https://cronfa.swan.ac.uk/Record/cronfa46460/Download/0046460-13122018163111.pdf

Non-linear model reduction for the Navier-Stokes equations using residual DEIM method

Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation

https://wias-berlin.de/preprint/1765/wias_preprints_1765.pdf

A numerical investigation of velocity-pressure reduced order models for incompressible flows

https://people.sc.fsu.edu/~inavon/pubs/CMAME-S-14-01634%205_Abstract.pdf

Non-intrusive reduced order modelling of the Navier-Stokes equations

We propose an improved framework for dynamic mode decomposition (DMD) of 2-D flows for problems originating from meteorology when a large time step acts like a filter in obtaining the significant Koopman modes, therefore, the classic DMD method is not effective. This study is motivated by the need to further clarify the connection between Koopman modes and proper orthogonal decomposition (POD) dynamic modes. We apply DMD and POD to derive reduced order models (ROM) of the shallow water equations. Key innovations for the DMD-based ROM introduced in this paper are the use of the Moore–Penrose pseudoinverse in the DMD computation that produced an accurate result and a novel selection method for the DMD modes and associated amplitudes and Ritz values. A quantitative comparison of the spatial modes computed from the two decompositions is performed, and a rigorous error analysis for the ROM models obtained is presented. Copyright © 2015 John Wiley & Sons, Ltd.

/pdf/an-improved-algorithm-for-the-shallow-water-equations-model-4j72osvab8.pdf

An improved algorithm for the shallow water equations model reduction: Dynamic Mode Decomposition vs POD

https://people.sc.fsu.edu/~inavon/pubs/JCOMP1.pdf

R. ŞTefnescu

Papers

POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model