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2D Fully-Developed Channel Flow at High Reynolds Number Validation Case

SSG/LRR-RSM-w2012 Model Results
 

Link to SSG/LRR-RSM-w2012 equations

SSG/LRR-RSM-w2012 - Cf vs x

SSG/LRR-RSM-w2012 - v* vs x SSG/LRR-RSM-w2012 - nondimensional u vs y

SSG/LRR-RSM-w2012 - u+ vs log10(y+) SSG/LRR-RSM-w2012 - Karman measure vs log10(y+)

SSG/LRR-RSM-w2012 - nondimensional eddy viscosity vs y SSG/LRR-RSM-w2012 - anisotropy tensor vs y

SSG/LRR-RSM-w2012 - u'v'+ vs y SSG/LRR-RSM-w2012 - u'v'+ vs log10(y+)

SSG/LRR-RSM-w2012 - P/eps vs y SSG/LRR-RSM-w2012 - P/eps vs log10(y+)

Above SSG/LRR-RSM-w2012 results are from CFL3D on the finest 161x513 grid. CFL3D used freestream turbulence intensity=0.039% 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. Note that these are compressible code results; results will be somewhat different for incompressible codes. In fact, for incompressible flow, the Cf and v*/Uref should become constant (moving downstream) rather than slowly linearly increasing as shown here. Note that the quantity v* (as defined in White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, 1974, pp. 471-474) is often referred to as u_tau. Note also that Uref used in the above plots is not bulk velocity, but rather the velocity at the reference position upstream where M=0.2. The density (used to compute Cf) is also referenced there.

Results are assumed to be sufficiently "fully developed" by x=500. Looking at the "Karman Measure" (KM), the value of "kappa" produced by this turbulence model is close to 0.420 over much of the log layer. The results using this model are somewhat non-smooth near the center of the channel (see above plots of u or KM). The reason for this behavior is not currently known. The anisotropy tensor is given by bij=uiuj/(2k)-delij/3. The anisotropy variables are approximately constant through much of the boundary layer. This model yields approximately: b12=-0.153, b11=0.120, b22=-0.1145, and b33=-0.005. It is shown that the P/eps for this model is approximately 1 in the log region (log10(y+) between about 2 and 5).

CFL3D results are given here: ssglrrrsm_cf_vs_x_cfl3d.dat, ssglrrrsm_utau_vs_x_cfl3d.dat, ssglrrrsm_u_cfl3d.dat, ssglrrrsm_u+y+KM_cfl3d.dat, ssglrrrsm_mut_cfl3d.dat, ssglrrrsm_bij_cfl3d.dat, ssglrrrsm_plus_cfl3d.dat, ssglrrrsm_povere_cfl3d.dat. A typical CFL3D input file is: ssglrrrsm_cfl3d_typical.inp.
 
 

Jump to: SA ResultsSA-QCR2000 ResultsSSTm ResultsWilcox2006-klim-m ResultsK-kL-MEAH2015 Results

Return to: Fully-Developed Channel Flow Validation Intro Page

Return to: Turbulence Modeling Resource Home Page


 
 


Recent significant updates:
02/01/2022 - added mention of expected results for incompressible flow
09/17/2019 - added plots of P/eps
09/16/2019 - faulty link corrected

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Last Updated: 02/01/2022