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.

翻译：我们提出了一种精确高效、支持非一致网格细化的大气动力学模拟求解器。模型方程为可压缩流动的守恒型欧拉方程。数值方法采用基于$h$自适应间断伽辽金空间离散格式，并结合专为低马赫数 regime 设计的二阶加性龙格-库塔IMEX时间离散方法。该求解器在$deal.II$库框架中实现，利用其网格细化能力提升计算效率。基于大气动力学经典基准算例的系列数值实验，验证了所提出方法的性能与优势。