8.3
general documentation
Functions
cs_les_mu_t.h File Reference
#include "cs_base.h"
+ Include dependency graph for cs_les_mu_t.h:

Go to the source code of this file.

Functions

void cs_les_mu_t_smago_dyn_prepare (cs_real_t s_n[], cs_real_t sf_n[], cs_real_3_t *f_vel, cs_real_t mijmij[], cs_real_t mijlij[])
 Calculation of Mij:Mij and Mij:Lij for dynamic Smagorinsky model. More...
 
void cs_les_mu_t_smago_dyn (void)
 Calculation of turbulent viscosity for a dynamic Smagorinsky LES model. More...
 
void cs_les_mu_t_smago_const (void)
 Calculation of the turbulent viscosity for a Smagorinsky LES model. More...
 
void cs_les_mu_t_wale (void)
 Compute the turbulent viscosity for the WALE LES model. More...
 

Function Documentation

◆ cs_les_mu_t_smago_const()

void cs_les_mu_t_smago_const ( void  )

Calculation of the turbulent viscosity for a Smagorinsky LES model.

\[ \mu_T = \rho (C_{S} l)^2 \sqrt{2 S_{ij}S_{ij}} \]

\[ S_{ij} = \dfrac{\der{u_i}{x_j} + \der{u_j}{x_i}}{2}\]

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Calculation of the turbulent viscosity for a Smagorinsky LES model.

\[ \mu_T = \rho (C_{S} l)^2 \sqrt{2 S_{ij}S_{ij}} \]

\[ S_{ij} = \dfrac{\der{u_i}{x_j} + \der{u_j}{x_i}}{2}\]

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◆ cs_les_mu_t_smago_dyn()

void cs_les_mu_t_smago_dyn ( void  )

Calculation of turbulent viscosity for a dynamic Smagorinsky LES model.

\[ smago = \dfrac{L_{ij}M_{ij}}{M_{ij}M_{ij}} \]

\[ \mu_T = \rho smago L^2 \sqrt{2 S_{ij}S_{ij}} \]

\[ S_{ij} = \dfrac{\der{u_i}{x_j} + \der{u_j}{x_i}}{2}\]

!

Calculation of turbulent viscosity for a dynamic Smagorinsky LES model.

\[ smago = \dfrac{L_{ij}M_{ij}}{M_{ij}M_{ij}} \]

\[ \mu_T = \rho smago L^2 \sqrt{2 S_{ij}S_{ij}} \]

\[ S_{ij} = \dfrac{\der{u_i}{x_j} + \der{u_j}{x_i}}{2}\]

Please refer to the dynamic Smagorinsky model section of the theory guide for more informations.

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◆ cs_les_mu_t_smago_dyn_prepare()

void cs_les_mu_t_smago_dyn_prepare ( cs_real_t  s_n[],
cs_real_t  sf_n[],
cs_real_3_t *  f_vel,
cs_real_t  mijmij[],
cs_real_t  mijlij[] 
)

Calculation of Mij:Mij and Mij:Lij for dynamic Smagorinsky model.

Please refer to the dynamic Smagorinsky model section of the theory guide for more informations.

Parameters
[out]s_nstrain rate (sqrt(2SijSij))
[out]sf_nfiltered strain rate
[out]f_velfiltered velocity
[out]mijmijMij:Mij
[out]mijlijMij:Lij

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◆ cs_les_mu_t_wale()

void cs_les_mu_t_wale ( void  )

Compute the turbulent viscosity for the WALE LES model.

The turbulent viscosity is: $ \mu_T = \rho (C_{wale} L)^2 * \dfrac{(\tens{S}:\tens{Sd})^{3/2}} {(\tens{S} :\tens{S})^(5/2) +(\tens{Sd}:\tens{Sd})^(5/4)} $ with $ \tens{S} = \frac{1}{2}(\gradt \vect{u} + \transpose{\gradt \vect{u}})$ and $ \tens{Sd} = \deviator{(\symmetric{(\tens{S}^2)})}$

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