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

DOI10.1137/130908919zbMath1311.76071OpenAlexW2043810751MaRDI QIDQ5892059

Michael Schick, Vincent Heuveline, Olivier P. Le Maître

Publication date: 14 January 2015

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130908919

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 (4)

Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws ⋮ Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier-Stokes equations ⋮ Parareal Time-Stepping for Limit-Cycle Computation of the Incompressible Navier-Stokes Equations with Uncertain Periodic Dynamics ⋮ Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos

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