Numerical approximation of statistical solutions of planar, incompressible flows

DOI10.1142/S0218202516500597zbMath1416.76184OpenAlexW2519239871MaRDI QIDQ3181120

Filippo Leonardi, Christoph Schwab, Siddhartha Mishra

Publication date: 22 December 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202516500597

zbMATH Keywords

Navier-Stokes equationsvorticity formulationmulti-level Monte Carlostatistical solutions

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Finite difference methods applied to problems in fluid mechanics (76M20) Stochastic analysis applied to problems in fluid mechanics (76M35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Compressible fluid motion with uncertain data ⋮ Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system ⋮ On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data ⋮ Statistical solutions of the incompressible Euler equations

Uses Software

• PETSc

Cites Work

• Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
• Long-term behavior of polynomial chaos in stochastic flow simulations
• Sur les solutions statistiques des équations de Navier-Stokes
• Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier–Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
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