This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …

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 …

A two-step online method is proposed for interpolating projection-based linear parametric
reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter …

This paper puts forth two new closure models for the proper orthogonal decomposition
reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale …

Solving large-scale PDE-constrained optimization problems presents computational
challenges due to the large dimensional set of underlying equations that have to be handled …

We propose a nonintrusive reduced‐order modeling method based on the notion of space‐
time‐parameter proper orthogonal decomposition (POD) for approximating the solution of …

The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

We consider the stationary Stokes and Navier--Stokes equations for viscous, incompressible
flow in parameter dependent bounded domains D_T, subject to homogeneous Dirichlet …

One approach to parametric and adaptive model reduction is via the interpolation of
orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …

In this paper, a double-disc rotor system with two support rolling bearings is reduced by the
proper orthogonal decomposition (POD) method. The finite element method (FEM) is used to …