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We present a new pseudo-spectral open-source code nicknamed pizza. It isdedicated to the study of rapidly-rotating Boussinesq convection under the 2-Dspherical quasi-geostrophic approximation, a physical hypothesis that isappropriate to model the turbulent convection that develops in planetaryinteriors. The code uses a Fourier decomposition in the azimuthal direction andsupports both a Chebyshev collocation method and a sparse Chebyshev integrationformulation in the cylindrically-radial direction. It supports several temporaldiscretisation schemes encompassing multi-step time steppers as well asdiagonally-implicit Runge-Kutta schemes. The code has been tested and validatedby comparing weakly-nonlinear convection with the eigenmodes from a linearsolver. The comparison of the two radial discretisation schemes has revealedthe superiority of the Chebyshev integration method over the classicalcollocation approach both in terms of memory requirements and operation counts.The good parallelisation efficiency enables the computation of large problemsizes with $\mathcal{O}(10^4\times 10^4)$ grid points using several thousandsof ranks. This allows the computation of numerical models in the turbulentregime of quasi-geostrophic convection characterised by large Reynolds $Re$ andyet small Rossby numbers $Ro$. A preliminary result obtained for a stronglysupercritical numerical model with a small Ekman number of $10^{-9}$ and aPrandtl number of unity yields $Re\simeq 10^5$ and $Ro \simeq 10^{-4}$. pizzais hence an efficient tool to study spherical quasi-geostrophic convection in aparameter regime inaccessible to current global 3-D spherical shell models.

pizza: An open-source pseudo-spectral code for spherical quasi-geostrophic convection