• 作者： 梁文傑
• 作者服務機構： Institute of Physics Academia Sinica Taipei, Taiwan Republic of China
• 中文摘要： 本文利用變分法佳化風場，使風場可適用於運動學法求取垂直速度。垂直速度場的誤差被分類?系統誤差與隨機誤差 。前者可由連續性方程式與整體邊界條件兩?勢拘束條件所抑制，後者則利用變分佳化式中的高頻過濾機制加以消除，使 過濾後的風場依然滿足上述兩拘束條件，而垂直速度場的項層邊界條件，亦可隨實際風場上升與下降區域的分佈自動作適 當的調整。文中以美國國家太空總署的「大氣變化性實驗」的資料印證本文方法的可信性。結果顯示垂直速度場的大小及 分佈與觀測的天氣系統與雷達報告都有良好的一致性。
• 英文摘要： A variational optimization scheme of wind field is developed for the correction of vertical velocity field using kinematic method. The errors which appear in the vertical velocity field are classified as systematic errors and random errors. The systematic errors are suppressed by the use of two strong constraints, i.e., the integrated continuity equation and the global boundary condition. The random errors are filtered by including a low-pass filter simultaneously in the variational formulation that the filtered field still satisfies above constraints. The upper boundary condition of the vertical velocity field is considered in terms of the spatial distribution of upward and downward motion. NASA AVE II data are utilized to verify the scheme. Results show that the magnitudes and general patterns of vertical velocity field are in good agreement with the synoptic weather system and radar reports.
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