Time-dependent magneto-convection with hexagonal planform

The nonlinear system of basic partial differential equations for hydromagnetic convection in a fluid layer heated from below is examined in a time-dependent study. The problem is formulated in a hexagonal planform, effectively simulating three-dimensional motions and hence allowing for interactions between cells, and it is established that the vertical components of vorticity and current density are dynamically significant. The role played by the magnetic diffusivity in determining the general time-dependent behavior, and in particular the manner in which the vertical components of vorticity and current density develop, is dynamically investigated. The numerical results also demonstrate the system's ability to induce and maintain magnetic fields much larger than the initial imposed field.