Testing a one-closure equation turbulence model in neutral boundary layers - Archive ouverte HAL Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2021

## Testing a one-closure equation turbulence model in neutral boundary layers

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Benoît Pinier
• Function : Author
Roger Lewandowski
Etienne Mémin
• Function : Author
• PersonId : 952791
Pranav Chandramouli
• Function : Author
• PersonId : 1016018

#### Abstract

We aim to test the performances of an incompressible turbulence Reynolds-Averaged Nav\-ier-Stok\-es one-closure equation model in a boundary layer (NSTKE model). We model a new boundary condition for the turbulent kinetic energy $k$ (TKE), and we achieve the mathematical analysis of the resulting NSTKE model. A series of direct numerical simulation are performed, with flat and non trivial topographies, to obtain by interpolation a generic formula for the Prandtl mixing length $\ell = \ell (Re_\star, z)$, $Re_\star$ being the frictional Reynolds number, and $z$ the distance to the wall. This allows us to carry out numerical simulations at high Reynolds numbers with this turbulence model, in order to discuss its ability to properly reproduce the standard profiles observed in neutral boundary layers, and to assess its advantages, its disadvantages and its limits.

#### Domains

Mathematics [math] Mathematical Physics [math-ph]

### Dates and versions

hal-01875464 , version 1 (17-09-2018)
hal-01875464 , version 2 (27-01-2020)
hal-01875464 , version 3 (02-03-2020)
hal-01875464 , version 4 (14-10-2020)

### Identifiers

• HAL Id : hal-01875464 , version 4
• DOI :

### Cite

Benoît Pinier, Roger Lewandowski, Etienne Mémin, Pranav Chandramouli. Testing a one-closure equation turbulence model in neutral boundary layers. Computer Methods in Applied Mechanics and Engineering, 2021, 376, pp.article n° 113662. ⟨10.1016/j.cma.2020.113662⟩. ⟨hal-01875464v4⟩

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