Reynolds stress transport models

Table of Contents

• Background

Reynolds stress transport turbulence model selections include:

• Launder, Reece and Rodi (LRR)
• Speziale, Sarkar and Gatski (SSG)

Background

The Reynolds stress transport equation reads:

\[ \Ddt{\tensor{R}} = \underbrace{\tensor{P}}_{production} + \underbrace{\tensor{\Pi}}_{pressure-strain} - \underbrace{\tensor{\epsilon}}_{dissipation} + \underbrace{\tensor{D}}_{diffusion} + \underbrace{\tensor{\Omega}}_{rotation} \]

Here, the production term \( \tensor{P} \) is given by:

\[ \tensor{P} = - \tensor{R} \dprod \left(\grad \u + \left(\grad \u \right)^T \right) \]

All other terms on the r.h.s. require modelling.

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