Statistical data

In this section the relevant statistical data for the diffuser computed with Alya is given. The reported data is the one mentioned in Table 2 of the list of desirable quantities (PDF) and also specified here.

The data is available as:

In CSV (text) format as profiles along characteristic lines of the diffuser
In CSV (text) format as contours along characteristic planes of the diffuser.
In HDF5 (binary) format as volumetric data.

Other turbulent statistics

Other relevant statistics from the database are presented in this section. In particular, the turbulent kinetic energy (TKE) and the characteristic length scales (i.e., the Taylor micro-scale ${\eta _{T}}$ and the Kolmogorov length-scale ${\eta _{K}}$ ) are presented in Fig. 17 along some characteristic contours of the diffuser.

Profile data

The profile data is thought to match that of the UFR_4-16_Test_Case and the experimental data. Text files (in CSV format) are provided at the streamwise locations x/h=0, 2, 4, 6, 8, 10, 12, 14, 15.5, 17, 18, 20 and 22 at the following spanwise locations z/B=0.25, 0.5, 0.75 and 0.875. Some of these profiles are also plotted below.

diffuser01_z0250_x-2_Alya_DNS	diffuser01_z0500_x-2_Alya_DNS	diffuser01_z0750_x-2_Alya_DNS	diffuser01_z0875_x-2_Alya_DNS
diffuser01_z0250_x0_Alya_DNS	diffuser01_z0500_x0_Alya_DNS	diffuser01_z0750_x0_Alya_DNS	diffuser01_z0875_x0_Alya_DNS
diffuser01_z0250_x2_Alya_DNS	diffuser01_z0500_x2_Alya_DNS	diffuser01_z0750_x2_Alya_DNS	diffuser01_z0875_x2_Alya_DNS
diffuser01_z0250_x4_Alya_DNS	diffuser01_z0500_x4_Alya_DNS	diffuser01_z0750_x4_Alya_DNS	diffuser01_z0875_x4_Alya_DNS
diffuser01_z0250_x6_Alya_DNS	diffuser01_z0500_x6_Alya_DNS	diffuser01_z0750_x6_Alya_DNS	diffuser01_z0875_x6_Alya_DNS
diffuser01_z0250_x8_Alya_DNS	diffuser01_z0500_x8_Alya_DNS	diffuser01_z0750_x8_Alya_DNS	diffuser01_z0875_x8_Alya_DNS
diffuser01_z0250_x10_Alya_DNS	diffuser01_z0500_x10_Alya_DNS	diffuser01_z0750_x10_Alya_DNS	diffuser01_z0875_x10_Alya_DNS
diffuser01_z0250_x12_Alya_DNS	diffuser01_z0500_x12_Alya_DNS	diffuser01_z0750_x12_Alya_DNS	diffuser01_z0875_x12_Alya_DNS
diffuser01_z0250_x14_Alya_DNS	diffuser01_z0500_x14_Alya_DNS	diffuser01_z0750_x14_Alya_DNS	diffuser01_z0875_x14_Alya_DNS
diffuser01_z0250_x16_Alya_DNS	diffuser01_z0500_x16_Alya_DNS	diffuser01_z0750_x16_Alya_DNS	diffuser01_z0875_x16_Alya_DNS
diffuser01_z0250_x18_Alya_DNS	diffuser01_z0500_x18_Alya_DNS	diffuser01_z0750_x18_Alya_DNS	diffuser01_z0875_x18_Alya_DNS
diffuser01_z0250_x20_Alya_DNS	diffuser01_z0500_x20_Alya_DNS	diffuser01_z0750_x20_Alya_DNS	diffuser01_z0875_x20_Alya_DNS
diffuser01_z0250_x22_Alya_DNS	diffuser01_z0500_x22_Alya_DNS	diffuser01_z0750_x22_Alya_DNS	diffuser01_z0875_x22_Alya_DNS

Characteristic Plots of these profiles are:

Figure 12: Stanford double diffuser, Re=10000, validation. Average velocities, Cherry et al. (2008) and Ohlsson et al. (2010) vs data obtained with Alya.

Figure 13: Stanford double diffuser, Re=10000, validation. Average streamwise velocity fluctuations, Cherry et al. (2008) and Ohlsson et al. (2010) vs data obtained with Alya.

Figure 14: Stanford double diffuser, Re=10000. Turbulent kinetic energy (TKE) budget balance obtained with Alya on characteristic lines of the diffuser.

Contour data

Contour data is also provided to match that of the UFR_4-16_Test_Case and the experimental data. Text files (in CSV format) are provided at the streamwise locations x/h=2, 5, 8 and 15. These contours are also plotted below.

diffuser01_contour_x2_Alya_DNS

diffuser01_contour_x5_Alya_DNS

diffuser01_contour_x8_Alya_DNS

diffuser01_contour_x15_Alya_DNS

Characteristic plots of these contours are, on positions x/h=2, 5, 8 and 15:

Figure 15: Stanford double diffuser, Re=10000, validation. Average streamwise velocity contours, Cherry et al. (2008) and Ohlsson et al. (2010) vs data obtained with Alya. The positions of the contour slices are, from top to bottom, x/h=2, 5, 8 and 15.

Figure 16: Stanford double diffuser, Re=10000, validation. Average streamwise velocity fluctuation contours, Cherry et al. (2008) and Ohlsson et al. (2010) vs data obtained with Alya. The positions of the contour slices are, from top to bottom, x/h=2, 5, 8 and 15.

Figure 17: Stanford double diffuser, Re=10000. Turbulent kinetic energy (TKE), Taylor microscale and Kolmogorov lengthscale obtained with Alya on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 18: Stanford double diffuser, Re=10000. Reynolds normal stresses (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 19: Stanford double diffuser, Re=10000. Reynolds shear stresses (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Contour plots of the Reynolds stress equations are given on positions x/h=2, 5, 8 and 15 for each of the budget terms and the residuals of the equation:

Figure 20: Stanford double diffuser, Re=10000. Production term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 21: Stanford double diffuser, Re=10000. Production term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 22: Stanford double diffuser, Re=10000. Convection term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 23: Stanford double diffuser, Re=10000. Convection term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 24: Stanford double diffuser, Re=10000. Turbulent diffusion D1 term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 25: Stanford double diffuser, Re=10000. Turbulent diffusion D1 term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 26: Stanford double diffuser, Re=10000. Turbulent diffusion D2 term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 27: Stanford double diffuser, Re=10000. Turbulent diffusion D2 term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 28: Stanford double diffuser, Re=10000. Turbulent diffusion D3 term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 29: Stanford double diffuser, Re=10000. Turbulent diffusion D3 term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 30: Stanford double diffuser, Re=10000. Pressure strain term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 31: Stanford double diffuser, Re=10000. Pressure strain term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 32: Stanford double diffuser, Re=10000. Dissipation term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 33: Stanford double diffuser, Re=10000. Dissipation term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 34: Stanford double diffuser, Re=10000. Residual term of the Reynolds stress budget (from left to right 11, 22, 33) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Figure 35: Stanford double diffuser, Re=10000. Residual term of the Reynolds stress budget (from left to right 12, 13, 23) on contour slices located, from top to bottom, at x/h=2, 5, 8 and 15.

Volume data

Volumetric data on the statistics computed for the whole computational domain are provided here. For more information regarding the storage format, please refer to the storage format guidelines.

The available files are:

Statistics (15.9 kB) Is the HDF5 master file. This is used in conjunction with the other HDF5 files to open and manage the dataset. Please refer to storage format guidelines for more information on this.
Nodes (2.8 GB) Contains the xyz positions where data is stored.
Inputs (26.0 GB) Contains the averaged pressure and velocity along with their gradients, the viscous shear stress and the Reynolds stress tensor.
Additional Quantities (3.7 GB) Contains additional quantities such as the Taylor and Kolmogorov scales and the pressure autocorrelation.
Triple Correlation (9.3 GB) Contains the components of the velocity triple correlation.
Pressure Velocity (2.8 GB) Contains the pressure velocity correlation.
Convection (5.6 GB) Contains the convection terms in the budget equations for the Reynolds stresses.
Production (5.6 GB) Contains the production terms in the budget equations for the Reynolds stresses.
Dissipation (5.6 GB) Contains the dissipation terms in the budget equations for the Reynolds stresses.
Molecular Diffusion (5.6 GB) Contains the molecular diffusion terms in the budget equations for the Reynolds stresses.
Pressure Strain (5.6 GB) Contains the pressure strain terms in the budget equations for the Reynolds stresses.
Turbulent Diffusion (5.6 GB) Contains the turbulent diffusion terms in the budget equations for the Reynolds stresses.
Pressure Diffusion (5.6 GB) Contains the pressure diffusion terms in the budget equations for the Reynolds stresses.
Residuals (5.6 GB) Contains the residual terms in the budget equations for the Reynolds stresses.
TKE budget terms (7.4 GB) Contains the terms in the budget equations for the turbulent kinetic energy (convection, production, dissipation, molecular diffusion, pressure strain, turbulent diffusion and residuals).