DNS–PDF Simulation of Turbulent Mixing in a Reactive Planar Jet

  • Tomoaki Watanabe
  • Yasuhiko Sakai
  • Kouji Nagata
  • Yasumasa Ito
  • Osamu Terashima
  • Toshiyuki Hayase
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 402)


Probability density function (PDF) method is implemented in direct numerical simulation (DNS) to simulate turbulent reactive flows (DNS–PDF method). In the DNS–PDF method, a flow field and a non reactive scalar are predicted by the DNS, whereas reactive scalars are predicted by the Lagrangian PDF method, in which a transport equation of joint PDF of reactive scalars is solved by using a large number of notional particles. A mixing time scale for a mixing model used in the PDF method is directly estimated from the DNS result. In the present model for the mixing time scale, the effect of distance between notional particles is implicitly taken into account. The DNS–PDF method is applied to a planar jet with a second-order chemical reaction. The results show that the DNS–PDF method can accurately predict the rms value of mixture fraction fluctuation, and the present model for the mixing time scale is valid. It is also found that the DNS–PDF method can accurately predict mean concentrations of reactive species.


Numerical Simulation Mixing Chemical Reaction Turbulent Flow 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Tomoaki Watanabe
    • 1
  • Yasuhiko Sakai
    • 2
  • Kouji Nagata
    • 2
  • Yasumasa Ito
    • 2
  • Osamu Terashima
    • 2
  • Toshiyuki Hayase
    • 3
  1. 1.Research Fellow of Japan Society for the Promotion of ScienceNagoya UniversityNagoyaJapan
  2. 2.Nagoya UniversityNagoyaJapan
  3. 3.Tohoku UniversitySendaiJapan

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