POD-Based reduced-order models with deforming grids

Reduced-Order Subscales for POD models

In this work the Reduced-Order Subscales for Proper Orthogonal Decomposition models are presented. The basic idea consists in splitting the full-order solution into the part which can be captured by the reduced-order model and the part which cannot, the subscales, for which a model is required. The proposed model for the subscales is defined as a linear function of the solution of the reduced-o...

Reduced order models based on local POD plus Galerkin projection

A method is presented to accelerate numerical simulations on parabolic problems using a numerical code and a Galerkin system (obtained vía POD plus Galerkin projection) on a sequence of interspersed intervals. The lengths of these intervals are chosen according to several basic ideas that include an a priori estímate of the error of the Galerkin approximation. Several improvements are introduce...

Calibration of POD reduced-order models using Tikhonov regularization

Improvement of Reduced Order Modeling based on POD

This study focuses on stabilizing reduced order model (ROM) based on proper orthogonal decomposition (POD) and on improving the POD functional subspace. A modified ROM that incorporates directly the pressure term is proposed. The ROM is stabilized using Navier-Stokes equations residuals and exploiting ideas similar to the variational multiscale method. The POD functional subspace is improved th...

AIAA 2001–0926 Investigation of Non-Linear Projection for POD Based Reduced Order Models for Aerodynamics

In this paper a method for inviscid airfoil analysis and design optimization using reduced order models has been reviewed, modifications to the methodology are proposed, and new results of flow computations and design optimization are presented. The goal of these reduced order models is to obtain solutions to the Euler equations with sufficient accuracy for design optimization, at a computation...