A New Algorithm for Numerical Path Following Applied to an Example from Hydrodynamical Flow

DOI10.1137/0911067zbMath0724.65051OpenAlexW2030787165MaRDI QIDQ3212198

Jacques Huitfeldt, Axel Ruhe

Publication date: 1990

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0911067

zbMATH Keywords

singular pointsbifurcationTaylor problemturning pointssingular valuesincompressible viscous fluidReynolds numberpath following algorithmrotating cylinderssteady axisymmetric flowgeneralized linear eigenvalue problemEuler-Newton continuation methodpreconditioned Arnoldi algorithm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

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