Flat-plate transitional flow - T3A case
For reference, see the classical ERCOFTAC test case in the ERCOFTAC database.
The case is solved in a rectangular domain spanning from \(x = -0.15\) m to \(x = 1.7\) m. The height of the domain is \(h = 0.3\) m, and the leading edge of the plate is located at \(x = 0\) m.
Three different meshes were prepared: coarse, medium, and fine. Values of \(y^+_1\) are calculated witt the kOmegaSSTLM turbulence model. The mesh details are summarized in the following table:
| Mesh | Size | min \(y^+_1\) | max \(y^+_1\) | avg \(y^+_1\) |
|---|---|---|---|---|
| coarse | 157 x 125 | \(0.18\) | \(0.91\) | \(0.24\) |
| medium | 314 x 250 | \(0.09\) | \(0.56\) | \(0.13\) |
| fine | 618 x 500 | \(0.05\) | \(0.33\) | \(0.06\) |
An incompressible fluid with constant density and constant viscosity, \(\nu = 1.5\times 10^{-5}\) m\(^2\)/s, is assumed.
The inlet boundary conditions at \(x = -0.15\) m are as follows:
- \(U=5.4\) m/s
- \(Tu=4.5\) %
- \(\nu_t/\nu = 12\)
The other boundary conditions are set as follows:
- flat plate (\(x>0\) m, \(y=0\) m): no-slip wall
- lower symmetry (\(x<0\) m, \(y=0\) m): symmetry
- top wall (\(y=0.3\) m): slip
- outlet (\(x=1.7\) m): pressure outlet with \(p=0\) Pa
The simulation can be run on the medium mesh with
./Allrun mediumReferences
- ERCOFTAC database
- Suluksna, K., Dechaumphai, P., & Juntasaro, E. (2009). Correlations for modeling transitional boundary layers under influences of freestream turbulence and pressure gradient. International Journal of Heat and Fluid Flow, 30(1), 66–75. https://doi.org/10.1016/j.ijheatfluidflow.2008.09.004