Speziale, Sarkar and Gatski (SSG)

Table of Contents

• Properties
• Model equations
• Default model coefficients
• Usage
• Further information

Note

Under construction - please check again later

Properties

• Reynolds stress model

Model equations

\[ \Ddt{\rho \epsilon} = \div \left( D_\epsilon \grad \epsilon \right) + C_{\epsilon 1} \rho G \frac{\epsilon}{k} - C_{\epsilon 2} \rho \frac{\epsilon^2}{k} + S_\epsilon \]

\[ \Ddt{\rho \tensor{R}} = \div \left( \rho D_{\tensor{R}} \grad \tensor{R} \right) - \left( \frac{C_1}{2}\epsilon + \frac{C_{1}^{*}}{2}G \right) \rho \frac{\rho}{k}\tensor{R} + \rho P - \frac{1}{3}\tensor{I} ((2 - C_1)\epsilon - C_{1}^{*} G) \rho + C_2 \rho \epsilon \mathrm{dev}(innerSqr(\tensor{b})) + \rho k \left( (C_3 - C_{3}^{*} \mag{\tensor{b}}) \mathrm{dev}(\tensor{S}) + C_4 \mathrm{dev}(twoSymm(\tensor{b} \dprod \tensor{S})) + C_5 twoSymm(\tensor{b} \dprod \tensor{\Omega}) \right) \]

Default model coefficients

Usage

The model is specified using:

RAS
{
    turbulence      on;
    RASModel        SSG;
}

Further information

Source code:

• Foam::RASModels::SSG

References:

• Base model: Speziale et al. [78]
• Generalized gradient diffusion model of Daly and Harlow [13]

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