  We present an accurate and efficient solver for atmospheric dynamics
simulations that allows for non-conforming mesh refinement. The model equations
are the conservative Euler equations for compressible flows. The numerical
method is based on an $h-$adaptive Discontinuous Galerkin spatial
discretization and on a second order Additive Runge Kutta IMEX method for time
discretization, especially designed for low Mach regimes. The solver is
implemented in the framework of the $deal.II$ library, whose mesh refinement
capabilities are employed to enhance efficiency. A number of numerical
experiments based on classical benchmarks for atmosphere dynamics demonstrate
the properties and advantages of the proposed method.
