LES using the two-equation PANS model



U velocity contours
U velocity contours for fk=0.1


PhD student: Jiamei Ma
jiameima@gmail.com
Supervisor: Lars Davidson
lada@chalmers.se
Co-supervisor: Shia-Hui Peng
peng@foi.se
Cooperation: Prof. Wang Fujun, College of Water Conservancy & Civil Engineering, China Agricultural University
wangfj@cau.edu.cn
Sponsors: China Scholarship Council
Publications: [1-4]
Start of project: September 2008
End of project: December 2010


BACKGROUND
LES is an appropriate method for flows that include turbulent fluctuations with large spatial scales. For this type of flow, a fairly coarse mesh can be used to resolve the large fluctuations. RANS in this type of flow is often a poor alternative, since the large fluctuations are difficult to accurately model with a RANS turbulence model. The problems for LES start when walls are introduced. The reason is that length scales of the largest fluctuations near walls are not large; hence a fine mesh must be used to resolve these fluctuations.

PROJECT
Navier-Stokes (PANS) modelling method is presented, which incorporates improved asymptotic representation in near-wall turbulence modelling. The effect of near-wall viscous damping can thus be better accounted for in simulations of wall-bounded turbulent flows. The proposed LRN PANS model uses an LRN k-eps model as the base model and introduces directly its model functions into the PANS formulation. As a result, the inappropriate wall-limiting behavior inherent in the original PANS model is corrected. An interesting feature of the PANS model is that the turbulent Prandtl numbers in the k and eps equations are modified compared to the base model. It is found that this modification has a significant effect on the modelled turbulence. The proposed LRN PANS model is scrutinized in computations of decaying grid turbulence, turbulent channel flow and periodic hill flow.

U velocity contours

U velocity contours for fk=0.4

 

 

 

 
REFERENCES
  1. J.M. Ma, L. Davidson, S.-H. Peng and F.J. Wang
    "Partially Averaged Navier-Stokes Modelling of Turbulent Channel Flow with and without Forcing", Turbulence, Heat and Mass Transfer 6, K. Hanjalic, Y. Nagano and S. Jakirlic (Editors), 2009 Begell House, Inc., 2009.
    View PDF file
     
  2. J.M. Ma, L. Davidson, S.-H. Peng and F.J. Wang
    "Partially Averaged Navier-Stokes Modelling of Turbulent Channel Flow with and without Forcing", Turbulence, Heat and Mass Transfer 6, K. Hanjalic, Y. Nagano and S. Jakirlic (Editors), 2009 Begell House, Inc., 2009.
    View PDF file
     
  3. J.M. Ma, S.-H. Peng, L. Davidson and F. Wang
    A Low Reynolds Number Partially-Averaged Navier-Stokes Model for Turbulence, 8th International ERCOFTAC Symposium on Engineering Turbulence, Modeling and Measurements, Marseille, France, 9-11 June, 2010.
    View PDF file
     
  4. Ma, J.M, S.-H. Peng, L. Davidson and F.J. Wang
    A low Reynolds number variant of partially-averaged Navier¿Stokes model for turbulence, Int. J. Heat Fluid Flow, Vol. 32, pp. 652-669, 2011.
    Get article at publisher's www page
    View PDF file of manuscript
     


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