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2D Convex Curvature Boundary Layer Validation Case

SA-RC Model Results
 

Link to SA-RC equations

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 SA-RC results are from three independent CFD codes: CFL3D and FUN3D (NASA LaRC, USA) and NTS (NTS, Russia). All three codes used freestream value of the SA turbulence field variable (relative to laminar)=3. Please read note 5 on Notes on running CFD page. They all use the same 513x193 grid. All codes yield nearly identical results for all quantities. For the station at x=-0.166124 m, the parallel velocity component u_p is the velocity parallel to the wall (which is canted at 30 deg relative to Cartesian coordinates), and the u_p'v_p' is taken with respect to the wall-normal and wall-parallel directions. The formulas for computing these rotated quantities from Cartesian quantities are:

• u_p = u*cos(theta) + v*sin(theta)
• u_p'v_p' = 0.5*(v'v'-u'u')*sin(2*theta) + u'v'*cos(2*theta)

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 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. Only the CFD data files from CFL3D are given here for reference: smits_cp_cfl3d_sarc.dat, smits_cf_cfl3d_sarc.dat, smits_u_upstream_cfl3d_sarc.dat, smits_uv_upstream_cfl3d_sarc.dat, smits_u_cfl3d_sarc.dat, smits_uv_cfl3d_sarc.dat, and smits_cftopwall_cfl3d_sarc.dat. A typical CFL3D input file is: smits_cfl3d_typical_sarc.inp. A typical FUN3D input file is: fun3d.nml_typical_sarc.

Jump to: SA Results,  SST Results,  SST-RC Results,  SSG/LRR-RSM-w2012 Results,  Wilcox2006-klim Results,  EASMko2003-S Results,  K-e-Rt-RC Results,  GLVY-RSM-2012 Results

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

Return to: Turbulence Modeling Resource Home Page

Recent significant updates:
07/05/2016 - added NTS results
01/27/2015 - mention of oscillations in second derivative of wall shape in provided grids

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Last Updated: 03/13/2025