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Reynolds stress transport model with elliptic relaxation

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Old   December 8, 2011, 11:32
Default Reynolds stress transport model with elliptic relaxation
Heng Xiao
Join Date: Mar 2009
Location: Zurich, Switzerland
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Dear FOAMers,

The number of Reynolds Stress Transport Models implemented in OpenFOAM seems to be relatively small (only LRR and LaunderGibson as I know of). Both are high-Re formulation, i.e. wall functions should be used.

For my research, I need wall-resolved RSTM. Therefore, I implemented two formulations of RSTM with elliptic relaxations/blending, i.e.:

Durbin Elliptic Relaxation Model (Durbin1993)
Hanjalic Elliptic Blending Model (Manceau2002)

My colleague M. Wild reviewed the code, cleaned up the style, and made up a lot of improvements. Now, the code is hosted on github, together with a solver and an example case. The address is:

You can obtain them by:

git clone git://

More information please see the README and the code itself. Any feedback or improvement is appreciated!

- [Durbin1993] Durbin, 'A Reynolds stress model for near-wall turbulence'.
J Fluid Mech 249, 1993.

- [Manceau2002] Manceau and Hanjalic, 'Elliptic blending model: a new
near-wall Reynolds-stress turbulence closure'. Phys Fluid 14 (74), 2002.

- [Manceau2001] Manceau, Wang, and Laurence, 'Inhomogeneity and anisotropy
effects on the redistribution term in Reynolds-averaged Navier-Stokes
modelling'. J Fluid Mech 438, 2001.

Last edited by xiao; December 9, 2011 at 11:45. Reason: fix clone address
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Old   February 15, 2020, 13:06
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Agustín Villa
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Hi Xiaoh, it's been a long time since you already posted these models!

I am testing a derived version of Manceau's elliptic model, and following your work was very helpful.

About this (I know you already did this study a long time ago), I have some questions:
  • Have you ever used both models in 2D channel flows?
  • Have you tested the model in steady simulations?
  • In your GitHub simulation you used cyclic conditions on the spanwise direction, but there you only had 1 cell. Is that BC approppriate?
I will test your implementations (already in OF7).

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durbin, hanjalic, rstm model

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