall-parallel directions. The formulas for computing these rotated quantities from Cartesian quantities are:

where theta = 30 deg. The distance d is taken across the channel at this upstream location.

Although the main focus of this case is on the bottom (convex) wall region, top (concave) wall skin friction results from the 2-D computation are also shown in the last plot above.

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.

Note that the wall-shapes in the curved region have (unintentional) small oscillations in the second-derivative of the provided grids; these cause small oscillations in Cp and Cf near their peaks (not easily visible at the scales of the plots above).

Note that these are compressible code results at "essentially incompressible" conditions of M=0.093. There may be a very small influence of compressibility. A typical CFL3D input file is: smits_cfl3d_typical_w06.inp. A typical FUN3D input file is: fun3d.nml_typical_w06.


 
 

Jump to: SA ResultsSA-RC ResultsSSTm ResultsSST-RCm ResultsSSG/LRR-RSM-w2012 ResultsEASMko2003-S ResultsK-e-Rt-RC ResultsGLVY-RSM-2012 Results

Return to: 2D Convex Curvature Boundary Layer Case Intro Page

Return to: Turbulence Modeling Resource Home Page


 
 


Recent significant updates:
01/27/2015 - mention of oscillations in second derivative of wall shape in provided grids

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Last Updated: 03/13/2025