Numerical methods for the transition to wavy Taylor vortices

DOI10.1016/0021-9991(85)90090-7zbMath0576.76047OpenAlexW2064258934MaRDI QIDQ1064898

B. George

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90090-7

zbMATH Keywords

finite differencespectral methodeigenvalues for Taylor numbersnonaxisymmetric stabilityonset of waviness in Taylor vorticestwo-dimensional axisymmetric flows

Mathematics Subject Classification ID

Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items

Numerical simulation of Taylor-Couette flow of Bingham fluids ⋮ Nonlinear Taylor–Couette flow of helium II ⋮ Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges ⋮ The nonlinear evolution of magnetic instabilities in a rapidly rotating annulus ⋮ Numerical study of Taylor-Couette flow with an axial flow. ⋮ The stability of the Couette flow of helium II ⋮ Instability analysis of modulated Taylor vortices ⋮ αω-Dynamos and Taylor's constraint ⋮ Stability control and catastrophic transition in a forced Taylor–Couette system ⋮ Ekman vortices and the centrifugal instability in counter-rotating cylindrical Couette flow ⋮ Computations of transitions and Taylor vortices in temporally modulated Taylor-Couette flow ⋮ αω-Dynamos and Taylor's constraint ⋮ Onset of wavy vortices in the finite-length Couette–Taylor problem ⋮ Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method ⋮ Advances in Taylor vortex flow: A report on the fourth Taylor vortex flow working party meeting ⋮ Modulated Taylor–Couette flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
• Spectral multigrid methods for elliptic equations. II
• Computations of the axisymmetric flow between rotating cylinders
• Pivot selection and row ordering in Givens reduction on sparse matrices
• A numerical study of wide-gap Taylor vortices
• On the torque of wavy vortices
• A Note on the Work Involved in No-fill Sparse Matrix Factorization
• The stabilizing role of differential rotation on hydromagnetic waves
• Numerical investigation of supercritical Taylor-vortex flow for a wide gap
• Fast viscous bénard convection
• Nonlinear Taylor vortices and their stability
• Transition to time-dependent convection
• On flow between counter-rotating cylinders
• Three-dimensional tertiary motions in a plane shear layer
• A Compact Storage Scheme for the Solution of Symmetric Linear Simultaneous Equations
• On the instability of Taylor vortices
• Three-Dimensional Study of Flow between Concentric Rotating Cylinders
• Accurate solution of the Orr–Sommerfeld stability equation
• The growth of Taylor vortices in flow between rotating cylinders