Journal of Shanghai Jiaotong University (Science)

, Volume 23, Issue 1, pp 190–201 | Cite as

Revised Three-Dimensional Navier-Stokes Characteristic Boundary Conditions for Intense Reactive Turbulence

  • Peipei Zhao (赵培培)
  • Lipo Wang (王利坡)


The three-dimensional Navier-Stokes characteristic boundary conditions (3D-NSCBC), although physically reasonable and popular in many applications, may encounter the instability problem in simulating complex flows, especially for large Reynolds number reactive turbulence where locally the strong reversed flow appears at the outflow boundary surfaces. In the present work, a revised 3D-NSCBC strategy is proposed based on the kinematic relation in different moving coordinate systems. Following this strategy, a systematic formulation is presented for the outflow surface with local reversed flow and can be easily extended to the coupled edge and corner boundaries. Direct numerical simulation (DNS) tests of flow with different turbulence intensities are carried out. Compared with the conventional 3D-NSCBC, the newly proposed method exhibits satisfactory performance to confine numerical instability in the strong reversed flow region. The results confirm the robustness and effectiveness of this newly proposed algorithm.

Key words

characteristic boundary condition turbulent flow direct numerical simulation reversed flow 

CLC number



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The authors are grateful to Prof. Chakraborty (Newcastle Univ.) for sharing the DNS code for numerical tests. LW acknowledges the funding support by National Science Foundation China (NSFC) under the grant No. 91441116, NSFC-CNRS joint research project (No. 11611130099, NSFC China, and PRC 2016-2018 LATUMAR “Turbulence lagrangienne: ´etudes num´eriques et applications environnementales marines”, CNRS, France).


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Copyright information

© Shanghai Jiaotong University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Peipei Zhao (赵培培)
    • 1
  • Lipo Wang (王利坡)
    • 1
  1. 1.University of Michigan - Shanghai Jiao Tong University Joint InstituteShanghai Jiao Tong UniversityShanghaiChina

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