A hybrid discrete exterior calculus and finite difference method for Boussinesq convection in spherical shells

• Published in: Journal of computational physics Vol. 491; p. 112397
• Main Authors: Mantravadi, Bhargav, Jagad, Pankaj, Samtaney, Ravi
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.10.2023
• Subjects: Boussinesq convection; Discrete exterior calculus; Finite difference method; Flow in spherical shell; Operator splitting; PETSc; Boussinesq convection; Operator splitting; PETSc; Flow in spherical shell; Discrete exterior calculus; Finite difference method

We present a new hybrid discrete exterior calculus (DEC) and finite difference (FD) method to simulate fully three-dimensional Boussinesq convection in spherical shells subject to internal heating and basal heating, relevant in the planetary and stellar phenomenon. We employ DEC to compute the surfa...