Fully nonlinear oscillatory convection in a rotating layer

DOI10.1063/1.869311zbMath1185.76594OpenAlexW2009566600MaRDI QIDQ5755708

Keith Julien, Edgar Knoblauch

Publication date: 15 August 2007

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

Full work available at URL: https://semanticscholar.org/paper/4b830281bf253b66f241b33dd8aa116da001bad1

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05) Forced convection (76R05)

Related Items

Staircase solutions and stability in vertically confined salt-finger convection, Geostrophic Turbulence and the Formation of Large Scale Structure, Fully nonlinear three-dimensional convection in a rapidly rotating layer, Saturation of the magnetorotational instability, Strongly nonlinear Langmuir circulation and Rayleigh–Bénard convection, Mean flow instabilities of two-dimensional convection in strong magnetic fields, Strongly nonlinear magnetoconvection in three dimensions, Mean-field equations for weakly nonlinear two-scale perturbations of forced hydromagnetic convection in a rotating layer, Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems

Cites Work

• Cellular convection with finite amplitude in a rotating fluid
• The Takens-Bogdanov bifurcation with O(2)-symmetry
• A high order method for the numerical solution of two-point boundary value problems
• Modal equations for cellular convection
• Numerical solutions of single-mode convection equations
• Rapidly rotating turbulent Rayleigh-Bénard convection
• Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows
• Two-dimensional Rayleigh-Benard convection