Results 201 to 210 of about 114,105 (252)

Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

SIAM Journal on Numerical Analysis, 2002
Summary: Error estimates for Galerkin proper orthogonal decomposition (POD) methods for nonlinear parabolic systems arising in fluid dynamics are proved. For the time integration the backward Euler scheme is considered. The asymptotic estimates involve the singular values of the POD snapshot set and the grid-structure of the time discretization as well
Kunisch, K., Volkwein, S.
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Proper orthogonal decomposition method in swirling flows applications

AIP Conference Proceedings, 2013
Developments of model reduction techniques for fluid dynamics applications have been widely analyzed, motivated mainly by the need to develop low costs effective computational models capturing as much of the flow physics as possible. In this paper, we investigate the efficiency of the proper orthogonal method's application in the reconstruction of the ...
Florica Ioana Dragomirescu, Romeo Susan-Resiga, Sebastian Muntean   +2 more
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Generalized finite element method using proper orthogonal decomposition

International Journal for Numerical Methods in Engineering, 2009
AbstractA methodology is presented for generating enrichment functions in generalized finite element methods (GFEM) using experimental and/or simulated data. The approach is based on the proper orthogonal decomposition (POD) technique, which is used to generate low‐order representations of data that contain general information about the solution of ...
Aquino, W., Brigham, J. C., Earls, C. J., Sukumar, N.   +3 more
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Galerkin proper orthogonal decomposition methods for parabolic problems

Numerische Mathematik, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kunisch, K., Volkwein, S.
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Proper orthogonal decomposition based online power-distribution reconstruction method

Annals of Nuclear Energy, 2019
Abstract A new online power-distribution reconstruction method based on the proper orthogonal decomposition (POD) is developed. The spatial basis functions, also called POD basis are extracted from the power-distribution samples, which are used to expand the power distribution.
Zhuo Li, Yu Ma, Liangzhi Cao, Hongchun Wu   +3 more
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A note on equivalence of proper orthogonal decomposition methods

Journal of Sound and Vibration, 2003
10.1016/S0022-460X(03)00032-4 ; Journal of Sound and Vibration ; 265 ; 5 ; 1103-1110 ...
Wu, G.G., Liang, Y.C., Lin, W.Z., Lee, H.P., Lim, S.P.   +4 more
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Proper orthogonal decomposition Pascal polynomial-based method for solving Sobolev equation

International Journal of Numerical Methods for Heat & Fluid Flow, 2021
Purpose This study aims to use the polynomial approximation method based on the Pascal polynomial basis for obtaining the numerical solutions of partial differential equations. Moreover, this method does not require establishing grids in the computational domain.
Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh   +2 more
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System identification and proper orthogonal decomposition method applied to unsteady aerodynamics

AIAA Journal, 2001
The representation of unsteady aerodynamic e owe elds in terms of global aerodynamic modes has proven to be a useful method for reducing the size of the aerodynamic model over those representations that use local variables at discrete grid points in the e ow e eld.
Deman Tang, Denis Kholodar, Jer-Nan Juang, Earl H. Dowell   +3 more
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Long‐time behavior of the proper orthogonal decomposition method

Numerical Linear Algebra with Applications, 2012
SUMMARYWe present explicit error bounds concerning the behavior of the proper orthogonal decomposition (POD) method when the data are drawn from long trajectories. We express the error of the POD method in terms of the canonical angle for systems with exponentially decaying behavior.
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A proper orthogonal decomposition method for nonlinear flows with deforming meshes

International Journal of Heat and Fluid Flow, 2013
Abstract This paper presents a proper orthogonal decomposition (POD) method that uses dynamic basis functions. The dynamic functions are of a prescribed form and do not explicitly depend on time but rather on parameters associated with flow unsteadiness.
Brian Freno, Paul Cizmas
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