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 parameterization.

A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation / Girfoglio, M.; Quaini, A.; Rozza, G.. - In: COMPUTERS & FLUIDS. - ISSN 0045-7930. - 244:(2022). [10.1016/j.compfluid.2022.105536]

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

Girfoglio M.;Quaini A.;Rozza G.
2022

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 parameterization.
244
105536
https://arxiv.org/abs/2201.00756
Girfoglio, M.; Quaini, A.; Rozza, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/129110
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