Non-intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives

DOI10.1007/978-3-030-48721-8_10zbMath1455.62159arXiv1901.02285OpenAlexW2909097035MaRDI QIDQ5141296

Gianluigi Rozza, Saddam Hijazi, Giovanni Stabile, Andrea Mola

Publication date: 18 December 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02285

zbMATH Keywords

Navier-Stokes equationsproper orthogonal decompositioncomputational fluid dynamicsuncertainty quantificationreduced order modelnon-intrusive polynomial chaos expansion

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stochastic approximation (62L20) Applications of statistics to physics (62P35) Statistical solutions of Navier-Stokes and related equations (76D06) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (2)

A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows ⋮ A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

Uses Software

• redbKIT

Cites Work

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