非静力滞弹性模式中水平分辨率与垂直分辨率的协调性初探
MATCH BETWEEN THE HORIZONTAL RESOLUTION AND THE VERTICAL ONE IN NONHYDROSTATICAL ANELASTIC MODEL
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摘要: 为了理论上研究非静力滞弹性模式中水平分辨率与垂直分辨率之间的搭配问题,以线性斜压滞弹性方程组为出发方程,导出解析的频散方程、水平群速方程和垂直群速方程,同时在最优三维网格C/CP下进行离散,也导出频散方程、水平群速方程和垂直群速方程,然后用图示的方法,比较了在不同的水平和垂直格距下模拟解析解所产生的误差。结果表明:当垂直格距和水平格距相当时,在C/CP网格上对惯性重力波的频率、水平群速和垂直群速都能较好地模拟,产生的相对误差均在5%以下。Abstract: For the purpose of theoretically investigating the match between the horizontal and vertical resolutions in the nonhydrostatical anelastic model,starting from the linear baroclinic anelastic equations,the analytical frequency and horizontal/vertical group velocity are derived.For comparison,the discretized frequency and horizontal/vertical group velocity are gained from the discretized equations on the best 3D grid C/CP.Then we graphically discuss the errors produced in the cases of different horizontal and vertical grid spacing.The result shows that when the vertical grid-spacing is comparable to the horizontal one,the frequency and horizontal/vertical group velocity of the inertial-gravitational wave are well simulated on the C/CP grid in the nonhydrostatical anelastic model,and their relative errors are below 5%.
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Key words:
- C/CP grid /
- horizontal resolution /
- vertical resolution /
- match
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