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PANS Methodology Applied to Elliptic-Relaxation Based Eddy Viscosity Transport Model

  • Branislav Basara
  • Siniša Krajnović
  • Sharath Girimaji
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 110)

Abstract

The Partially-Averaged Navier-Stokes (PANS) approach is a recently proposed method which changes seamlessly from the Reynolds-Averaged Navier-Stokes (RANS) model equations to the direct numerical solution (DNS) of the Navier-Stokes equations as the unresolved-to-total ratios of kinetic energy and dissipation are varied. Two variants of the PANS model are derived up to now, one based on the k-ε formulation and the other based on the k-ω formulation.We introduce here another variant which is based on four equation eddy viscosity transport model, namely ζ-f turbulence model. Benefits of using such near wall model inside the PANS concept are clearly presented in this paper.

Keywords

Large Eddy Simulation Direct Numerical Simulation Wall Model Smagorinsky Model Direct Numerical Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Basara, B., Krajnović, S., Girimaji, S.: PANS vs. LES for computations of the flow around a 3D bluff body. In: Proc. of ERCOFTAC 7th Int. Symp. - ETMM7, Lymassol, Cyprus, vol. 2/3, pp. 548–554 (2008)Google Scholar
  2. 2.
    Chaouat, B., Schiestel, R.: A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows. Phys. Fluids 17, 1–19 (2005)Google Scholar
  3. 3.
    Girimaji, S., Jeong, E., Srinivasan, R.: Partially-Averaged Navier-Stokes Model for turbulence: Fixed point analysis and comparison with unsteady Partially Averaged Navier-Stokes. J. of Applied Mechanics 73, 422–429 (2006)zbMATHCrossRefGoogle Scholar
  4. 4.
    Girimaji, S.: Partially-Averaged Navier-Stokes Model for turbulence: A Reynolds- Averaged Navier-Stokes to Direct Numerical Simulation bridging method. J. of Applied Mechanics 73, 413–421 (2006)zbMATHCrossRefGoogle Scholar
  5. 5.
    Hanjalić, K., Popovac, M., Hadziabdic, H.: A robust near-wall elliptic-relaxation eddy-viscosity turbulence model for CFD. Int. J. of Heat and Fluid Flow 25, 1048–1051 (2004)Google Scholar
  6. 6.
    Krajnović, S.: Large eddy simulation of the flow around a tall finite cylinder. In: Flow, Turbulence and Combustion (2009) (accepted for publication)Google Scholar
  7. 7.
    Krajnović, S., Basara, B.: Numerical simulations of the flow around a tall finite cylinder using LES and PANS. In: Proc. of iTi Conference on Turbulence, Bertinoro, Italy (2008)Google Scholar
  8. 8.
    Park, C.-W., Lee, S.-J.: Flow structures around a finite circular cylinder embedded in various atmospheric boundary layers. Fluid Dynamics Research 30, 197–215 (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Branislav Basara
    • 1
  • Siniša Krajnović
    • 2
  • Sharath Girimaji
    • 3
  1. 1.Advanced Simulation TechnologiesAVL List GmbHGrazAustria
  2. 2.Department of Applied MechanicsChalmers University of TechnologyGothenburg
  3. 3.Aerospace Engineering DepartmentTexas A&M UniversityCollege StationUSA

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