Turbulence modeling must be carefully assessed, starting with cases where the analytical theory allows to be quantitative. The first test case is a turbulent channel.
Turbulent flow between two parallel plates, Reynolds=10 000
The first turbulent channel is defined in the POF article of Moser: Robert D. Moser, John Kim, and Nagi N. Mansour. “Direct numerical simulation of turbulent channel flow up to Reτ = 590”. In: Physics of Fluids 11.4 (1999), pp. 943–945.
| Coarse mesh – regular | |
|---|---|
| Shape LxHxW | πH/2 x H x 0.289πH/2 |
| Dimensions LxHxW | 0,314 x 0,2 x 0,09 m |
| Resolution Dx | 0,001m |
| Cells | 5,652 Millions (1314x200x90) |
| Turbulent flow between two parallel plates | |
|---|---|
| Domain Height | 0.2 |
| Density | 1.1608 Kg/m3 |
| Temperature | 300 Kelvins |
| Pressure | 10^5 Pascals |
| Bulk Reynolds | 10 000 |
| Bulk Velocity | 1,61268091 m/s |
| Skin Friction coef. | 5.908e-3 |
| Tau wall | 8,92E-03 |
| Forcing term | 0,089179448 kg/m2/s2 |
| friction Reynolds | 5,44E+02 |
| Resolution | 200 |
| DeltaY | 0,001 |
| DeltaY+ | 5,44E+00 |
Turbulent atmospheric boundary layer – Reynolds > 300 000 000
This second test comes from“Large eddy simulation study of fully developed wind-turbine array boundary layers”, Physics of Fluids 22, 015110 (2010); Marc Calaf, Charles Meneveau, and Johan Meyers.
| Coarse mesh – regular | |
|---|---|
| Shape LxHxW | 11H x H x 0.31H |
| Resolution Dx | 10m |
| Cells | 34.1 Millions (1100 x 100 x 310) |
| Atmospheric boundary layer | |
|---|---|
| Domain Height | 1000m |
| Density | 1.1608 Kg/m3 |
| Temperature | 300 Kelvins |
| Pressure | 10^5 Pascals |
| Bulk Reynolds | 3,63E+08 |
| Bulk Velocity | 5,85 m/s |
| Skin Friction coef. | 1,25E-02 |
| Tau wall | 2,48E-01 |
| Forcing term | 0,000248284 kg/m2/s2 |
| friction Reynolds | 2,87E+07 |
| DeltaY | 10m |
| DeltaY+ | 28677,91 |
Article originally written by Antoine Dauptain (CERFACS), research scientist focused on computer science and engineering topics for HPC.