Noise induced intermittency in a model of a turbulent boundary layer

DOI10.1016/0167-2789(89)90114-0zbMath0687.76055OpenAlexW1992632233MaRDI QIDQ1263430

Emily F. Stone, Philip J. Holmes

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90114-0

zbMATH Keywords

Navier-Stokes equationsprobability distributioneventsburstattracting heteroclinic cycles

Mathematics Subject Classification ID

Shear flows and turbulence (76F10)

Related Items (17)

Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation ⋮ Control of noisy heteroclinic cycles ⋮ On the nonlinear stability of the 1:1:1 ABC flow ⋮ A proper-orthogonal-decomposition–based model for the wall layer of a turbulent channel flow ⋮ Robust heteroclinic cycles ⋮ Interaction of adjacent bursts in the wall region ⋮ Coherence and chaos in a model of turbulent boundary layer ⋮ Interaction between longitudinal convection rolls and transverse waves in unstably stratified plane Poiseuille flow ⋮ Stochastic sensitivity analysis of nonautonomous nonlinear systems subjected to Poisson white noise ⋮ Effect of noise on excursions to and back from infinity ⋮ Low-dimensional chaotic dynamics versus intrinsic stochastic noise: a paradigm model ⋮ Homoclinic bifurcation in Blasius boundary-layer flow ⋮ Low dimensional models of the wall region in a turbulent boundary layer: new results ⋮ Application of dynamical system theory to coherent structures in the wall region ⋮ Stochastic modelling of a noise-driven global instability in a turbulent swirling jet ⋮ On the relation between low-dimensional models and the dynamics of coherent structures in the turbulent wall layer ⋮ Propagating structures in wall-bounded turbulent flows

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point
• Global bifurcations and chaos. Analytical methods
• On the structure of wall-bounded turbulent flows
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Structurally stable heteroclinic cycles
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
• The structure of turbulent boundary layers
• Differentiable dynamical systems
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