中尺度模式中p-面与σ-面扩散差异的数值分析
NUMERICAL ANALYSIS OF THE DIFFERENCE BETWEEN p-SURFACE AND σ-SURFACE DIFFUSION
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摘要: 对常用的四阶线性水平扩散的两种方案进行了量纲分析和简化,并用有地形中尺度模式对两种方案做了详细的对比数值试验和分析。一种方案是在σ-面上计算水平扩散(以下简称为方案A),另一种方案是通过坐标变换使扩散在准p-面上进行(以下称为方案B).试验结果表明,在地形平缓区域,两种方案的预报差异较小,而在陡峭地形附近,则预报差异很大,两方案的24小时降水预报差异可达50mm以上,原因是方案A中出现了温度和湿度的虚假扩散,造成温度和湿度的异常,引起不稳定层和对流发展的异常。此外,方案A还造成环流场异常,该异常与方案A造成的对流异常直接相关,而且扰动可通过波动方式影响到周围地区,造成周围地区的降水异常。分析结果表明,方案B可以解决陡峭地形附近的预报异常问题,用方案B解决该问题是必要的和可行的。Abstract: Dimensional analysis and reduction are made to the two commonly used schemes of 4th order linear horizontal diffusion, as well as the detailed control experiments between the two schemes are made using a tepography-included mesoscale model. Horizontal diffusion is calculated on σ-surfaces in one scheme (known as Scheme A afterwards), and on p-surfacas in another (called Scheme B hereafter). Experiments show that, differences are small in smooth-terrain areas and very large in steep mountain areas where the 24h rainfall prediction deviation exceeds 50mm, between the forecasts of the two schemes. The reason for that is that temperature and humidity are falsely diffused in Scheme A, which causes abnormal temperature and humidity,and results in the abnormalies of.unstable layer and convective developement. In addition, Scheme A causes circulation anomalies, which is connecting directly to the convective abnormality, which in turn may affect the arrounding areas through turbulent wave, causing rainfall prediction deviations in the area. Analysis indicates that,Scheme B, which can minimize the diffusion scheme involved forecasting abnormal in steep mountain areas and arround, is necessary and feasible.
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Key words:
- Two horizontal schemes /
- Dimensional analysis /
- Mesoscale model /
- Control experiments
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