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- W89462038 abstract "Time-dependent magnetohydrodynamic (MHD) convection is studied by numerical modeling on several levels. An intuitive model, the mixing length theory of convection (MLT), is reviewed; from this, a scaling law for convective structures is derived and compared with observations of the solar convection zone. MLT lays the foundation for the magentoanelastic equations--a model for MHD convection at low Mach and Alfaven Mach numbers--which is rederived with particular attention to its relation to the familiar Boussinesq equations. A variant of the anelastic approximation is offered which obviates the need for a first-order pressure equation. The magneto-anelastic model is used as the basis for SUMO, a computer model that generates numerical solutions on a two-dimensional Cartesian mesh by a finite-difference, predictor-corrector algorithm. Thermodynamic properties of the fluid are held fixed and constant at the rigid, stress-free top and bottom boundaries of the computational box, while lateral boundaries are treated as periodic. A numerical study of the equations is made for a zero-order polytrope, at a Rayleigh number 5.44 times the critical value, Prandtl number 1.8, and aspect zero unity. The dynamical behavior is highly influenced by a horizontal magnetic field which is imposed at the bottom boundary (the top of the domain is attached to a nonconducting region). As the magnetic parameter is increased, the initially tilted character of convection rolls changes. A single-roll, highly sheared, timedependent state is replaced by a steady traveling-wave tilted state; then an oscillatory or sloshing state; then a steady two-roll state with no tilting; and finally, a stationary state. The concentrated nature of magnetic fields at the top of these flows is explained by a simple advection-diffusion balance. The complex dynamical behavior is shown to be well-represented by a nine-mode truncation of the Fourier expansion of the Boussinesq equations in a uniform, horizontal magnetic field. The key mode is a tilting one, which breaks the up-down mirror symmetry. Qualitative and quantitative comparisons are made between the simulations and the nine-mode model, which demonstrate that the latter captures all the essential physics of the former." @default.
- W89462038 created "2016-06-24" @default.
- W89462038 creator A5087781028 @default.
- W89462038 date "1991-11-01" @default.
- W89462038 modified "2023-09-26" @default.
- W89462038 title "Dynamical Behavior of Magnetic Fields in a Stratified, Convecting Fluid Layer" @default.
- W89462038 hasPublicationYear "1991" @default.
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