Efficient uncertain \(k_{\mathrm{eff}}\) computations with the Monte Carlo resolution of generalised polynomial chaos based reduced models

DOI10.1016/j.jcp.2022.111007OpenAlexW3100160596MaRDI QIDQ2133777

Emeric Brun, Gaël Poëtte

Publication date: 5 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111007

zbMATH Keywords

Monte Carlouncertainty quantificationneutronicsintrusivegeneralised polynomial chaos\(k_{\mathrm{eff}}\)

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)

Related Items (1)

Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation)

Uses Software

• Tripoli-4

Cites Work

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• Uncertainty propagation using Wiener-Haar expansions
• A gPC-based approach to uncertain transonic aerodynamics
• Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach
• Uncertainty quantification for systems of conservation laws
• An efficient, robust, domain-decomposition algorithm for particle Monte Carlo
• Monte-Carlo methods for the transport and diffusion equations
• Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods
• Making best use of model evaluations to compute sensitivity indices
• Kinetic models of collective decision-making in the presence of equality bias
• Spectral convergence of the generalized polynomial chaos reduced model obtained from the uncertain linear Boltzmann equation
• Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
• A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation
• Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties
• A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations
• Karhunen-Loève approximation of random fields by generalized fast multipole methods
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• On the convergence of generalized polynomial chaos expansions
• Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method
• On a Monte Carlo method for neutron transport criticality computations
• Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
• Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
• Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
• Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos

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