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 parametric Navier–Stokes equations in stream function-vorticity formulation. Unlike previous works, we choose different reduced coefficients vorticity and function fields. In addition, studies use global POD basis space obtained from database time dependent full order snapshots related to sample points parameter space. test performance our ROM strategy with well-known vortex merger benchmark more complex case study featuring geometry North Atlantic Ocean. Accuracy efficiency are assessed both reconstruction physical parameterization.