  This article presents error bounds for a velocity-pressure segregated POD
reduced order model discretization of the Navier-Stokes equations. The
stability is proven in L infinity (L 2 ) and energy norms for velocity, with
bounds that do not depend on the viscosity, while for pressure it is proven in
a semi-norm of the same asymptotic order as the L 2 norm with respect to the
mesh size. The proposed estimates are calculated for the two flow problems, the
flow past a cylinder and the lid-driven cavity flow. Their quality is then
assessed in terms of the predicted logarithmic slope with respect to the
velocity POD contribution ratio. We show that the proposed error estimates
allow a good approximation of the real errors slopes and thus a good prediction
of their rate of convergence.
