Strongly nonlinear magnetoconvection in three dimensions

DOI10.1016/S0167-2789(98)00299-1zbMath0944.76095WikidataQ126310933 ScholiaQ126310933MaRDI QIDQ1808284

Keith Julien, S. M. Tobias, Edgar Knoblauch

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

wave numbernonlinear eigenvalue problemPrandtl numberNusselt numberChandrasekhar numbersteady convectionoverstable convectionsolar convection zonehorizontal temperature profilenonlinear magnetoconvection

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Magnetohydrodynamics and electrohydrodynamics (76W05) Convection in hydrodynamic stability (76E06) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Diffusion and convection (76R99)

Related Items

Staircase solutions and stability in vertically confined salt-finger convection ⋮ Geostrophic Turbulence and the Formation of Large Scale Structure ⋮ Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation ⋮ Reduced models for fluid flows with strong constraints ⋮ Saturation of the magnetorotational instability ⋮ Thermal Generation of Alfvén Waves in Oscillatory Magnetoconvection: Diffusively Modified Modes ⋮ Heat transfer and flow regimes in quasi-static magnetoconvection with a vertical magnetic field ⋮ Mean-field equations for weakly nonlinear two-scale perturbations of forced hydromagnetic convection in a rotating layer

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High order methods for the numerical solution of two-point boundary value problems
• A new class of equations for rotationally constrained flows
• Pattern selection in three-dimensional magnetoconvection
• Cellular convection with finite amplitude in a rotating fluid
• Fully nonlinear three-dimensional convection in a rapidly rotating layer
• Nonlinear periodic convection in double-diffusive systems
• Modal equations for cellular convection
• Numerical solutions of single-mode convection equations
• Strongly nonlinear convection cells in a rapidly rotating fluid layer: the tilted f-plane
• Asymptotic solutions for nonlinear magnetoconvection
• Chaos in magnetoconvection
• Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows
• Compressible magnetoconvection in three dimensions: planforms and nonlinear behaviour
• Fully nonlinear oscillatory convection in a rotating layer