Network broadcast analysis and control of turbulent flows

We present a network-based modal analysis technique that identifies key dynamical paths along which perturbations amplify over time-varying base flow. This is built upon the Katz centrality, reveals flow structures can effectively spread time-evolving network of vortical interactions on Motivated by resolvent form function, we take singular value decomposition resulting communicability matrix, complementing for fluid flows. The right-singular vectors, referred to as broadcast modes, give insights into sensitive regions where introduced be and amplified entire fluid-flow evolves in time. apply this two-dimensional decaying isotropic turbulence. mode vortex dipoles are important spreading perturbations. By perturbing with principal mode, demonstrate utility gained from modify evolution turbulent current network-inspired work presents novel use guide control efforts, particular