Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches [PDF]
, 2016 Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random geometry variations which involve a large number of variables. This paper
Litvinenko, Alexander +3 more
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UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
Jixie qiangdu, 2022 The uncertainty analysis of test results of nonlinear system shows the dispersion of test results. In this paper, an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested.
YU HuiJie +5 more
doaj
Optimized sparse polynomial chaos expansion with entropy regularization
Advances in Aerodynamics, 2022 Sparse Polynomial Chaos Expansion (PCE) is widely used in various engineering fields to quantitatively analyse the influence of uncertainty, while alleviating the problem of dimensionality curse.
Sijie Zeng +3 more
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A stochastic framework to model bending of textile antennas [PDF]
, 2014 The polynomial chaos expansion is combined with a dedicated cylindrical cavity model to quantify the statistical variations in textile antenna performance under random bending ...
Boeykens, Freek +4 more
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Stochastic Finite Element Analysis using Polynomial Chaos
Studia Geotechnica et Mechanica, 2016 This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical ...
Drakos S., Pande G.N.
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Data-driven sparse polynomial chaos expansion for models with dependent inputs
Journal of Safety Science and Resilience, 2023 Polynomial chaos expansions (PCEs) have been used in many real-world engineering applications to quantify how the uncertainty of an output is propagated from inputs by decomposing the output in terms of polynomials of the inputs.
Zhanlin Liu, Youngjun Choe
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Combining polynomial chaos expansions and genetic algorithm for the coupling of electrophysiological models [PDF]
, 2019 The number of computational models in cardiac research has grown over the last decades. Every year new models with di erent assumptions appear in the literature dealing with di erences in interspecies cardiac properties.
A Mahajan +17 more
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Projection Pursuit Adaptation on Polynomial Chaos Expansions
Computer Methods in Applied Mechanics and Engineering, 2022 The present work addresses the issue of accurate stochastic approximations in high-dimensional parametric space using tools from uncertainty quantification (UQ). The basis adaptation method and its accelerated algorithm in polynomial chaos expansions (PCE) were recently proposed to construct low-dimensional approximations adapted to specific quantities
Xiaoshu Zeng, Roger Ghanem
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Uncertainty quantification for fat-tailed probability distributions in aircraft engine simulations [PDF]
, 2017 Rare event simulation is vital for industrial design because some events, so-called black swans, can have fatal consequences despite their low probability of occurrence.
Ahlfeld, R +3 more
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A conditional stochastic projection method applied to a parametric vibrations problem
Journal of Civil Engineering and Management, 2014 Parametric vibrations can be observed in cable-stayed bridges due to periodic excitations caused by a deck or a pylon. The vibrations are described by an ordinary differential equation with periodic coefficients.
Wlodzimierz Brzakala, Aneta Herbut
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