A Newton--Galerkin Method for Fluid Flow Exhibiting Uncertain Periodic Dynamics

DOI10.1137/15M104311XzbMath1382.76175OpenAlexW2252845384MaRDI QIDQ5890697

Vincent Heuveline, Michael Schick, O. P. le Ma

Publication date: 20 May 2016

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m104311x

zbMATH Keywords

stochastic Navier-Stokes equationsuncertainty quantificationpolynomial chaoslong term integrationstochastic limit-cyclestochastic period

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) 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 stochastic Galerkin method with adaptive time-stepping for the Navier-Stokes equations ⋮ multiUQ: a software package for uncertainty quantification of multiphase flows

Uses Software

• FEATFLOW
• HiFlow3

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