Computation of stream function and velocity potential in a limited area and its application to typhoon

doi:P434.1

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有限區(qū)域流函數(shù)和速度勢的計(jì)算及其在臺風(fēng)中應(yīng)用
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                        P434.1
                    
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基金項(xiàng)目:國家自然科學(xué)基金資助項(xiàng)目(40975031)

Computation of stream function and velocity potential in a limited area and its application to typhoon

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摘要:

在Endlich提出求解旋轉(zhuǎn)風(fēng)和輻散風(fēng)基礎(chǔ)上,本文給出了直接利用風(fēng)場迭代計(jì)算流函數(shù)和速度勢的方法,該方法不但能求解流函數(shù)和速度勢,還可將原始風(fēng)場直接分解為旋轉(zhuǎn)風(fēng)和輻散風(fēng)。此方法在有限區(qū)域中,能大大降低邊界條件對計(jì)算結(jié)果的影響,不僅能計(jì)算準(zhǔn)確的渦度和散度,還能很好的重建原始風(fēng)場。采用此方法,對 “0808”號臺風(fēng)“鳳凰”進(jìn)行了診斷分析,得到了臺風(fēng)不同時(shí)期的流函數(shù)和速度勢、旋轉(zhuǎn)風(fēng)和輻散風(fēng)。結(jié)果發(fā)現(xiàn)在臺風(fēng)的不同時(shí)期,流函數(shù)與高度場相似,可用其低值中心來分析臺風(fēng)移動路徑和強(qiáng)度的變化,速度勢存在高值區(qū),其中心與高度場低值中心不吻合;旋轉(zhuǎn)風(fēng)的渦旋中心也可用來反映臺風(fēng)中心,臺風(fēng)南側(cè)輻散風(fēng)較大,故可用來反映南方水汽供應(yīng)對臺風(fēng)發(fā)展、成熟、衰退的影響。

Abstract:

This paper gives an iterative method of calculating directly stream function and velocity potential from wind field based on the Endlichs idea of figuring out divergent wind and rotational wind. This method not only obtains stream function and velocity potential, but also partitions the wind into divergent wind and rotational wind. The results of calculation showed that in a limited area the iterative method can eliminate boundary effects on results, and can restructure original wind well. This method is used to diagnose the typhoon “Fung-wong” and calculate the stream function, velocity potential, divergent wind and rotational wind at different periods of typhoon with the data of NCEP／NCAR reanalysis. The results suggest that at different periods of typhoon, stream function is similar to the height field, and their low values centers are basically consistent each other, but the high value's center of velocity potential is not. So the low center and the minimum of the stream function can be used to diagnose center position, motion track and intensity of typhoon. Meanwhile, the vortex center of rotational wind can be used to reflect the center of typhoon too, and the divergent wind is stronger in the south of typhoon that reflects the effects of vapour supply on typhoon of the different periods.

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黎愛兵,張立鳳,臧增亮,張?jiān)?有限區(qū)域流函數(shù)和速度勢的計(jì)算及其在臺風(fēng)中應(yīng)用.氣象科學(xué),2012,32(1):1-8 LI Aibing, ZHANG Lifeng, ZANG Zengliang, ZHANG Yun. Computation of stream function and velocity potential in a limited area and its application to typhoon. Journal of the Meteorological Sciences,2012,32(1):1-8

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收稿日期:2011-11-19
最后修改日期:2011-02-22
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在線發(fā)布日期: 2012-05-16
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