Streamline derivative projection-based POD-ROM for convection-dominated flows. Part I : Numerical Analysis
Abstract
We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques used in Large Eddy Simulations (LES), such as Local Projection Stabilization (LPS), applied to standard models created by Proper Orthogonal Decomposition (POD) of flows with Galerkin projection. The numerical analysis of the fully Navier-Stokes discretization for the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Also, we suggest an efficient practical implementation of the stabilization term, where the stabilization parameter is approximated by the Discrete Empirical Interpolation Method (DEIM).
Keywords
Cite
@article{arxiv.1711.09780,
title = {Streamline derivative projection-based POD-ROM for convection-dominated flows. Part I : Numerical Analysis},
author = {Mejdi Azaïez and Tomás Chacón Rebollo and Samuele Rubino},
journal= {arXiv preprint arXiv:1711.09780},
year = {2017}
}
Comments
24 pages. arXiv admin note: text overlap with arXiv:1210.7389 by other authors