TY - JOUR T1 - A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation Y1 - 2022 A1 - Michele Girfoglio A1 - Annalisa Quaini A1 - Gianluigi Rozza KW - Galerkin projection KW - Navier–Stokes equations KW - Proper orthogonal decomposition KW - Reduced order model KW - Stream function-vorticity formulation AB -
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.
SN - 0045-7930 UR - https://www.sciencedirect.com/science/article/pii/S0045793022001645 JO - Computers & Fluids ER -