A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation
Numerical Analysis
2022-01-04 v1 Numerical Analysis
Abstract
We develop a Proper Orthogonal Decomposition (POD)-Galerkin based Reduced Order Model (ROM) for the efficient numerical simulation of the parametric Navier-Stokes equations in the stream function-vorticity formulation. Unlike previous works, we choose different reduced coefficients for the vorticity and stream function fields. In addition, for parametric studies we use a global POD basis space obtained from a database of time dependent full order snapshots related to sample points in the parameter space. We test the performance of our ROM strategy with the vortex merger benchmark. Accuracy and efficiency are assessed for both time reconstruction and physical parametrization.
Keywords
Cite
@article{arxiv.2201.00756,
title = {A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation},
author = {Michele Girfoglio and Annalisa Quaini and Gianluigi Rozza},
journal= {arXiv preprint arXiv:2201.00756},
year = {2022}
}
Comments
19 pages, 18 figures