Linear stability analysis for the differentially heated rotating annulus

DOI10.1080/0309192042000204004zbMath1206.76021OpenAlexW2071159931MaRDI QIDQ3080162

Gregory M. Lewis, Wayne Nagata

Publication date: 5 March 2011

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0309192042000204004

zbMATH Keywords

differentially heated rotating fluid experimentaxisymmetric to nonaxisymmetric transitionnumerical computation of eigenvalues

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (4)

Direct numerical simulation of transitions towards structural vacillation in an air-filled, rotating, baroclinic annulus ⋮ Mixed-mode solutions in an air-filled differentially heated rotating annulus ⋮ The primary flow transition in a differentially heated rotating channel of fluid with \(\mathrm{O}(2)\) symmetry ⋮ Onset of convection induced by centrifugal buoyancy in a rotating cavity

Uses Software

• ARPACK

Cites Work

• Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
• An efficient code to compute non-parallel steady flows and their linear stability
• Hydrodynamic Stability Without Eigenvalues
• Pseudospectra of Linear Operators
• Double Hopf Bifurcations in the Differentially Heated Rotating Annulus
• Baroclinic annulus waves

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