Centre-manifold reduction of bifurcating flows
From MaRDI portal
Publication:3465967
DOI10.1017/jfm.2015.3zbMath1335.76028OpenAlexW2151773110MaRDI QIDQ3465967
No author found.
Publication date: 29 January 2016
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11311/938573
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Nonlinear effects in hydrodynamic stability (76E30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items
Multiscale model reduction for incompressible flows ⋮ Linear and weakly nonlinear analysis of Rayleigh–Bénard convection of perfect gas with non-Oberbeck–Boussinesq effects ⋮ A Ginzburg–Landau model for linear global modes in open shear flows ⋮ Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder ⋮ Interfacial pattern selection in defiance of linear growth ⋮ Numerical simulations of flow past three circular cylinders in equilateral-triangular arrangements ⋮ Constrained sparse Galerkin regression ⋮ 9 From the POD-Galerkin method to sparse manifold models ⋮ On the role of nonlinear correlations in reduced-order modelling
Cites Work
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- Direct simulations of turbulent flow using finite-difference schemes
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- A simple global characterization for normal forms of singular vector fields
- Low-dimensional modelling of dynamics via computer algebra
- A matching pursuit technique for computing the simplest normal forms of vector fields
- ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS
- A RECURSIVE APPROACH TO COMPUTE NORMAL FORMS
- A weakly nonlinear mechanism for mode selection in swirling jets
- Hydrodynamic Instabilities
- An asymptotic expansion for the vortex-induced vibrations of a circular cylinder
- Amplitude Equations for Systems with Competing Instabilities
- Sensitivity analysis and passive control of cylinder flow
- ARPACK Users' Guide
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Structural sensitivity of the first instability of the cylinder wake
- Global Linear Instability
- Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows
- Stability of flows past a pair of circular cylinders in a side-by-side arrangement
- Algorithm 832
- Nonlinear Stability Theory
