Low-dimensional models for turbulent plane Couette flow in a minimal flow unit

DOI10.1017/S0022112005005288zbMath1108.76031OpenAlexW1993075133MaRDI QIDQ5695805

Troy R. Smith, Philip J. Holmes, Jeff Moehlis

Publication date: 6 October 2005

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112005005288

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Shear flows and turbulence (76F10)

Related Items

Filtered POD-based low-dimensional modeling of the 3D turbulent flow behind a circular cylinder ⋮ Visualizing the geometry of state space in plane Couette flow ⋮ Bifurcation structure of two-dimensional viscous zonal flows on a rotating sphere ⋮ A proper-orthogonal-decomposition–based model for the wall layer of a turbulent channel flow ⋮ Low-dimensional models from upper bound theory ⋮ Reduced modeling of porous media convection in a minimal flow unit at large Rayleigh number ⋮ Dynamics of shear-layer coherent structures in a forced wall-bounded flow ⋮ Transient growth for streak-streamwise vortex interactions ⋮ Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition ⋮ Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial ⋮ Heteroclinic cycles and periodic orbits for the O(2)-equivariant 0:1:2 mode interaction ⋮ Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection ⋮ Forcing statistics in resolvent analysis: application in minimal turbulent Couette flow ⋮ Dynamical eigenfunction decomposition of turbulent pipe flow ⋮ Analysis of cyclic events in turbulent flows using recurrence plots ⋮ A sparse optimal closure for a reduced-order model of wall-bounded turbulence