A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows

Abstract

For turbulent flows, estimation of the entire solution trajectory through a low-dimensional Reduced Order Model might be unfeasible due to the slow convergence of the Kolmogorov N-width, and due to the sensitivity of the dynamical system to perturbations.

Nevertheless, it might still be possible to estimate the time-averaged solution and associated quantities of interest.

In this poster, we propose a Reduced-Basis technique for the estimation of long-time-averaged solutions of parametrized turbulent flows. The key elements of our approach are (i) a Greedy technique for the construction of a low-dimensional reduced space, and (ii) a constrained POD-Galerkin formulation of the reduced solution.

The Greedy technique relies on a novel residual indicator for the error in the long-time-averaged solution.

We present a number of numerical examples to illustrate our approach, and to demonstrate the effectivity of the error indicator.

Journal

Title: ScienceOpen Posters

Publisher: ScienceOpen

Publication date (Electronic): 27 April 2018

Affiliations

[1 ]Laboratoire Jacques-Louis Lions, UPMC

[* ]Correspondence: taddei@ 123456ljll.math.upmc.fr

Article

DOI: 10.14293/P2199-8442.1.SOP-MATH.ZDVWFH.v1

Copyright statement: Copyright © 2018

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.