Domain-specific implementation of high order Discontinuous Galerkin methods in spherical geometry

03/21/2023

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by   Kalman Szenes, et al.

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We assess two domain-specific languages included in the GridTools ecosystem as tools for implementing a high-order Discontinuous Galerkin discretization of the shallow water equations. Equations in spherical geometry are considered, thus providing a blueprint for the application of domain-specific languages to the development of global atmospheric models. The results demonstrate that domain-specific languages designed for finite difference/volume methods can be successfully extended to implement a Discontinuous Galerkin solver.