The effect of noise on optimal perturbations for turbulent mixing

  • Sara Delport
  • Martine Baelmans
  • Johan Meyers
Part of the ERCOFTAC Series book series (ERCO, volume 15)


The evolution of a mixing layer is very sensitive to upstream flow conditions (Moser and Rogers, 1993). We optimize the initial flow conditions of a temporal mixing layer. We use this case as a substitute experiment to study how long flow control can affect the evolution of the mixing layer solution. In earlier work, we showed that optimization of the initial condition can be used to, e.g. increase the rate of kinetic energy dissipation at the end of a selected optimization time window significantly (Delport et al., 2009). The current paper focusses on longer time windows and addresses the robustness of the optima in presence of white noise.


Time Horizon Coherent Structure Adjoint Method Longe Time Horizon Optimal Perturbation 
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  1. 1.
    Delport S, Baelmans M, and Meyers J (2009) Constrained optimization of turbulent mixing-layer evolution. J. Turbul. 10(18). Google Scholar
  2. 2.
    Delport S, Baelmans M, and Meyers J (2010) Optimization of long-term mixing in a turbulent mixing layer. 5th Flow Control Conference, 28 June – 1 July 2010, Chicago, Illinois. AIAA 2010-4422. Google Scholar
  3. 3.
    Moser RD and Rogers MM (1993) The 3-dimensional evolution of a plane mixing layer – pairing and transition to turbulence. J. Fluid Mech. 247:275–320. zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringKatholieke Universiteit LeuvenLeuvenBelgium

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