Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Accurate solutions to the square thermally driven cavity at high Rayleigh number
Computers and Fluids
A stochastic projection method for fluid flow. I: basic formulation
Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Uncertainty propagation using Wiener-Haar expansions
Journal of Computational Physics
Multi-resolution analysis of wiener-type uncertainty propagation schemes
Journal of Computational Physics
A stochastic variational multiscale method for diffusion in heterogeneous random media
Journal of Computational Physics
Stochastic spectral methods for efficient Bayesian solution of inverse problems
Journal of Computational Physics
Journal of Computational Physics
Building Blocks for Computer Vision with Stochastic Partial Differential Equations
International Journal of Computer Vision
Generalized spectral decomposition for stochastic nonlinear problems
Journal of Computational Physics
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
Journal of Computational Physics
Uncertainty quantification and apportionment in air quality models using the polynomial chaos method
Environmental Modelling & Software
A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties
Journal of Computational Physics
Multi-element probabilistic collocation method in high dimensions
Journal of Computational Physics
Stochastic finite difference lattice Boltzmann method for steady incompressible viscous flows
Journal of Computational Physics
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems
Journal of Computational Physics
Journal of Computational Physics
Time-dependent generalized polynomial chaos
Journal of Computational Physics
Efficient solution for Galerkin-based polynomial chaos expansion systems
Advances in Engineering Software
Adaptive sparse polynomial chaos expansion based on least angle regression
Journal of Computational Physics
SIAM Journal on Scientific Computing
Structural and Multidisciplinary Optimization
SIAM Journal on Scientific Computing
Numerical schemes for dynamically orthogonal equations of stochastic fluid and ocean flows
Journal of Computational Physics
Journal of Computational Physics
Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis
Journal of Computational Physics
Hi-index | 31.53 |
An uncertainty quantification scheme is developed for the simulation of stochastic thermofluid processes. The scheme relies on spectral representation of uncertainty using the polynomial chaos (PC) system. The solver combines a Galerkin procedure for the determination of PC coefficients with a projection method for efficiently simulating the resulting system of coupled transport equations. Implementation of the numerical scheme is illustrated through simulations of natural convection in a 2D square cavity with stochastic temperature distribution at the cold wall. The properties of the uncertainty representation scheme are analyzed, and the predictions are contrasted with results obtained using a Monte Carlo approach.