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
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DOI：
10.4236/am.2016.718181
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Yan Yang
中科院分区：
文献类型：
--
作者：
Quanyong Zhu;Yan Yang
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.
