The effect of noise on optimal perturbations for turbulent mixing
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.
KeywordsTime Horizon Coherent Structure Adjoint Method Longe Time Horizon Optimal Perturbation
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