This chapter reviews techniques of model reduction of fluid dynamics systems. Fluid systems
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …

This report has two main goals. First, it numerically investigates three velocity–pressure
reduced order models (ROMs) for incompressible flows. The proper orthogonal …

Natural ventilation has generally remained the preferred choice for improving thermal
comfort and saving energy related to the built environment. To best represent the …

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∞(L 2) and …

An adaptation of the Inverse Distance Weighting (IDW) method to the Grassmann manifold is
carried out for interpolation of parametric POD bases. Our approach does not depend on the …

Research in diffusion phenomena was started by brilliant scientists in the nineteenth
century, and by the twentieth century, this phenomenon became widespread in many areas …

Modeling large systems usually requires metamodels or response surfaces (RSs) of sub-
systems. These metamodels are using sampling points in a parameter domain and related …

Proper Generalized Decomposition (PGD) is a method which consists in looking for the
solution to a problem in a separate form. This approach has been increasingly used over the …

The pressure term which appears in the ROM (reduced order model) associated to the
incompressible Navier–Stokes equations, in particular for the shear flows, plays an …

Reduced order models (ROMs) in fluid dynamics are nowadays mostly developed by
performing a projection of the Navier–Stokes equations onto a low-dimensional space basis …