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An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD)

Computer Methods in Applied Mechanics and Engineering, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Aquino
semanticscholar   +5 more sources

Reduced order modelling method via proper orthogonal decomposition (POD) for flow around an oscillating cylinder

Journal of Fluids and Structures, 2010
Abstract This paper presents reduced order modelling (ROM) in fluid–structure interaction (FSI). The ROM via the proper orthogonal decomposition (POD) method has been chosen, due to its efficiency in the domain of fluid mechanics. POD-ROM is based on a low-order dynamical system obtained by projecting the nonlinear Navier–Stokes equations on a ...
Liberge, Erwan, Hamdouni, Aziz
semanticscholar   +5 more sources

Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow

Advances in Water Resources, 2011
Abstract We develop a new Proper Orthogonal Decomposition (POD) reduced order model for saturated groundwater flow, and apply that model to an inverse problem for the hydraulic conductivity field. We use sensitivities as the POD basis. We compare the output when the optimizer uses the reduced order model against results obtained with a full PDE based
Corey Winton   +4 more
semanticscholar   +4 more sources

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

Journal of Computational Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehghan, Mehdi, Abbaszadeh, Mostafa
semanticscholar   +5 more sources

Proper orthogonal decomposition (POD) in the field of city and built environment: A review and outlook

Building and Environment
Dongdong Tian   +7 more
semanticscholar   +4 more sources

PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS

Journal of Sound and Vibration, 2001
Abstract This study employs the method of proper orthogonal decomposition (POD), also known as the Karhunen–Loeve (K–L) method, to extract dominant coherent structures (modes that approximate the system behavior) from time-series data. These mode shapes can be used in a Galerkin reconstruction process to obtain lower dimensional models for the ...
M.F.A. AZEEZ, A.F. VAKAKIS
openaire   +2 more sources

Model reduction for supersonic cavity flow using proper orthogonal decomposition (POD) and Galerkin projection

Applied Mathematics and Mechanics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Chao, Wan, Zhenhua, Sun, Dejun
openaire   +3 more sources

Order Reduction by Proper Orthogonal Decomposition (POD) Analysis

2004
The method of proper orthogonal mode decomposition (POD) or KarhunenLoeve decomposition (KLD) is a means of extracting spatial information from a set of time-series data available from a set of sensing locations over a domain. The POD can be used to obtain low-dimensional models or discrete or distributed dynamical systems by computing an orthogonal ...
Jan Awrejcewicz   +2 more
openaire   +2 more sources

A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate

Applied Numerical Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehghan, Mehdi, Abbaszadeh, Mostafa
openaire   +2 more sources

An extraction of the dominant rotor-stator interaction modes by the use of Proper Orthogonal Decomposition (POD)

Journal of Thermal Science, 2006
The Proper Orthogonal Decomposition method is applied to the instantaneous velocity field within the rotor-stator inter-row region of a high-speed high-pressure centrifugal compressor. The processed data come from experiments and numerical simulations.
N. Rochuon, I. Trébinjac, G. Billonnet
openaire   +2 more sources

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