论文标题
具有自适应网状精炼的大气动力学模拟的IMEX-DG求解器
An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
论文作者
论文摘要
我们为大气动力学模拟提供了一个准确有效的求解器，该求解器允许不合格的网格细化。模型方程是可压缩流的保守欧拉方程。该数值方法基于$ h- $自适应不连续的galerkin空间离散化，以及二阶添加剂runge kutta kutta imex方法用于时间离散化，尤其是为低马赫制度设计的。该求解器是在$ Deal.ii $库的框架中实施的，II $库，其网状精炼功能可提高效率。许多基于经典基准的大气动力学基准的数值实验证明了该方法的特性和优势。
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.
