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

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...

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Bibliographic Details
Published in:Computers & Fluids
Main Authors: Girfoglio M., Quaini A., Rozza G.
Other Authors: Girfoglio, M., Quaini, A., Rozza, G.
Format: Article in Journal/Newspaper
Language:English
Published: 2022
Subjects:
Galerkin projection
Navier–stokes equation
Proper orthogonal decomposition
Reduced order model
Stream function-vorticity formulation
Settore MAT/08 - Analisi Numerica
North Atlantic
Online Access:https://hdl.handle.net/20.500.11767/129110
https://doi.org/10.1016/j.compfluid.2022.105536
https://arxiv.org/abs/2201.00756
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Summary: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.

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