Uncertainty Quantification at the Molecular–Continuum Model Interface †
Fluids, 2017 Non-equilibrium molecular dynamics simulations are widely employed to study transport fluid properties. Observables measured at the atomistic level can serve as inputs for continuum calculations, allowing for improved analysis of phenomena involving ...
Małgorzata J. Zimoń +3 more
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Axioms, 2020 A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of ...
Shaima M. Dsouza +3 more
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A Small Sample Prediction Method for Engineering p-S-N Curve [PDF]
Xibei Gongye Daxue Xuebao, 2018 Based on Non-intrusive Polynomial Chaos method, a small sample prediction method for engineering p-S-N curve that has a medium fatigue life is proposed.
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Uncertainty Analysis of Parameters in SST Turbulence Model for Shock Wave-Boundary Layer Interaction
Aerospace, 2022 Shock wave-boundary layer interactions (SWBLIs) have a tremendous influence on the performance of hypersonic vehicles. For the numerical simulation of such engineering flows, Reynolds averaged Navier-Stokes (RANS) still occupies an irreplaceable role ...
Kailing Zhang +4 more
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Non-intrusive polynomial chaos expansion for topology optimization using polygonal meshes [PDF]
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018 This paper deals with the applications of stochastic spectral methods for structural topology optimization in the presence of uncertainties. A non-intrusive polynomial chaos expansion is integrated into a topology optimization algorithm to calculate low-order statistical moments of the mechanical-mathematical model response.
Nilton Cuellar +3 more
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Sensitivity Study of Ice Accretion Simulation to Roughness Thermal Correction Model
Aerospace, 2021 The effects of atmospheric icing can be anticipated by Computational Fluid Dynamics (CFD). Past studies show that the convective heat transfer influences the ice accretion and is itself a function of surface roughness.
Kevin Ignatowicz +2 more
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To be or not to be intrusive? The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case [PDF]
, 2013 In parametric equations - stochastic equations are a special case - one may want to approximate the solution such that it is easy to evaluate its dependence of the parameters.
Giraldi, Loïc +5 more
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A cholesky-based SGM-MLFMM for stochastic full-wave problems described by correlated random variables [PDF]
, 2016 In this letter, the multilevel fast multipole method (MLFMM) is combined with the polynomial chaos expansion (PCE)-based stochastic Galerkin method (SGM) to stochastically model scatterers with geometrical variations that need to be described by a set of
Daniel, Luca +3 more
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Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification [PDF]
, 2014 Stochastic spectral methods are efficient techniques for uncertainty quantification. Recently they have shown excellent performance in the statistical analysis of integrated circuits.
Daniel, Luca +4 more
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Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method
IEEE Access, 2020 Due to manufacturing errors and material deteriorations in the metal rubber of clamps, the clamp stiffness of the pipeline is uncertain. This paper presents a non-intrusive multi-dimensional Chebyshev polynomial approximation method (M-CPAM) to evaluate ...
Xumin Guo +6 more
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