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Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics
Communications in Computational Physics, 2021Summary: We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising discretization method for partial differential equations. The generalized-\(\alpha\) method for transient problems is used for additional flexibility in controlling high frequency dissipation.
Li, Richen, Wu, Qingbiao, Zhu, Shengfeng
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Proper orthogonal decomposition and its applications
Asia-Pacific Journal of Chemical Engineering, 2011AbstractThe proper orthogonal decomposition (POD) has become a very useful tool in the analysis and low‐dimensional modelling of flows. It provides an objective way of identifying the ‘coherent’ structures in a turbulent flow. The application of POD to the case of a thermally driven two‐dimensional flow of air in a horizontal rotating cylinder is ...
Sanjeev Sanghi, Nadeem Hasan
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Proper orthogonal decomposition of DLA clusters
Europhysics Letters (EPL), 1996We use the proper orthogonal decomposition to analyze the fluctuations around the mean of DLA clusters grown in a sector. These fluctuations are described as a superposition of orthogonal modes, which appear to have very well-defined shapes. These modes are invariants of the growth, and show a strong selection phenomenon which is reflected in the large-
J Elezgaray, F Tallet
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Proper Orthogonal Decomposition of Turbulent Channel Flow
2001The technique of the Proper Orthogonal Decomposition (POD) is applied to the case of the turbulent channel flow at Re = 40.000 (based on channel half width). The turbulent flow database is obtained with the use of a finite volume computational code for the numerical integration of the Navier-Stokes equations; for turbulence modeling, the LES approach ...
Alfonsi G. +3 more
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Pressure Preconditioning Using Proper Orthogonal Decomposition
SPE Reservoir Simulation Symposium, 2011Abstract We developed and implemented a new first-stage preconditioning method for large-scale reservoir simulation as an alternative to the popular Algebraic Multi Grid (AMG) method. We used Proper Orthogonal Decomposition (POD) to derive a reduced-order model for the linearized pressure equation in a proprietary reservoir simulator.
P. Astrid +3 more
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Proper orthogonal decomposition for pricing options
The Journal of Computational Finance, 2012In a paper that appeared in volume 2 (2011) of SIAM Financial Mathematics by R. Cont, N. Lantos and the author, it was shown that by writing the solution of the Black-Scholes partial dierential equation on a small set of basis functions the computing time can be dramatically reduced. In this study we show that it is in fact a P.O.D.
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Aeroservoelastic modeling with proper orthogonal decomposition
Physics of Fluids, 2017A physics-based, reduced-order, aeroservoelastic model of an F-18 aircraft has been developed using the method of proper orthogonal decomposition (POD), introduced to the field of fluid mechanics by Lumley. The model is constructed with data from high-dimensional, high-fidelity aeroservoelastic computational fluid dynamics (CFD-ASE) simulations that ...
Henry A. Carlson +2 more
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Multi-scale proper orthogonal decomposition (mPOD)
AIP Conference Proceedings, 2018We propose a novel data-driven decomposition referred to as Multi-scale Proper Orthogonal Decomposition (mPOD). This decomposition combines Multi-resolution Analysis (MRA) via Discrete Wavelet Transform (DWT) and Proper Orthogonal Decomposition (POD).
Mendez, Miguel Alfonso +2 more
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ECL BENCHMARK: APPLICATION OF THE PROPER ORTHOGONAL DECOMPOSITION
Mechanical Systems and Signal Processing, 2003The aim of this paper is to apply the proper orthogonal decomposition method to a non-linear system consisting of an experimental cantilever beam with a geometrical non-linearity.
Lenaerts, Vincent +2 more
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Probabilistic Proper Orthogonal Decomposition
2010Proper Orthogonal Decomposition (POD) is a method with much potential for identifying, locating and quantifying damage in structures [1-3]. POD can be interpreted as the maximum-likelihood solution to a probabilistic model called Probabilistic Principal Component Analysis (PPCA) [4].
HENSMAN J +3 more
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