Automatic detection and branch switching methods for steady bifurcation in fluid mechanics

DOI10.1016/j.jcp.2011.02.004zbMath1316.76071OpenAlexW2006826695MaRDI QIDQ543783

J. M. Cadou, H. Boutyour, Y. Guevel

Publication date: 17 June 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.02.004

zbMATH Keywords

perturbation methodcontinuation methodNavier-Stokesbranch switchingstationary bifurcation

Mathematics Subject Classification ID

Related Items (11)

A high order reduction-correction method for Hopf bifurcation in fluids and for viscoelastic vibration ⋮ Parametric analysis of steady bifurcations in 2D incompressible viscous flow with high order algorithm ⋮ Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method ⋮ Results on existence for generalized \(nD\) Navier-Stokes equations ⋮ Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations ⋮ Bifurcation indicator based on meshless and asymptotic numerical methods for nonlinear poisson problems ⋮ Bifurcations and convective instabilities of steady flows in a constricted channel ⋮ High performance computations of steady-state bifurcations in 3D incompressible fluid flows by asymptotic numerical method ⋮ A global Stokes method of approximated particular solutions for unsteady two-dimensional Navier–Stokes system of equations ⋮ Numerical comparisons of high-order nonlinear solvers for the transient Navier-Stokes equations based on homotopy and perturbation techniques

Uses Software

• ARPACK

Cites Work

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