Application and Comparison of Two Different DNS Algorithms for Simulating Transition to Turbulence in Taylor-Green Vortex Flow

  • İlyas YılmazEmail author
  • Lars Davidson
  • Fırat O. Edis
  • Hasan Saygın
Part of the Springer Proceedings in Physics book series (SPPHY, volume 141)


An all-Mach number, fully implicit, non-dissipative DNS algorithm and an incompressible, dissipative DNS algorithmwere applied for simulating transition to turbulence in TGV flow to assess their behavior for this flow regime. The all-Mach number solver was developed and parallelized. A method was also adopted to remove oscillating pressure corrections in time. In order to compare the behavior of the algorithms, various flow diagnostics were calculated. The results were also compared to results given in the literature. The development of the flow and the peak structures show some differences due to different dissipative and energy conserving properties of the algorithms. However the physics of TGV flow are well captured by both, even though the grid is not fully resolved.


Mach Number Peak Structure Energy Cascade Implicit Algorithm Viscous Case 
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  1. 1.
    Taylor, G.I., Green, A.E.: Mechanism of the production of small eddies from large ones. Roy. Soc. London Proc. Series A 158, 499–521 (1937)zbMATHCrossRefGoogle Scholar
  2. 2.
    Brachet, M.E., Meiron, D.I., Orszag, S.A., Nickel, B.G., Morf, R.H., Frisch, U.: Small scale structure of the Taylor-Green vortex. J. Fluid Mechanics 130, 411–452 (1983)zbMATHCrossRefGoogle Scholar
  3. 3.
    Hou, Y., Mahesh, K.: A Robust, colocated, implicit algorithm for direct numerical simulation of compressible, turbulent flows. J. of Comp. Phy. 205, 205–221 (2005)zbMATHCrossRefGoogle Scholar
  4. 4.
    Davidson, L., Peng, S.-H.: Hybrid LES-RANS: A one-equation SGS model combined with a k-omega model for predicting recirculating flows. Int. J. Num. Meth. in Fluids 43, 1003–1018 (2003)zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • İlyas Yılmaz
    • 1
    Email author
  • Lars Davidson
    • 2
  • Fırat O. Edis
    • 3
  • Hasan Saygın
    • 4
  1. 1.Energy Inst.Istanbul Tech. Univ.MaslakTurkey
  2. 2.Div. of Fluid Dyn., Dept. of Appl. Mech.Chalmers Univ. of Tech.GothenburgSweden
  3. 3.Fac. of Aero. & Astro.Istanbul Tech. Univ.MaslakTurkey
  4. 4.Fac. of Engineering & ArchitectureIstanbul Aydın Univ.FloryaTurkey

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