Modeling uncertainty in flow simulations via generalized polynomial chaos.
type: Item
instance of: scholarly article
title: Modeling uncertainty in flow simulations via generalized polynomial chaos.
zbMATH Open document ID: 1047.76111
DOI: 10.1016/S0021-9991(03)00092-5
author: Dongbin Xiu
author: George Em Karniadakis
published in: Journal of Computational Physics
publication date: 2003-05-20T00:00:00Z
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1913960
zbMATH Keywords: Polynomial chaos
zbMATH Keywords: Uncertainty
zbMATH Keywords: Fluids
zbMATH Keywords: Stochastic modeling
MaRDI profile type: Publication
cites work: An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
cites work: A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
cites work: Q3997987
cites work: Q5732117
cites work: Wiener-Hermite Expansion in Model Turbulence at Large Reynolds Numbers
cites work: Use of the Wiener—Hermite expansion for nearly normal turbulence
cites work: Dynamical Properties of Truncated Wiener-Hermite Expansions
cites work: Relationship between a Wiener–Hermite expansion and an energy cascade
cites work: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
cites work: Q5667007
cites work: Q4170993
cites work: Stochastic processes and orthogonal polynomials
cites work: The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
cites work: Ingredients for a general purpose stochastic finite elements implementation
cites work: Orthogonal functionals of the Poisson process
cites work: Q4131338
cites work: High-order splitting methods for the incompressible Navier-Stokes equations
cites work: Q4490850
cites work: Three-dimensional wake transition
cites work: Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step
cites work: Q4199478
cites work: The Rate of Convergence of Hermite Function Series
cites work: The Hermite Spectral Method for Gaussian-Type Functions
full work available at URL: s0021-9991(03)00092-5
OpenAlex ID: W2136602340
Recommended article: Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
Recommended article: Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
Recommended article: Uncertainty propagation in CFD using polynomial chaos decomposition
Recommended article: Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method
Recommended article: Uncertainty quantification for chaotic computational fluid dynamics
Recommended article: Long-time uncertainty propagation using generalized polynomial chaos and flow map composition
Recommended article: Uncertainty quantification in computational fluid dynamics
Recommended article: Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties
Recommended article: Stochastic approaches to uncertainty quantification in CFD simulations
Recommended article: Numerical prediction of the influence of uncertain inflow conditions in pipes by polynomial chaos
description: scientific article; zbMATH DE number 1913960