Phase proper orthogonal decomposition of non-stationary turbulent flow

A phase proper orthogonal decomposition (phase POD) method is demonstrated utilizing averaging for the of spatiotemporal behavior statistically non-stationary turbulent flows in an optimized manner. The proposed POD herein applied to a periodically forced lid-driven cavity flow, implemented using snapshot algorithm. Space-phase modes are extracted describe dynamics chaotic which four central flow patterns identified describing evolution energetic structures as function phase. modal building blocks energy transport equation triadic interaction term can here be interpreted convective bi-modal interactions. Non-local transfer observed result non-stationarity dynamical processes inducing interactions spanning across wide range mode numbers.