Table of Contents
Math. Comput. Appl., Volume 24, Issue 2 (June 2019)
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Cover Story (view full-size image) In the following paper, we consider the problem of constructing a time-stable, reduced-order model [...] Read more. In the following paper, we consider the problem of constructing a time-stable, reduced-order model of the 3D turbulent and incompressible Navier–Stokes equations. The main idea is to be able to do an a priori analysis of different modes in order to arrange a POD basis in a different way, which is defined by the enforcement of the energetic dissipative modes within the first orders of the reduced order basis. This enables us to model the production and the dissipation of turbulent kinetic energy (TKE) in a separate fashion within the highly ranked new velocity modes, and hence ensure good stability of the reduced-order model. We show the importance of this a priori enrichment of the reduced basis on a typical aeronautical injector with Reynolds number of 45,000. We demonstrate the capacity of this order reduction technique to recover large-scale features for very long integration times (25 ms in our case). View this paper.