Rayleigh-B\'{e}nard Convection in Strong Vertical Magnetic Field: Flow Structure and Verification of Numerical Method

Direct numerical simulations are performed to study turbulent Rayleigh-B'{e}nard convection in a vertical cylindrical cavity with uniform axial magnetic field. Flows at high Hartmann and Rayleigh numbers are considered. The calculations reveal that, similarly to the behavior observed in Rayleigh-B'{e}nard convection with strong rotation, flows at strong magnetic field develop a central vortex, while the heat transfer is suppressed.