Separation

The quality of the different turbulence models to predict the correct position of a separation is very variable. This has a great influence on the correct prediction of the drag and lift coefficients. For the investigation the 2D test-case Onera-A at13.3 angle of attack was chosen. The test-case has a separation at 89.5% chord-length on the suction side with Re = 2.1e6 and Ma = 0.15. The grid consists of 530,000 grid points (fig. 10) and was already tested on grid convergence in the ECARP-project. The order of convergence of the turbulence models differs slightly, but the results should also be comparable.

The variation of the turbulence models leads to visible variations in the separ­ation position and also to different levels in Cp and Cf (fig. 11 & 12). Compared to the experiment the deviations are 8.9% in the lift and up to 73.62% in the drag coefficient (SST). This strong deviation in the drag coefficient is in part due to the fully-turbulent computations applied: A user-specified transition location is known to ignore results for this test case. The range of variation in the forces reaches

Separation

Fig. 9 Flat plate — friction coefficient cf with variation of the turbulence model in compar – ision to the experiment

 

Separation

Fig. 10 Grid of the ONERA-A test-case with 530,000 grid points

 

+/ — 3.56% in the lift, +/ — 3.43% in the drag coefficient and +/ — 7.69% in the position of the separation around the average of the numerical results.

 

Separation

Fig. 11 ONERA-A — pressure coefficient Cp in comparision with the eight different turbu­lence models and the experiment

Table 1 ONERA-A – lift and drag coefficient, position of pressure induced separation com­pared to experimental results

CL

diff. in % cd

diff. in % separation

x/c

diff. in %

Experiment

1.5620

0.0208

0.8945

HELL

1.4480

-7.30

0.0356

70.96

0.8906

-0.44

LEA

1.4659

-6.15

0.0347

66.92

0.9228

3.16

RQEVM

1.4234

-8.87

0.0351

68.90

0.8883

-0.70

SAE

1.5275

-2.21

0.0337

62.12

0.8312

-7.08

SAO

1.5119

-3.21

0.0350

68.38

0.8078

-9.69

SST

1.4225

-8.93

0.0361

73.62

0.8268

-7.57

WCX

1.4857

-4.89

0.0352

69.08

0.8976

0.35

WJ2D

1.5081

-3.45

0.0342

64.59

0.9423

5.35