Proper Orthogonal Decomposition: Applications in Optimization and Control
نویسندگان
چکیده
منابع مشابه
Proper Orthogonal Decomposition for Optimality Systems
Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non–linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different ...
متن کاملExtension Ability of Reduced Order Model of Unsteady Incompressible Flows Using a Combination of POD and Fourier Modes
In this article, an improved reduced order modelling approach, based on the proper orthogonal decomposition (POD) method, is presented. After projecting the governing equations of flow dynamics along the POD modes, a dynamical system was obtained. Normally, the classical reduced order models do not predict accurate time variations of flow variables due to some reasons. The response of the dynam...
متن کاملHeat Transfer Enhancement of a Flat Plate Boundary Layer Distributed by a Square Cylinder: Particle Image Velocimetry and Temperature-Sensitive Paint Measurements and Proper Orthogonal Decomposition Analysis
The current empirical study was conducted to investigate the wall neighborhood impact on the two-dimensional flow structure and heat transfer enhancement behind a square cylinder. The low- velocity open-circle wind tunnel was used to carry out the study tests considering the cylinder diameter (D)-based Reynolds number (ReD) of 5130. The selected items to compare were different gap he...
متن کاملOptimality of Balanced Proper Orthogonal Decomposition for Data Reconstruction II: Further Approximation Results
In our earlier paper [Numer. Funct. Anal. Optim. 31 (2010), no. 7-9, 852-869], we showed two separate data sets can be optimally approximated using balanced proper orthogonal decomposition (POD) modes derived from the data. In this work, we prove new results concerning the approximation capability of the balanced POD modes. We give exact computable expressions for the errors between the individ...
متن کاملModel Order Reduction
This chapter presents an overview of Model Order Reduction – a new paradigm in the field of simulationbased engineering sciences, and one that can tackle the challenges and leverage the opportunities of modern ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques, a number of challenging problems remain intractable. These problems are of different ...
متن کامل