Results 191 to 200 of about 51,908 (255)

Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition

International Journal for Numerical Methods in Engineering, 2021
Reduced‐order models are essential tools to deal with parametric problems in the context of optimization, uncertainty quantification, or control and inverse problems.
Pedro D'iez, A. Muixí, S. Zlotnik, Alberto Garc'ia-Gonz'alez   +3 more
semanticscholar   +1 more source

A critical review of flow field analysis methods involving proper orthogonal decomposition and quadruple proper orthogonal decomposition for internal combustion engines

International Journal of Engine Research, 2021
Experimental techniques like particle image velocimetry provide a powerful technical support for the analysis of the spatial and temporal evolution of the flow field in internal combustion engines. Such techniques can be used to investigate both ensemble-
Federico Rulli, S. Fontanesi, Alessandro d’Adamo, F. Berni   +3 more
semanticscholar   +1 more source

Determination of single and double helical structures in a swirling jet by spectral proper orthogonal decomposition

, 2021
This paper studies the coherent structures found in an annular swirling jet flow undergoing vortex breakdown with control parameters, the Reynolds number Re = 8500 and the swirl number Sw = 0.38.
Yanguo Zhang, M. Vanierschot
semanticscholar   +1 more source

A new approach to proper orthogonal decomposition with difference quotients

Advances in Computational Mathematics, 2021
In a recent work (Koc et al., SIAM J. Numer. Anal. 59 (4), 2163–2196, 2021 ), the authors showed that including difference quotients (DQs) is necessary in order to prove optimal pointwise in time error bounds for proper orthogonal decomposition (POD ...
Sarah Locke Eskew, J. Singler
semanticscholar   +1 more source

A New Look at Proper Orthogonal Decomposition

SIAM Journal on Numerical Analysis, 2003
Summary: We investigate some basic properties of the proper orthogonal decomposition (POD) method as it is applied to data compression and model reduction of finite dimensional nonlinear systems. First we provide an analysis of the errors involved in solving a nonlinear ODE initial value problem using a POD reduced order model.
Rathinam, Muruhan, Petzold, Linda R.
openaire   +2 more sources

Identification of three-dimensional flow features around a square-section building model via spectral proper orthogonal decomposition

, 2021
This study reproduced the main flow features around a square-section building model via a spectral proper orthogonal decomposition (SPOD) analysis, performed on the three-dimensional velocity field obtained by large eddy simulation.
Bingchao Zhang, R. Ooka, H. Kikumoto
semanticscholar   +1 more source

Preserving Symmetries in the Proper Orthogonal Decomposition

SIAM Journal on Scientific Computing, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aubry, Nadine, Lian, Wen-Yu, Titi, Edriss S.   +2 more
openaire   +2 more sources

Proper orthogonal decomposition of roof pressure

Journal of Wind Engineering and Industrial Aerodynamics, 1993
Abstract This paper illustrates application of the proper orthogonal decomposition in an investigation of the aerodynamic loading on a roof of a low-rise building. Pneumatically averaged pressure in a corner region of the roof, measured for concerning wind, was used in the analysis.
B. Bienkiewicz, H.J. Ham, Y. Sun
openaire   +1 more source

Kosambi and proper orthogonal decomposition

Resonance, 2011
In 1943 Kosambi published a paper titled ‘Statistics in function space’ in the Journal of the Indian Mathematical Society. This paper was the first to propose the technique of statistical analysis often called proper orthogonal decomposition today. This article describes the contents of that paper and Kosambi’s approach to the subject.
openaire   +1 more source

Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

Communications in Computational Physics, 2021
Summary: 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
openaire   +1 more source