A new method for fast transforms in parity-mixed PDEs: Part II. Application to confined rotating convection

To demonstrate the utility of the parity filtering methods described by Vasil et al. [G. Vasil, N. Brummell, K. Julien, A new method for fast transforms in parity-mixed PDEs: Part I. Numerical techniques and analysis, J. Comput. Phys. (2008)], we introduce a numerical code designed to solve for Rayleigh-Benard convection in a confined rotating box using the new methods we have formulated. That is, using a straightforward pseudospectral framework, we incorporate techniques for efficiently computing parity-mixed Coriolis accelerations in a time-dependent numerical solver. The goals of the presented numerical code are to provide a tool to investigate aspects of confined rotating convection experiments with a simple model, and to illustrate the application of parity filtering. In Our numerical tests, we find that a correct accounting for parity leads to clear and interesting behavior that has been observed in laboratory experiments but that has not been observed in previous numerical simulations in periodic domains. Published by Elsevier Inc.