Uncertainty Propagation in High-Dimensional Fields using Non-Intrusive Reduced Order Modeling and Polynomial Chaos
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 …
based modeling and simulation have become integral to the design of aircraft, but can have …
Accelerating hypersonic reentry simulations using deep learning-based hybridization (with guarantees)
In this paper, we are interested in the acceleration of numerical simulations. We focus on a
hypersonic planetary reentry problem whose simulation involves coupling fluid dynamics …
hypersonic planetary reentry problem whose simulation involves coupling fluid dynamics …
[PDF][PDF] Contribution to the mathematical and numerical analysis of uncertain systems of conservation laws and of the linear and nonlinear Boltzmann equation
G Poëtte - 2019 - hal.science
1.1 The (quadratic) Boltzmann equation and two of its limits.......... 4 1.1. 1 One
Hydrodynamic limit of Boltzmann equation................. 6 1.1. 2 The Linear Boltzmann equation …
Hydrodynamic limit of Boltzmann equation................. 6 1.1. 2 The Linear Boltzmann equation …
High-Dimensional Uncertainty Propagation in Aerodynamics using Polynomial Chaos-Kriging
View Video Presentation: https://doi. org/10.2514/6.2023-3766. vid Uncertainty propagation
in simulations with high-dimensional outputs, such as computational fluid dynamics, is …
in simulations with high-dimensional outputs, such as computational fluid dynamics, is …
Multigroup-like MC resolution of generalised Polynomial Chaos reduced models of the uncertain linear Boltzmann equation (+ discussion on hybrid intrusive/non …
G Poëtte - Journal of Computational Physics, 2023 - Elsevier
In this paper, we are interested in propagating uncertainties through the linear Boltzmann
equation. Such model is intensively used in neutronics, photonics, socio-economics …
equation. Such model is intensively used in neutronics, photonics, socio-economics …
Empirical Assessment of Non-Intrusive Polynomial Chaos Expansions for High-Dimensional Stochastic CFD Problems
Uncertainties in the atmosphere and flight conditions can drastically impact the performance
of an aircraft and result in certification delays. However, uncertainty propagation in high …
of an aircraft and result in certification delays. However, uncertainty propagation in high …
Design of linear parameter varying quadratic regulator in polynomial chaos framework
SC Hsu, R Bhattacharya - International Journal of Robust and …, 2020 - Wiley Online Library
We present a new theoretical framework for designing linear parameter varying (LPV)
controllers in the polynomial chaos (PC) framework. We assume the scheduling variable to …
controllers in the polynomial chaos (PC) framework. We assume the scheduling variable to …
An analogy between solving Partial Differential Equations with Monte-Carlo schemes and the Optimisation process in Machine Learning (and few illustrations of its …
In this document, we revisit classical Machine Learning (ML) notions and algorithms under
the point of view of the numerician, ie the one who is interested in the resolution of partial …
the point of view of the numerician, ie the one who is interested in the resolution of partial …