Application of the Characteristic CIP Method to a Shallow Water Model on the Sphere |
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| Authors: | PENG Xindong CHANG Yan LI Xingliang and XIAO Feng |
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| Institution: | State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,College of Atmospheric Sciences, Lanzhou University, Lanzhou 730000,State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,Institute of Mechanics, Chinese Academy of Sciences, Beijing 100081, Tokyo Institute of Technology, Tokyo, Japan |
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| Abstract: | 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 efficiency 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. |
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| Keywords: | characteristic CIP method shallow-water model Yin-Yang grid semi-Lagrangian scheme gravity wave |
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