Application of the Characteristic CIP Method to a Shallow Water Model on the Sphere  

作　　者：彭新东 常燕 李兴良 肖锋 

机构地区：[1]State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences [2]College of Atmospheric Sciences, Lanzhou University [3]Institute of Mechanics, Chinese Academy of Sciences [4]Tokyo Institute of Technology

出　　处：《Advances in Atmospheric Sciences》2010年第4期728-740,共13页大气科学进展（英文版）

基　　金：supported by National Natural Science Foundation of China (NSFC) projects (Grant Nos. 40875065 and 40805045);the research projects 2008R001 at Chinese Academy of Meteorological Sciences (CAMS) and 2008 LASWZI05 at the State Key Laboratory of Severe Weather, CAMS

摘　　要：Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the effciency of the characteristic constrained interpolation profile （CIP） method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the effciency of the characteristic constrained interpolation profile （CIP） method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.

关 键 词：characteristic CIP method shallow-water model Yin-Yang grid semi-Lagrangian scheme gravity wave 

分 类 号：F416.67[经济管理—产业经济]