Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non–linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different ...

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 fl...

To identify the spatiotemporal coherent structure of compressor tip leakage flow, spectral proper orthogonal decomposition (SPOD) is performed on near-tip flow field and blade surface pressure a low-speed rotor. The data used for SPOD analysis are obtained by delayed-detached eddy simulation, which validated against experimental data. investigated rotor governed two vortices (TLV), passage can ...

Reservoir modeling and simulation are vital components of modern reservoir management processes. Despite the advances in computing power advent smart technologies, implementation model-based operational/control strategies has been limited by inherent complexity models. Thus, reduce order models that not only cost but also provide geological consistent prediction essential. This article introduc...