Seminar

Pressure Recovery for Reduced Order Models of the Incompressible Navier-Stokes Equations

For incompressible flow models, the pressure term serves as a Lagrange multiplier to ensure that the incompressibility constraint is satisfied. In engineering applications, the pressure term is necessary for calculating important quantities based on stresses like the lift and drag. For reduced order models (ROMs) generated via a Proper Orthogonal Decomposition (POD), it is common for the pressure to drop out of the equations and produce a velocity-only ROM.