Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis [PDF]
, 2018 We consider the frequency domain form of proper orthogonal decomposition (POD) called spectral proper orthogonal decomposition (SPOD). Spectral POD is derived from a space-time POD problem for statistically stationary flows and leads to modes that each ...
Colonius, Tim +2 more
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The performance of proper orthogonal decomposition in discontinuous flows
Theoretical and Applied Mechanics Letters, 2016 In this paper, flow reconstruction accuracy and flow prediction capability of discontinuous transonic flow field by means of proper orthogonal decomposition (POD) method is studied. Although linear superposition of “high frequency waves” in different POD
Jing Li, Weiwei Zhang
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Variational multiscale proper orthogonal decomposition: Navier‐stokes equations [PDF]
Numerical Methods for Partial Differential Equations, 2013 We develop a variational multiscale proper orthogonal decomposition (POD) reduced‐order model (ROM) for turbulent incompressible Navier‐Stokes equations. Under two assumptions on the underlying finite element approximation and the generation of the POD basis, the error analysis of the full discretization of the ROM is presented. All error contributions
Iliescu, Traian, Wang, Zhu
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Unsteady effects at the interface between impeller-vaned diffuser in a low pressure centrifugal compressor [PDF]
INCAS Bulletin, 2013 In this paper, Proper Orthogonal Decomposition (POD) is applied to the analysis of the unsteady rotor-stator interaction in a low-pressure centrifugal compressor.
Mihai Leonida NICULESCU, Sterian DANAILA
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Mean Reattachment Length of Roof Separation Bubbles Using Proper Orthogonal Decomposition
Applied Sciences, 2023 Investigating flow separation regions on the surfaces of three-dimensional bluff bodies in turbulent flows is important because these regions can induce significant aerodynamic loads.
Hee Jung Ham +3 more
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An Analysis of Galerkin Proper Orthogonal Decomposition for Subdiffusion [PDF]
, 2016 In this work, we develop a novel Galerkin-L1-POD scheme for the subdiffusion model with a Caputo fractional derivative of order $\alpha\in (0,1)$ in time, which is often used to describe anomalous diffusion processes in heterogeneous media.
Jin, Bangti, Zhou, Zhi
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Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order
Yuanzineng kexue jishu, 2023 The goal of high-fidelity burnup calculations is to accurately describe the nuclide composition of the reactor over its entire lifetime. As the core physics calculation method evolves to high-fidelity, the number of burnup regions will increase thousands
ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2
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From exceptional collections to motivic decompositions via noncommutative motives [PDF]
, 2012 Making use of noncommutative motives we relate exceptional collections (and more generally semi-orthogonal decompositions) to motivic decompositions. On one hand we prove that the Chow motive M(X) of every smooth proper Deligne-Mumford stack X, whose ...
Marcolli, Matilde, Tabuada, Goncalo
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Analysis of Multi-Stream Fuel Injector Flow Using Zonal Proper Orthogonal Decomposition
Energies, 2021 The 3-component velocity distribution of two lean-burn gas turbine fuel injectors are measured at a planar location near and parallel to the injector outlet.
Daniel Butcher, Adrian Spencer
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Proper Orthogonal Decomposition as Surrogate Model for Aerodynamic Optimization
International Journal of Aerospace Engineering, 2016 A surrogate model based on the proper orthogonal decomposition is developed in order to enable fast and reliable evaluations of aerodynamic fields. The proposed method is applied to subsonic turbulent flows and the proper orthogonal decomposition is ...
Valentina Dolci, Renzo Arina
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