Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere
Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere
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DOI：
10.1007/s00376-006-0792-9
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发表时间：
2006-09
影响因子：
5.8
通讯作者：
Liu Xingliang;Chen Dehui;Peng Xindong;Xiaosi Feng;Chen Xiongshan
中科院分区：
文献类型：
--
作者：
Liu Xingliang;Chen Dehui;Peng Xindong;Xiaosi Feng;Chen Xiongshan
半拉格朗日平流方案实现在一个新的准均匀重叠（阴阳）网格上的球。阴阳网格是一种新发展起来的球面几何网格系统，它由两个经纬度方向相互平行的网格单元（阴阳网格）组成，有效地避免了坐标奇异和极点附近的网格收敛。在这种重叠网格中，阴阳分量之间的数据传递方式是保持数值解精度和鲁棒性的关键。本文给出了一种用于边界数据交换的数值插值方法，该方法既保持了原平流格式的精度，又提高了计算效率。在阴阳网格上对威廉姆森提出的固体平流进行了标准检验。数值计算结果表明，准均匀阴阳网格可以避开极点附近的问题，且阴阳网格有效地保持了原半拉格朗日格式的数值精度。
The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset (Yin-Yang) grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-oriented latitude-longitude grid components (called Yin and Yang respectively) that overlapp each other, and this effectively avoids the coordinate singularity and the grid convergence near the poles. In this overset grid, the way of transferring data between the Yin and Yang components is the key to maintaining the accuracy and robustness in numerical solutions. A numerical interpolation for boundary data exchange, which maintains the accuracy of the original advection scheme and is computationally efficient, is given in this paper. A standard test of the solid-body advection proposed by Williamson is carried out on the Yin-Yang grid. Numerical results show that the quasi-uniform Yin-Yang grid can get around the problems near the poles, and the numerical accuracy in the original semi-Lagrangian scheme is effectively maintained in the Yin-Yang grid.