Sentence examples for using the orthogonal decomposition from inspiring English sources

and using the orthogonal decomposition to extract X k,n) from x k,n), which is defined in a similar way to y k,n).

Reduced-order models are therefore derived using the proper orthogonal decomposition (POD) technique.

This work presents an object-oriented design for reduced-order modeling using the proper orthogonal decomposition (POD) technique.

The ROM is designed by projecting the non-linear shallow-water equations on a low-dimension basis, obtained using the proper orthogonal decomposition (POD) method.

Results are analyzed using the proper orthogonal decomposition (POD) to identify the effect of PIM on the coherent turbulent structures in the flow field.

The flow structures are analyzed using the proper orthogonal decomposition (POD) technique and the effect of tabs oscillation on vortices creation, suppression and dislocation is highlighted.

The analyses were performed using the Proper Orthogonal Decomposition (POD) technique for the flame front position as well as the velocity data pertaining to non-reacting flow condition.

The macro-instability (MI) of the velocity field was extracted from the experimental data using the proper orthogonal decomposition (POD) technique and spectral analysis.

It consists of three steps: First, empirical basis functions are designed using the 'Proper Orthogonal Decomposition' technique and a low-order lumped parameter system to represent the infinite-dimensional system is obtained by carrying out a Galerkin projection.

Although methods have previously been developed to identify time-varying models for simple linear and nonlinear structures using the proper orthogonal decomposition of a measured structural response, the application of these methods has been limited to cases where the excitation is either an initial condition or an applied load but not a combination of the two.

We propose to use the proper orthogonal decomposition approach with re-identification of output equations to obtain a reduced-order model of the original system.