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A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation

TitleA POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation
Publication TypeJournal Article
Year of Publication2022
AuthorsGirfoglio, M, Quaini, A, Rozza, G
Pagination105536
Date Published2022/06/14/
ISBN Number0045-7930
KeywordsGalerkin projection; Navier–Stokes equations; Proper orthogonal decomposition; Reduced order model; Stream function-vorticity formulation
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 well-known vortex merger benchmark and a more complex case study featuring the geometry of the North Atlantic Ocean. Accuracy and efficiency are assessed for both time reconstruction and physical parametrization.

URLhttps://www.sciencedirect.com/science/article/pii/S0045793022001645
Short TitleComputers & Fluids

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