Resolvent analysis of an airfoil laminar separation bubble at Re=500000

Network broadcast analysis and control of turbulent flows

“…We also note that the concept of choosing a finite time horizon is adopted in a similar fashion in the discounted resolvent analysis (Jovanović 2004; Yeh & Taira 2019; Yeh et al. 2020). As shown in figure 3, this choice of also satisfies for all , allowing for the Katz function to reduce to the resolvent form.…”

“…Therefore, we utilize the eddy turnover time t * to choose the age-downweighting parameter γ = 1/t * and set the value of the walk-downweighting parameter α = e −Δt k /t * such that the information intensity downweighted by a walk within the time slice t k is equal to that due to the march to the next time slice t k+1 , as in (2.8). We also note that the concept of choosing a finite time horizon is adopted in a similar fashion in the discounted resolvent analysis (Jovanović 2004;Yeh & Taira 2019;Yeh et al 2020). As shown in figure 3, this choice of α also satisfies α < 1/ρ(A k ) for all k, allowing for the Katz function to reduce to the resolvent form.…”

Unsteady control of supersonic turbulent cavity flow based on resolvent analysis

“…2020; Yeh et al. 2020, 2021) and synchronization analysis (Taira & Nakao 2018; Khodkar & Taira 2020) that incorporate numerical algorithms that accelerate computations, save on computational memory and enable sensor-based examinations.…”

“…Here, we consider the use of exponential discounting (Jovanović 2004; Yeh et al. 2020) to analyse the unstable base flow. This discounting approach applies a temporal damping to the variables in (2.6) as .…”

“…grid size) to describe the physics (Ribeiro, Yeh & Taira 2020; Yeh et al. 2020; Yeh, Gopalakrishnan Meena & Taira 2021). Combination of these techniques with modern control theory will set the stage to enable robust flow control analysis in a feedback manner to tame the dynamics of turbulent cavity flows.…”