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大气科学  2007 

地形跟随坐标下的中尺度模式气压梯度力计算误差分析及其改进方案

DOI: 10.3878/j.issn.1006-9895.2007.01.11

Keywords: 地形跟随坐标,气压梯度力,理想场,误差

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Abstract:

地形跟随坐标系中水平气压梯度力的算法一直是困扰数值模式发展的关键问题之一。目前数值模式中使用的方法只能在天气尺度的模式中部分缓解气压梯度力的计算误差问题。在高分辨率中尺度模式中,随着地形坡度的进一步加大,气压梯度力的计算误差问题更加突出。作者通过理想场的计算分析了几种主要气压梯度力算法的误差,结果显示在中尺度模式分辨率下,计算的水平气压梯度力不但不收敛于真值,而且随着地形坡度的加大或模式分辨率的提高,计算误差逐渐增大。作者提出了基于静力方程订正的回插等压面改进方案,理想场的计算结果表明该方案的计算误差可显著减小,在典型中尺度模式参数的设置下计算精度可达10-6m/s2。其最大特点是随着模式分辨率的提高,该方案的计算误差将逐步收敛到零。

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