Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

L Cao, J Liu, C Jiang, G Liu - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
Polynomial chaos expansion has received considerable attention in uncertainty
quantification since its great modeling capability for complex systems. However, considering …

[HTML][HTML] A spectral surrogate model for stochastic simulators computed from trajectory samples

N Lüthen, S Marelli, B Sudret - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Stochastic simulators are non-deterministic computer models which provide a different
response each time they are run, even when the input parameters are held at fixed values …

[PDF][PDF] Whole-energy system models: The advisors for the energy transition

F Contino, S Moret, G Limpens… - Prog. Energy Combust …, 2020 - dial.uclouvain.be
Climate change is making the transition to more renewable and sustainable energy systems
an urgent global priority. Countries and communities around the world are developing their …

Efficient uncertainty quantification of stochastic problems in CFD by combination of compressed sensing and POD-Kriging

Q Lu, L Wang, L Li - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper proposes an uncertainty quantification method that combines compressed
sensing and POD-Kriging that inherits the benefits of each key element. The compressed …

[HTML][HTML] Global sensitivity analysis for multivariate outputs using polynomial chaos-based surrogate models

X Sun, YY Choi, JI Choi - Applied Mathematical Modelling, 2020 - Elsevier
We propose an efficient global sensitivity analysis method for multivariate outputs that
applies polynomial chaos-based surrogate models to vector projection-based sensitivity …

Efficient uncertainty quantification of CFD problems by combination of proper orthogonal decomposition and compressed sensing

A Mohammadi, K Shimoyama, MS Karimi… - Applied Mathematical …, 2021 - Elsevier
In the current paper, an efficient surrogate model based on combination of Proper
Orthogonal Decomposition (POD) and compressed sensing is developed for affordable …

A novel surrogate for extremes of random functions

H Xu, MD Grigoriu, KR Gurley - Reliability Engineering & System Safety, 2023 - Elsevier
Numerical solutions of stochastic problems require the representation of random functions in
their definitions by finite dimensional (FD) models, ie, deterministic functions of time and …

Uncertainty Propagation in High-Dimensional Fields using Non-Intrusive Reduced Order Modeling and Polynomial Chaos

N Iyengar, D Rajaram, K Decker… - AIAA SciTech 2023 Forum, 2023 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2023-1686. vid High-fidelity, physics-
based modeling and simulation have become integral to the design of aircraft, but can have …

Robust operational optimization of a typical micro gas turbine

W De Paepe, D Coppitters, S Abraham, P Tsirikoglou… - Energy Procedia, 2019 - Elsevier
Due to their high total efficiency and flexibility, micro Gas Turbines (mGTs) offer great
potential for use in small-scale distributed cogeneration applications. The economic success …

Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion

X Sun, X Pan, JI Choi - Journal of Computational and Applied Mathematics, 2021 - Elsevier
We propose a non-intrusive reduced-order modeling method based on proper orthogonal
decomposition (POD) and polynomial chaos expansion (PCE) for stochastic representations …