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A scalable high-order discontinuous Galerkin method for global atmospheric modeling

机译:用于全球大气建模的可扩展高阶不连续Galerkin方法

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A conservative 3-D discontinuous Galerkin (DG) baroclinic model has been developed in the NCAR High-Order Method Modeling Environment (HOMME) to investigate global atmospheric flows. The computational domain is a cubed-sphere free from coordinate singularities. The DG discretization uses a high-order nodal basis set of orthogonal Lagrange-Legendre polynomials and fluxes of inter-element boundaries are approximated with Lax-Friedrichs numerical flux. The vertical discretization follows the 1-D vertical Lagrangian coordinates approach combined with the cell-integrated semi-Lagrangian method to preserve conservative remapping. Time integration follows the third-order SSP-RK scheme. To valid proposed 3-D DG model, the baroclinic instability test suite proposed by Jablonowski and Williamson is investigated. Parallel performance is evaluated on IBM Blue Gene/L and IBM POWER5 p575 supercomputers.
机译:在NCAR高阶方法建模环境(HOMME)中已经开发了一个保守的3D不连续Galerkin(DG)斜压模型,以研究全球大气流动。计算域是没有坐标奇点的立方球体。 DG离散化使用正交Lagrange-Legendre多项式的高阶节点基础集,并且元素间边界的通量使用Lax-Friedrichs数值通量来近似。垂直离散化遵循一维垂直拉格朗日坐标方法与单元格集成的半拉格朗日方法相结合,以保持保守的重映射。时间积分遵循三阶SSP-RK方案。为了验证提出的3-D DG模型,研究了Jablonowski和Williamson提出的斜压不稳定测试套件。在IBM Blue Gene / L和IBM POWER5 p575超级计算机上评估了并行性能。

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