原始方程式模式積分方法之探討

On the Integration Schemes for One-Level Primitive Equation Model

簡來成(Lai-Chen Chien)

《大氣科學》 8卷1期 (1981/05) Pp. 19-25

摘要

有限地區原始方程式模式，以explicit，semi-Implicit及新近發展的交錯積分法預測24小時東亞地區之大氣運動。比較其積分程序，可看出基本方程式用implicit法處理後，其時間增量可放大，進而節省計算時間。以相同的初始邊界條件，交錯積分法，explicit法預測的24小時天氣型態與semi-implicit法所預測的大致相同。

並列摘要

A primitive-equation limited area model has been integrated using explicit, semi-implicit and newly developed time integration technique. Camparisons between the integration schemes manifest that the increased time step and the reduction in computation time are due to the implicit treatment of the terms governing gravity waves in the difference equations. Predictions prepared by the newly developed method , and forecasts produced by explicit and semi-implicit method show only minor differences in 24-hrs forecast over the East Asia area.