Physics-driven proper orthogonal decomposition: A simulation methodology for partial differential equations [PDF]
MethodsX, 2023 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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Proper Orthogonal Decomposition of Flow Past Parallel Twin Cylinders
气体物理, 2023 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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The use of proper orthogonal decomposition for the simulation of highly nonlinear hygrothermal performance [PDF]
MATEC Web of Conferences, 2019 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
Results in Applied Mathematics, 2023 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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Non-Intrusive Reduced-Order Modeling Based on Parametrized Proper Orthogonal Decomposition
Energies, 2023 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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Sparse sensor-based flow estimation with spectral proper orthogonal decomposition
AIP Advances, 2022 The application of Artificial Neural Networks (ANNs) in developing sensor-based estimators for unsteady flows has become an active area of research over the last decade.
Henrique Gambassi +2 more
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Bridge Health Monitoring Using Proper Orthogonal Decomposition and Transfer Learning
Applied Sciences, 2023 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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Comparative Study on Modal Decomposition Methods of Unsteady Separated Flow in Compressor Cascade
Xibei Gongye Daxue Xuebao, 2020 The present work investigated the vortex structure and fluctuation frequency characteristics generated by boundary layer separation of a high-load compressor cascade using modal decomposition methods.
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Proper orthogonal decomposition method for Schrödinger equation
Lietuvos Matematikos Rinkinys, 2013 In this paper we consider the proper orthogonal decomposition (POD) method for one-dimensional Schrödinger equation. We begin of the review of basic ideas of POD. Later this method is applied to study the linear Schrödinger equation.
Raimondas Čiegis +2 more
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Proper orthogonal decomposition method for some parabolic type equations
Lietuvos Matematikos Rinkinys, 2012 In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived.
Gerda Jankevičiūtė +2 more
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