Thermal convection in a rotating cylinder near onset is investigated using direct numerical simulations of the Navier–Stokes equations with the Boussinesq approximation in a regime dominated by the Coriolis force. For thermal driving too small to support convection throughout the entire cell, convection sets in as alternating pairs of hot and cold plumes in the sidewall boundary layer, the so-c...

The behavior of rotating and non-rotating aggregated convection is examined at various horizontal resolutions using the hypohydrostatic, or Reduced Acceleration in the VErtical (RAVE), rescaling. This modification of the equations of motion reduces the scale separation between convective and larger-scale motions, enabling the simultaneous and explicit representation of both types of flow in a s...

A numerical investigation has been carried out for mixed convection flow in a rectangularventilated cavity with a heat conducting solid circular cylinder at the center. Forced convection flowconditions were imposed by providing an inlet at the bottom of the left wall and an outlet vent at the topto the other sidewall. In this paper, the effect of cavity aspect ratio as well as the mixed convect...

We present the results of a benchmark study for a convection-driven magnetohydrodynamic dynamo problem in a rotating spherical shell. The solutions are stationary aside from azimuthal drift. One case of non-magnetic convection and two dynamos that differ in the assumptions concerning the inner core are studied. Six groups contributed numerical solutions which show good agreement. This provides ...

The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals are evaluated exactly, otherwise there are even cases where divergence has been shown to happen. The family of methods studied here applies Lagrangian convection to the gradients and the function as in Yabe[?]; the metho...

We study hexagon patterns in non-Boussinesq convection of a thin rotating layer of water. For realistic parameters and boundary conditions we identify various linear instabilities of the pattern. We focus on the dynamics arising from an oscillatory side-band instability that leads to a spatially disordered chaotic state characterized by oscillating (whirling) hexagons. Using triangulation we ob...

Numerical studies of the domain chaos state in a model of rotating Rayleigh-Bénard convection suggest that finite size effects may account for the discrepancy between experimentally measured values of the correlation length and the predicted divergence near onset.