Langtry-Menter k-ω Shear Stress Transport (SST)

Properties

• Based on the k-ω Shear Stress Transport (SST) model
• Transition from laminar to turbulence
• Four-equation model
• Also known as the $\gamma - Re_\theta$ model

Model equations

Default model coefficients

Initialisation

See kOmegaSST initialisation

Boundary conditions

Inlet

• Intermittency:

$$\gamma = 1$$

• Transition momentum thickness Reynolds number:

$$Re_\theta = \begin{cases} 1173.51 - 589.428 Tu + \frac{0.2196}{Tu^2} & \text{if } Tu \le 1.3 \\ \frac{331.5}{(Tu - 0.5658)^{0.671}} & \text{if } Tu > 1.3 \end{cases}$$

Where:

$$Tu = 100 \frac{\sqrt{2/3 k}}{|\u_\infty|}$$

Walls

• Intermittency: zero gradient

$$\frac{\partial}{\partial n} \gamma = 0$$

• Transition momentum thickness Reynolds number: zero gradient

$$\frac{\partial}{\partial n} Re_\theta = 0$$

Usage

The model is specified using:

RAS
{
    turbulence      on;
    RASModel        kOmegaSSTLM;
}

Further information

Source code:

• Foam::RASModels::kOmegaSSTLM

References

• Langtry and Menter 35
• Menter et al. 50
• Langtry 34