We use spectral proper orthogonal decomposition (SPOD) to extract and analyze coherent structures in the turbulent wake of a disk at Reynolds number $Re = 5 \times 10^{4}$ Froude numbers $Fr$ $2, 10$. find that SPOD eigenspectra both wakes exhibit low-rank behavior relative contribution modes total fluctuation energy increases with $x/D$. The vortex shedding (VS) mechanism, which corresponds $S...

We generalized a direct method for generalized Lyapunov matrix equation, using proper orthogonal decomposition (POD). Such equations arise in model reduction of descriptor systems.

In this article, we propose a new approach for model reduction of parameterized partial differential equations (PDEs) by a locally weighted proper orthogonal decomposition (LWPOD) method. The presented approach is particularly suited for large-scale nonlinear systems characterized by parameter variations. Instead of using a global basis to construct a global reduced model, LWPOD approximates th...

Particle proper orthogonal decomposition (PPOD) is demonstrated as a method for extraction of temporal statistical information on dispersed (discrete) phases multiphase flows. PPOD an extension the classical Eulerian POD, differentiating itself by its Lagrangian formulation and applicability to discrete in both stationary non-stationary The test case decaying homogeneous isotropic turbulence, w...

The modes delivered by proper orthogonal decomposition (POD) are uncorrelated as per definition; but interestingly, they not necessarily independent in terms of spatio-temporal flow-pattern dynamics. For instance, periodic structures that travel waves through a series snapshots often consist pairs with harmonic functions shifted 90 degree phase and/or spatial offset quarter the wave length conv...