Acta Mechanica Sinica

, Volume 32, Issue 1, pp 22–37 | Cite as

Large eddy simulation of boundary layer flow under cnoidal waves

  • Yin-Jun Li
  • Jiang-Bo Chen
  • Ji-Fu ZhouEmail author
  • Qiang Zhang
Research Paper


Water waves in coastal areas are generally nonlinear, exhibiting asymmetric velocity profiles with different amplitudes of crest and trough. The behaviors of the boundary layer under asymmetric waves are of great significance for sediment transport in natural circumstances. While previous studies have mainly focused on linear or symmetric waves, asymmetric wave-induced flows remain unclear, particularly in the flow regime with high Reynolds numbers. Taking cnoidal wave as a typical example of asymmetric waves, we propose to use an infinite immersed plate oscillating cnoidally in its own plane in quiescent water to simulate asymmetric wave boundary layer. A large eddy simulation approach with Smagorinsky subgrid model is adopted to investigate the flow characteristics of the boundary layer. It is verified that the model well reproduces experimental and theoretical results. Then a series of numerical experiments are carried out to study the boundary layer beneath cnoidal waves from laminar to fully developed turbulent regimes at high Reynolds numbers, larger than ever studied before. Results of velocity profile, wall shear stress, friction coefficient, phase lead between velocity and wall shear stress, and the boundary layer thickness are obtained. The dependencies of these boundary layer properties on the asymmetric degree and Reynolds number are discussed in detail.

Graphical abstract


Boundary layer structure Turbulence Large eddy simulation Cnoidal wave 



We very much appreciate the financial support to this work from the National Natural Science Foundation of China (Grants 11172307 and11232012) and 973 Program (2014CB046200).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Yin-Jun Li
    • 1
  • Jiang-Bo Chen
    • 1
  • Ji-Fu Zhou
    • 1
    Email author
  • Qiang Zhang
    • 2
  1. 1.Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of MechanicsChinese Academy of SciencesBeijingChina
  2. 2.School of Aerospace EngineeringBeijing Institute of TechnologyBeijingChina

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