Constrained Large-Eddy Simulation for Aerodynamics

  • Zhenhua XiaEmail author
  • Zuoli Xiao
  • Yipeng Shi
  • Shiyi Chen
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 130)


A constrained large-eddy simulation (CLES) method for wall-bounded compressible flow is introduced and validated via simulations of several typical flow configurations, including compressible turbulent channel flow, flow past a NACA0021 airfoil at 60\(^\circ \) angle of attack, and compressible flow past a Delta wing. In the wall-bounded compressible CLES method, the whole flow domain is solved using large-eddy simulation (LES) technique, but the subgrid-scale (SGS) stress and heat flux are constrained by given models for the Reynolds stress and heat flux in the near-wall region. For attached flows, CLES method can eliminate the non-physical Log-Layer Mismatch phenomenon appearing in hybrid RANS/LES methods, and can predict the mean velocity and temperature profiles more accurately as compared with traditional LES and detached-eddy simulation (DES) approaches. For detached flows, CLES method can calculate the skin friction force more precisely than traditional LES method, and is comparable to DES technique in prediction of the aerodynamic statistics. For both cases, CLES method can capture fruitful multiscale turbulent structures, which are lacking in DES, and can successfully overcome the coarse-grid effect observed in traditional LES method. Therefore, it is suggested that the present CLES method could be a promising numerical simulation tool for wall-bounded compressible turbulent flows in the realm of aerodynamics.


Delta Wing CLES Method NACA0021 Airfoil RANS Simulation Total Reynolds Stress 
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.



This work was support from National Natural Science Foundation of China (Grant No. 91130001, 11302006 and 11221061) and National Basic Research Program of China (Grant No. 2009CB724101). Author Z. Xia wants to thank the support from National Science Foundation for Postdoctoral Scientists of China (Grant No. 2012M520109).


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Zhenhua Xia
    • 1
    Email author
  • Zuoli Xiao
    • 2
  • Yipeng Shi
    • 2
  • Shiyi Chen
    • 2
  1. 1.SKLTCS, College of EngineeringPeking UniversityBeijingPeople’s Republic of China
  2. 2.SKLTCS & CAPT, College of EngineeringPeking UniversityBeijingPeople’s Republic of China

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