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A New Look at Proper Orthogonal Decomposition
SIAM Journal on Numerical Analysis, 2003We investigate some basic properties of the proper orthogonal decomposition (POD) method as it is applied to data compression and model reduction of finite dimensional nonlinear systems. First we provide an analysis of the errors involved in solving a nonlinear ODE initial value problem using a POD reduced order model.
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Cross proper orthogonal decomposition
Physical Review Fluids, 2021A new modal decomposition of fluid flows, labeled cross proper orthogonal decomposition (CPOD), is presented. CPOD modes are ranked by their contributions to the trace of the cross-covariance between flow fluctuations. An application of CPOD is presented for turbulent channel flow, with modes with maximal contribution to the Reynolds shear stress.
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