Rotating Turbulent Convection in a Spherical Shell With a Hybrid Discrete Exterior Calculus and Finite Difference Method

A hybrid discrete exterior calculus and finite difference discretization of turbulent convective flow in a spherical shell is developed as a paradigm for solar convective flows. An anelastic approximation is used, and our previous formulation (Jagad, P., Khan, H., & Parsani, M. (2023). Anelastic thermal convection in spherical shells using hybrid discrete exterior calculus and finite difference method. Bulletin of the American Physical Society) is extended to include rotation, i.e., the governing equations are considered in a rotating frame of reference. The operators and variables are decomposed into surface and radial components and they are approximated using DEC and FD discretizations, respectively. Several validation cases are presented. Moreover, formation of convective patterns is studied.