气象学报
氣象學報
기상학보
ACTA METEOROLOGICA SINICA
2013年
6期
1172-1182
,共11页
变分法%客观分析%平滑
變分法%客觀分析%平滑
변분법%객관분석%평활
Variational method%Objective analysis%Smoothing
在气象业务中,常需要将不规则离散站点数据转换成规则分布的格点场,并要求格点场既准确又平滑。由于准确性和平滑性存在矛盾,利用现有客观分析方法很难达到上述要求。采用变分法,将准确性和平滑性设计成关于格点场的目标函数,通过求解目标函数的最小值对应的格点场可获得最优的客观分析结果。对降水量的客观分析实例表明,基于变分法的客观分析算法能够满足既准确又平滑的分析要求。
在氣象業務中,常需要將不規則離散站點數據轉換成規則分佈的格點場,併要求格點場既準確又平滑。由于準確性和平滑性存在矛盾,利用現有客觀分析方法很難達到上述要求。採用變分法,將準確性和平滑性設計成關于格點場的目標函數,通過求解目標函數的最小值對應的格點場可穫得最優的客觀分析結果。對降水量的客觀分析實例錶明,基于變分法的客觀分析算法能夠滿足既準確又平滑的分析要求。
재기상업무중,상수요장불규칙리산참점수거전환성규칙분포적격점장,병요구격점장기준학우평활。유우준학성화평활성존재모순,이용현유객관분석방법흔난체도상술요구。채용변분법,장준학성화평활성설계성관우격점장적목표함수,통과구해목표함수적최소치대응적격점장가획득최우적객관분석결과。대강수량적객관분석실례표명,기우변분법적객관분석산법능구만족기준학우평활적분석요구。
In meteorological operations,station data are often needed to be transformed to the regular grid with requirements of the gridded field being both accurate and smooth.Due to the contradiction between accuracy and smoothness,the existing ob-jective analysis methods are very difficult to achieve the above requirements.In this paper,based on the variational method,by introducing accuracy and smoothness into a cost function of the gridded field,the optimal objective analysis results can be ob-tained by solving the minimum value of the cost function.The objective analysis of precipitation examples show that both accu-rate and smooth requirements can be met by using the variational objective analysis methods.