基于球面阴阳网格数值计算研究进展  

Advances in Researches on Numerical Calculation Based on Spherical Yin-Yang Grids

作　　者：艾细根 刘宇迪[1] 崔新东[1] 张涛[1] 

机构地区：[1]解放军理工大学气象海洋学院,南京211101

出　　处：《气象科技》2014年第1期13-22,共10页Meteorological Science and Technology

基　　金：国家自然科学基金面上项目(41175089)资助

摘　　要：对球面阴阳网格的转换关系、优缺点及边界数据插值交换方法的相关知识进行了较为详细介绍。同时对应用球面阴阳网格的3种数值计算方法进行了回顾总结,包括优化的Schwarz方法、CIP-CSLR平流数值计算方法、多离散矩有限体积法。针对优化的Schwarz方法,从浅水方程组的离散入手,讨论了其在求解球面椭圆型问题的优势;而对CIP-CSLR平流数值计算方法和多离散矩有限体积法,主要从如何在网格单元内构造插值函数的角度对其进行分析。最后对开发全球非静力阴阳网格模式进行展望。Some issues with regard to spherical Yin-Yang grids are reviewed, such as transformation relationship, advantages and disadvantages, and the data interpolation exchange method in the overlapping boundaries. Also three numerical methods, including the optimized Schwarz method, CIP-CSLR advection numerical method, and multi-moment finite volume method which has been implemented on the spherical overset Yin-Yang grids, are discussed and summarized. For the optimized Schwarz method, the advantages of solving the spherical elliptic problem are discussed from the aspect of the discretization of the shallow water equations. For the CIP-CSLR advection numerical method and multi-moment finite volume method, the analysis is mainly conducted about how to construct the interpolation functions in the grid cells. The development of the global nonhydrostatic Yin-Yang grid model is prospected.

关 键 词：阴阳网格 数值方法 大气数值模式 并行计算 

分 类 号：O186.11[理学—数学]