## I- Wall-resolved Large-eddy simulation (WRLES) of the flow around a controlled diffusion airfoil

The main parameters of the present database of are given in the below table.

The parameters used in this database are defined with free stream conditions.

Contents:

To build the present database and to procure some information about the flow at a given operating point prior to the launch of the three-dimensional (extruded) WRLES and to save computational time for the statistics convergence of the extruded 3D LES, two preliminary computation are performed:

- Two-dimensional RANS (Reynolds Average Navier-Stokes) simulations
- Two-dimensional LES

For some quantities, two-dimensional RANS and LES results are provided.

### Boundary Layer quantities (Standard average profiles)

- Pressure coefficient
- Skin friction coefficients
- Displacement, thermal, and momentum boundary layer thickness
- Mach number at the boundary layer edge
- Maximum eddy viscosity along the profile
- Wall temperature
- Temperature at the boundary layer edge
- Transition Laminar/Turbulent
- Shape factor

### spectral quantities

- Wall-pressure power spectral density (PSD)
- Spanwise coherence length

###
*TBD*)

Unsteady pressure signals (layers of probes at several locations in the computational domain) (*TBD*

- The first layer is located in the first wall-normal cell and goes all around the airfoil,
- The second layer is located above the upper side, for longitudinal coordinate greater than 60% chord and at 25% of the boundary layer height,
- The third layer is identical to the latter except it is located at 50% of the boundary layer height,
- The fourth layer is located above and parallel to the upper side, for longitudinal coordinate greater than 60% chord and outside of the boundary layer,
- The bulb set of probes is located at the location of the recirculation bulb, if it exists, and consists of three layers parallel to the airfoil and just spanning the bulb extent,
- The wake set of probes is located downstream of the trailing edge to capture the vortex shedding frequency.

###
*TBD*)

Instantaneous visualization (*TBD*

- VTK files.

##
`\mathcal{C}_1`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length

InstantenuousSnapshots

##
`\mathcal{C}_2`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length

##
`\mathcal{C}_3`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length

##
`\mathcal{C}_4`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length

##
`\mathcal{C}_5`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length

##
`\mathcal{C}_6`

Case - Instantaneous visualization
- Boundary Layer quantities
- Spectral quantities-PSD
- Spectral quantities-Spanwise coherence length