An optimal projection method for the reduced-order modeling of incompressible flows

An optimal projection method for the reduced-order modeling of incompressible flows A new method to build reduced order models (ROMs) for incompressible flows is addressed in this paper. Proper orthogonal decompositions (PODs) are used to efficiently represent both the fluid velocity and pressure fields with a small number of spatial modes. A minimum-residual projection is then developed for building the reduced models in which the velocity and pressure temporal coefficients are fully coupled. Comparisons of numerical calculations based on the proposed approach with results arising from the classical Galerkin projection are exposed on three fluid flows: a transient ventilated cavity, a periodic lid-driven cavity and a transient mixed convection flow. It is shown that both stability and accuracy of the ROMs are strongly enhance when the minimum-residual projection is used. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computer Methods in Applied Mechanics and Engineering Elsevier

An optimal projection method for the reduced-order modeling of incompressible flows

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Publisher
Elsevier
Copyright
Copyright © 2011 Elsevier B.V.
ISSN
0045-7825
eISSN
1879-2138
D.O.I.
10.1016/j.cma.2011.04.020
Publisher site
See Article on Publisher Site

Abstract

A new method to build reduced order models (ROMs) for incompressible flows is addressed in this paper. Proper orthogonal decompositions (PODs) are used to efficiently represent both the fluid velocity and pressure fields with a small number of spatial modes. A minimum-residual projection is then developed for building the reduced models in which the velocity and pressure temporal coefficients are fully coupled. Comparisons of numerical calculations based on the proposed approach with results arising from the classical Galerkin projection are exposed on three fluid flows: a transient ventilated cavity, a periodic lid-driven cavity and a transient mixed convection flow. It is shown that both stability and accuracy of the ROMs are strongly enhance when the minimum-residual projection is used.

Journal

Computer Methods in Applied Mechanics and EngineeringElsevier

Published: Aug 1, 2011

References

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