The proper orthogonal decomposition in the analysis of turbulent flows
Abstract
The proper orthogonal decomposition (POD) technique is described, and its use in the analysis and modeling of turbulent flows is illustrated. It is argued that the POD can be used to address two types of questions typified by the following: (1) given a complex spatiotemporal signal, what can be determined, via the POD, concerning the system from which it originates; and (2) given a POD-Galerkin projection of a PDE such as the Navier-Stokes equation and the resulting finite-dimensional dynamical system, what can be learned about the behavior of the original PDE. The use of the POD in dynamical modeling is discussed in detail.
- Publication:
-
Annual Review of Fluid Mechanics
- Pub Date:
- 1993
- DOI:
- 10.1146/annurev.fl.25.010193.002543
- Bibcode:
- 1993AnRFM..25..539B
- Keywords:
-
- Orthogonal Functions;
- Turbulence Models;
- Turbulent Flow;
- Dynamic Models;
- Eigenvectors;
- Fourier Transformation;
- Shear Flow;
- Shot Noise;
- Stochastic Processes;
- Strange Attractors;
- Fluid Mechanics and Heat Transfer