Results for case Flow over a 2D hill

Code: Code_Saturne

Version: 2.0-beta2

Authors: J. Uribe

Method and Numerical Options

Tests with:

  • IDTVAR = -1, 0, 1, 2 (time step: steady, constant, variable in time, variable in space and time)
  • ITURB = 20, 60, 32 (turbulence model, %$k-\varepsilon$%, %$k-\omega - SST$%, Rij-SSG)
  • IREVMC = 0, 1, 2 (Velocity reconstruction method: standard, least squares, least squares on updated mass flux)

Models

%$k-\varepsilon$%, SST, SSG

Mesh

Structured (Hexas). Total number of cells 9200 Not wall resolved. Minimum y+ > 40. Mesh file

Description of the results files

Results are obtained at the following x (mm) coordinates:
-0.05 0.0005 0.05 0.07 0.09 0.15 0.3

and at a line at y=0 to measure the recirculation length.

The profiles are extracted using the subroutine usproj,f90 and contain the following columns:

x(m) U(m/s) V(m/s) W(m/s) k(m2/s2) eps(m2/s3) xadim Uadim Vadim ktot_adim

where the non-dimensional values are obtained using the hill height and the bulk velocity.

In the case of the SSG model, time averages are needed and the profile files contain the corresponding averaged values rather than the instantaneous.


All the files needed to set up the case (SSG) can be found here

Boundary conditions

Wall functions used on the lower boundary. Selection of boundary faces as:
Colour Nature
6 Wall
4 Symmetry
7 Inlet
3 Outlet

The inlet is prescribed from analytical profiles. (see below)

Reference Publications

Discussion

The inlet profiles are imposed using the following equations:

%$ U = u^* (\frac{log(1+0.4y^+)}{0.42}+7.8(1-\exp(-y^+/11)-y^+\exp(-0.33y^+/11) )$%

%$ k = {u^*}^2(0.07*{y^+}^2\exp(-y^+/8) +4.5(1-\exp(-y^+/20))/(1 + 4y^+/Re^*) $%

%$ \varepsilon = {u^*}^4 / (0.4\nu({y^+}^4+15^4)^{0.25}) $%

The results are in good agreement with the previous version of the code (see figure 1) though sligthly different. Changing the time scheme does not produce any significant different when using the model as expected (see figure 2), but the reconstruction mode for the velocity has a great influence (figure 3). As expected the choice IREVMC=2 (reconstruction with a least-square method on the mass-fluxes) totally dissipates the recirculation. The choice of turbulence model is very important since completely different patterns are obtained. As it is common, the %$k-\varepsilon$% model under-predicts the recirculation length whereas the SST over-predicts it (see figures 3-6). Velocity profiles for both components are presented in figures 7-9 at a distance of x=50mm, inside the recirculation zone. Here it can be seen that all previous conclusions still apply.


U_0_keps_idtvar.png

  • Figure 1. Streamwise velocity at the first cell. %$k-\varepsilon$% model. Various time schemes.


  • Figure 2. Streamwise velocity at the first cell. %$k-\varepsilon$% model. Different velocity reconstruction schemes. The IDTVAR0 curve corresponds to a standard setup with IREVMC = 0.


  • Figure 3. Streamwise velocity at the first cell. Different turbulence models.


kep_streamlines.png

  • Figure 4. Streamlines for the %$k-\varepsilon$% model.


kome_streamlines.png

  • Figure 5. Streamlines for the %$k-\omega$-SST% model.


ssg0_streamlines.png

  • Figure 6. Streamlines for the Rij-SSG model.


  • Figure 7. Profiles at x=50mm for different time schemes.


  • Figure 8. Profiles at x=50mm for different velocity reconstruction modes.


  • Figure 9. Profiles at x=50mm for different turbulence models.



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pngpng U_0_keps_idtvar.png manage 9.0 K 2009-11-03 - 19:05 UnknownUser Streamline velocity at the first cell. Keps model. Various time schemes.
pngpng Vx_comp106.png manage 10.4 K 2010-09-10 - 15:46 UnknownUser test
elsedes dune.des manage 1623.9 K 2010-09-13 - 17:04 UnknownUser Mesh file for the 2D hill
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Topic revision: r27 - 2018-11-28 - 22:02:28 - ConstantinosKatsamis
 

Computational Fluid Dynamics and Turbulence Mechanics
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