Numerical Experiments on the Interaction Between the Large- and Small-Scale Motions of the Navier-Stokes Equations

DOI10.1137/S1540345902406240zbMath1146.76590OpenAlexW2012912447MaRDI QIDQ4653956

Jacob Yström, Heinz-Otto Kreiss, William D. Henshaw

Publication date: 1 March 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1540345902406240

zbMATH Keywords

stabilityNavier-Stokes equationsturbulenceBurgers' equationlarge and small scales

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10) Turbulence (76F99) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field, Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study, Effect of hyperviscosity on the geometry of the vorticity, Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids, The conditional Lyapunov exponents and synchronisation of rotating turbulent flows, Downscaling the 2D Bénard convection equations using continuous data assimilation, Continuous data assimilation using general interpolant observables, Parametrized invariant manifolds: a recipe for multiscale modeling?, Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements, Dimensional reduction for a Bayesian filter, Synchronization of low Reynolds number plane Couette turbulence, Determining modes and Grashof number in 2D turbulence: a numerical case study, Stochastic parameterization of the time-relaxation model of turbulence, Global attractors and determining modes for the 3D Navier-Stokes-Voight equations, A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics, Synchronization of turbulence in channel flow, Continuous data assimilation for the 2D Bénard convection through velocity measurements alone