Spectral proper orthogonal decomposition [PDF]
The identification of coherent structures from experimental or numerical data is an essential task when conducting research in fluid dynamics. This typically involves the construction of an empirical mode base that appropriately captures the dominant flow structures.
Moritz Sieber +2 more
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Physics-driven proper orthogonal decomposition: A simulation methodology for partial differential equations [PDF]
A simulation methodology derived from a learning algorithm based on Proper Orthogonal Decomposition (POD) is presented to solve partial differential equations (PDEs) for physical problems of interest.
Alessandro Pulimeno +6 more
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Dissipation-optimized proper orthogonal decomposition
We present a formalism for dissipation-optimized decomposition of the strain rate tensor (SRT) of turbulent flow data using Proper Orthogonal Decomposition (POD). The formalism includes a novel inverse spectral SRT operator allowing the mapping of the resulting SRT modes to corresponding velocity fields, which enables a complete dissipation-optimized ...
P. J. Olesen +4 more
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Proper Orthogonal Decomposition of Flow Past Parallel Twin Cylinders
The wake flow field around the parallel twin cylinders is complex, and a variety of complex wake patterns appear at different spacings. In this paper, based on the finite volume method, a numerical simulation of the flow around two-dimensional parallel ...
Jun-hui WANG, Shu-ling TIAN
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Gappy Spectral Proper Orthogonal Decomposition
Experimental spatio-temporal flow data often contain gaps or other types of undesired artifacts. To reconstruct flow data in the compromised or missing regions, a data completion method based on spectral proper orthogonal decomposition (SPOD) is developed.
Akhil Nekkanti, Oliver T. Schmidt
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The use of proper orthogonal decomposition for the simulation of highly nonlinear hygrothermal performance [PDF]
In this paper, the use of proper orthogonal decomposition for simulating nonlinear heat, air and moisture transfer is investigated via two applications: HAMSTAD benchmarks 2 and 3.
Hou Tianfeng, Roels Staf, Janssen Hans
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Order reduction of matrix exponentials by proper orthogonal decomposition
Many applications of the matrix exponential exp(At) of a real matrix A and a real parameter t require repeated evaluation of it for different values of t.
Mohammad Dehghan Nayyeri +1 more
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Hierarchical Approximate Proper Orthogonal Decomposition [PDF]
Proper Orthogonal Decomposition (POD) is a widely used technique for the construction of low-dimensional approximation spaces from high-dimensional input data. For large-scale applications and an increasing amount of input data vectors, however, computing the POD often becomes prohibitively expensive.
Himpe, C., Leibner, T., Rave, S.
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Non-Intrusive Reduced-Order Modeling Based on Parametrized Proper Orthogonal Decomposition
A new non-intrusive reduced-order modeling method based on space-time parameter decoupling for parametrized time-dependent problems is proposed. This method requires the preparation of a database comprising high-fidelity solutions.
Teng Li +4 more
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Bridge Health Monitoring Using Proper Orthogonal Decomposition and Transfer Learning
This study focuses on developing and examining the effectiveness of Transfer Learning (TL) for structural health monitoring (SHM) systems that transfer knowledge about damage states from one structure (i.e., the source domain) to another structure (i.e.,
Samira Ardani +2 more
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