Automatic detection and branch switching methods for steady bifurcation in fluid mechanics
type: Item
instance of: scholarly article
title: Automatic detection and branch switching methods for steady bifurcation in fluid mechanics
zbMATH Open document ID: 1316.76071
author: Y. Guevel
author: H. Boutyour
author: J. M. Cadou
published in: Journal of Computational Physics
publication date: 2011-06-17T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 5909544
zbMATH Keywords: stationary bifurcation
zbMATH Keywords: Navier-Stokes
zbMATH Keywords: branch switching
zbMATH Keywords: continuation method
zbMATH Keywords: perturbation method
describes a project that uses: ARPACK
MaRDI profile type: Publication
full work available at URL: j.jcp.2011.02.004
OpenAlex ID: W2006826695
cites work: A path-following technique via an asymptotic-numerical method
cites work: ANM for stationary Navier-Stokes equations and with Petrov-Galerkin formulation
cites work: A numerical method for the computation of bifurcation points in fluid mechanics
cites work: Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants
cites work: Application of the Asymptotic Numerical Method to the Coanda effect study
cites work: Q4214180
cites work: Further contributions on the two-dimensional flow in a sudden expansion
cites work: Stability of flow in a channel with a suddenly expanded part
cites work: Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows
cites work: A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities
cites work: A numerical algorithm coupling a bifurcating indicator and a direct method for the computation of Hopf bifurcation points in fluid mechanics
cites work: An algorithm for the computation of multiple Hopf bifurcation points based on Padé approximants
cites work: On the behaviour of the ANM continuation in the presence of bifurcations
cites work: Résolution des équations de Navier-Stokes et Détection des bifurcations stationnaires par une Méthode Asymptotique-Numérique
cites work: Q4856607
cites work: Mathematical and numerical connections between polynomial extrapolation and Padé approximants: applications in structural mechanics
cites work: Méthodes asymptotiques numériques pour la plasticité
cites work: A numerical continuation method based on Padé approximants
cites work: High-order predictor-corrector algorithms
cites work: Asymptotic–numerical methods and Pade approximants for non‐linear elastic structures
cites work: Practical bifurcation and stability analysis: from equilibrium to chaos.
cites work: Finite element method. Vol. 1: The basis.
cites work: Bifurcation of Low Reynolds Number Flows in Symmetric Channels
cites work: Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels
cites work: Iterative solvers and inflow boundary conditions for plane sudden expansion flows
cites work: ARPACK Users' Guide
cites work: A solver combining reduced basis and convergence acceleration with applications to non‐linear elasticity
DOI: 10.1016/J.JCP.2011.02.004
description: scientific article; zbMATH DE number 5909544