Results 251 to 260 of about 113,908 (298)

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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A Method of Flow Field Reconstruction via Proper Orthogonal Decomposition

2010 2nd International Conference on Information Engineering and Computer Science, 2010
This paper presents a method for constructing flow fields with proper orthogonal decomposition (POD) basis functions or modes with great reduction on the computational cost. Using this approach, it is possible to construct the entire aerodynamic flow fields from the knowledge of computed aerodynamic data or measured flow data specified on the ...
Mao Ye, Min Xu, Hao Liu, Weigang Yao
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A modified proper orthogonal decomposition method for flow dynamic analysis

Computers & Fluids, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Yijia, Zhao, Ming, Li, Xiaojian, Liu, Zhengxian, Du, Juan   +4 more
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Assembly pin factor parameterization method based on the proper orthogonal decomposition

Annals of Nuclear Energy, 2020
Abstract The proper orthogonal decomposition (POD) is introduced into the assembly pin factor parameterization. The decomposition is performed first to the pin factors with specific discrete state parameters to capture the spatial characteristic of pin factors.
Zhuo Li, Yu Ma, Qian Zhang, Liangzhi Cao, Hongchun Wu, Yunzhao Li   +5 more
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Application of the Proper Orthogonal Decomposition Method for Cracked Rotors

Journal of Computational and Nonlinear Dynamics, 2018
The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked rotor system is investigated. The covariance matrices of the horizontal and vertical whirl amplitudes are formulated based on the numerical and experimental whirl response data for the considered cracked rotor system.
Mohammad A. Al-Shudeifat, Ayesha Al Mehairi, Adnan S. Saeed, Shadi Balawi   +3 more
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Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients

Journal of Computational and Applied Mathematics, 2020
The authors develop an efficient multiscale reduced basis method to solve the multiscale elliptic boundary value problem \[ -\nabla\cdot(a^\varepsilon(x,\omega)\nabla u^\varepsilon(x,\omega))=f(x),\ x\in D,\,\omega\in \varOmega, \quad u^\varepsilon(x,\omega)=0, \] where \(D\subset \mathbb{R}^d\) is bounded, \((\varOmega,\mathcal{F},\mathbb{P})\) is a ...
Dingjiong Ma, Wai-ki Ching, Zhiwen Zhang
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