%0 Journal Article %D 2022 %T A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation %A Michele Girfoglio %A Annalisa Quaini %A Gianluigi Rozza %K Galerkin projection %K Navier–Stokes equations %K Proper orthogonal decomposition %K Reduced order model %K Stream function-vorticity formulation %X

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.

%P 105536 %8 2022/06/14/ %@ 0045-7930 %G eng %U https://www.sciencedirect.com/science/article/pii/S0045793022001645 %! Computers & Fluids