A Semi-Lagrangian Type Solver for Two-Dimensional Quasi-Geostrophic Model on a Sphere
A Semi-Lagrangian Type Solver for Two-Dimensional Quasi-Geostrophic Model on a Sphere作者机构：Department of Mathematics Lishui University Lishui China Jiangsu Key Laboratory for NSLSCS School of Mathematical Sciences Nanjing Normal University Nanjing China
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2016年第7卷第18期
页 面：2296-2306页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Quasi-Geostrophic Equations Semi-Lagrangian Methods Smoothing Technique Error Analysis Pole Singularity
摘 要：In this paper, we propose a numerical method based on semi-Lagrangian approach for solving quasi-geostrophic (QG) equations on a sphere. Using potential vorticity and stream-function as prognostic variables, two-order centered difference is suggested on the latitude-longitude grid. In our proposed numerical scheme, advection terms are expressed in a Lagrangian frame of reference to circumvent the CFL restriction. The pole singularity associated with the latitude-longitude grid is eliminated by a smoothing technique for the initial flow. Error analysis is provided for the numerical scheme.
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