Interpolation of Transonic Flows Using a Proper Orthogonal Decomposition Method [PDF]
International Journal of Aerospace Engineering, 2013 A proper orthogonal decomposition (POD) method is used to interpolate the flow around an airfoil for various Mach numbers and angles of attack in the transonic regime.
Benoit Malouin +2 more
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Enhancing hydrodynamic efficiency in Autonomous Underwater Vehicles (AUVs) utilizing adjoint method and proper orthogonal decomposition. [PDF]
PLoS ONEIn recent years, there has been a significant need for high-performing and efficient Autonomous Underwater Vehicles (AUVs). This is primarily because of their use in offshore mineral exploitation and oceanographic research.
Shorob Alam Bhuiyan +2 more
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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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Unsteady characteristics analysis of compressors based on the proper orthogonal decomposition method [PDF]
AIP AdvancesAn aero-engine is often accompanied by a strong unsteady flow at near-stall condition, and increasing unsteady airflow eventually makes the engine unstable. To explore the unsteady flow characteristics, the Rotor 37 was taken as the research object.
Shan Ma +4 more
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An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations [PDF]
SIAM Journal on Numerical Analysis, 2016 The definition of partial differential equation (PDE) models usually involves a set of parameters whose values may vary over a wide range. The solution of even a single set of parameter values may be quite expensive.
Gunzburger, Max +2 more
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Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows [PDF]
SIAM Journal on Numerical Analysis, 2021 Proper orthogonal decomposition (POD) stabilized methods for the Navier-Stokes equations are considered and analyzed. We consider two cases, the case in which the snapshots are based on a non inf-sup stable method and the case in which the snapshots are based on an inf-sup stable method.
Julia Novo, Samuele Rubino
openalex +7 more sources
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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Comparison of the Atmospheric 200 hPa Jet’s Analyses between Proper Orthogonal Decomposition and Advanced Dynamic Mode Decomposition Method [PDF]
Advances in Meteorology, 2020 In this paper, a frequently employed technique named the sparsity-promoting dynamic mode decomposition (SPDMD) is proposed to analyze the velocity fields of atmospheric motion.
Mei Gao +5 more
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A Group Condensation Method Based on Proper Orthogonal Decomposition
Yuanzineng kexue jishu, 2023 The group condensation is a key process of the two-step method and is the guarantee of efficiency of the two-step method. However, the group condensation of the two-step method also reduces the energy resolution and leads to the calculation errors.
WU Shifu;ZHANG Qian;ZHANG Jinchao;ZHAO Qiang
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Application Exploration of Flow Field Prediction in Free Jet Tests Based on Proper Orthogonal Decomposition Method [PDF]
Applied SciencesThis study focuses on the demand for rapid prediction of the flow field of aero-engine inlet free jet tests and explores the application of radial basis function interpolation (RBF) and backpropagation neural network (BPNN) methods. The proper orthogonal
Juanjuan Wang +6 more
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