Numerical investigation of the first bifurcation for the flow in a rotor-stator cavity of radial aspect ratio 10

DOI10.1016/S0045-7930(01)00059-7zbMath1004.76060MaRDI QIDQ1598010

Olivier Daube, Patrick Le Quéré

Publication date: 6 February 2003

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

Jacobianlinear stabilityspectrumtime integrationsevolution operatorsubcritical Hopf bifurcationARPACK libraryrotor-stator disk flowstransition to unsteadiness

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (3)

A finite difference method for 3D incompressible flows in cylindrical coordinates ⋮ Coupled numerical and theoretical study of the flow transition between a rotating and a stationary disk ⋮ Competition between axisymmetric and three-dimensional patterns between exactly counter-rotating disks

Uses Software

• eigs
• ARPACK
• IRAM

Cites Work

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• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• From onset of unsteadiness to chaos in a differentially heated square cavity
• Pseudospectra of Linear Operators
• ARPACK Users' Guide
• Asymmetry and Hopf bifurcation in spherical Couette flow
• Turbulence modeling of confined flow in rotating disk systems
• Description des couches limites des écoulements stationnaires interdisques en configuration rotor-stator
• Structuration de la solution stationnaire des écoulements interdisques en configuration rotor-stator

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