An algorithm for the computation of multiple Hopf bifurcation points based on Pade approximants

DOI10.1002/fld.2605zbMath1426.76263OpenAlexW1906545895MaRDI QIDQ2884026

Y. Guevel, G. Girault, J. M. Cadou

Publication date: 14 May 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2605

zbMATH Keywords

stabilityincompressible flowStokesviscous flowsNaviernonlinear solversgeneralize FEM

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Hydrodynamic stability (76E99)

Related Items

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, Multiple Hopf bifurcations and flow dynamics inside a 2D singular lid driven cavity, Results on existence for generalized \(nD\) Navier-Stokes equations, Automatic detection and branch switching methods for steady bifurcation in fluid mechanics, 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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