The aim of this test case is to validate the following parameters of steady-state incompressible turbulent flow around the Ahmed Body with a pre-referenced case [1]:

Drag Coefficient

Velocity Profiles

The geometry is uploaded on to the SimScale platform and meshed using the snappyHexMesh tool. A fine resolution is provided behind the Ahmed Body to detect wakes.

The geometry is created based on the simplified aerodynamic body used by Ahmed et al [1]. See Fig.1.a for dimensions and Fig.1.b for the geometry. The slant angle (ψ

$\psi $

) is set to 25 degrees. The body is placed in a wind tunnel (6m×5m×13.5m

$6m\times 5m\times 13.5m$

) in order to limit the aerodynamic blockage effect.

Analysis type and Domain

The snappyHexMesh tool was used to generate the mesh, with refinement near the walls and in the wake region (see Fig.2.).

A typical property of the generated mesh is the y+

${y}^{+}$

(“y-plus”) value, which is defined as the non-dimensionalized distance to the wall; it is given by y+=u∗y/ν

${y}^{+}={u}^{\ast}y/\nu $

. A y+

${y}^{+}$

value of 1 would correspond to the upper limit of the laminar sub-layer.

Full Resolution in the near-wall region: The first cell lies at most at the boundary of the laminar sub-layer and no further. Here, y+ ${y}^{+}$

value is 1 or below.

Use of wall-functions to resolve the near-wall region: There is no need to place cells very close to the laminar sub-layer, and typically 30⩽y+⩽300 $30\u2a7d{y}^{+}\u2a7d300$

.

An average y+

${y}^{+}$

value of 1 was used for the inflation layer. The k−ω

$k-\omega $

SST turbulence model was chosen, with full resolution for near-wall treatment of the flow.

is assigned as the domain fluid. The boundary conditions for the simulation are shown in Table 3.

Boundary Conditions:

Table 2: Boundary Conditions for Ahmed Body simulation¶

Parameter

Inlet

Top Face

Bottom Face

Lateral Faces

Outlet

Body

Velocity

63.7m/s$63.7\text{}m/s$

Symmetry

63.7m/s$63.7m/s$

(Moving Wall)

Symmetry

Zero Gradient

Full Resolution

k$k$

21.9$21.9$

Symmetry

Wall Function

Symmetry

Zero Gradient

Full Resolution

Omega

29215$29215$

Symmetry

Wall Function

Symmetry

Zero Gradient

Full Resolution

Pressure

Zero Gradient

Symmetry

Wall Function

Symmetry

0 Pa

Full Resolution

The free stream velocity of the simulation is U=63.7m/s

$U=63.7\text{}m/s$

, so that the Reynolds number based on the height of the body H

$H$

is Re=1.2×106

$Re=1.2\times {10}^{6}$

. It is of the same order of magnitude used in the original experiment of Ahmed and Ramm [1].

Results

Drag Coefficient

The drag coefficient is defined as

CD=Fd/0.5×rho×U2×Ax

$CD=Fd/0.5\times rho\times U2\times Ax$

where Ax(0.112m2)

$Ax(0.112\text{}{m}^{2})$

is the projected area of the Ahmed body in streamwise direction and FD the drag force. The time-averaged drag force was determined by integration of surface pressure and shear stress over the entire Ahmed body. The resulting drag coefficient of the Ahmed body was computed to be 0.306

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Contents

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