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

Understand

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 vortex merger benchmark.