應用多步分解計算法於水質動態傳輸模式之研究

多步分解計算法在水質模式之動力傳輸程序數值處理上，可提升計算精確度及效率，此方法應用於質量平衡控制方程式，包括物理傳輸程序及動力作用程序之分開求解。本文主要是以潮間帶水質動態傳輸數值模式描述多步分解計算法之觀念及執行方法，此方法並應用於淡水河系垂直二維潮間帶模式。採用多步分解計算法與傳統單步顯式數值解法處理動力作用程序之模擬結果比較，證明使用多步分解計算法於數值計算上更具有效率。

關鍵字

多步分解計算法；物理傳輸程序；動力作用程序；潮間帶模式

並列摘要

A computation scheme, which involves multi-step computation of the decoupled mass-balance equations include physical transport processes and kinetic processes in water quality models, can improve accuracy and efficiency in the numerical treatment of the kinetic processes. This paper focuses on the concept and the implementation of multi-step computation scheme in a generalized format for intratidal estuarine water quality model. The scheme is applied to the Tanshui River system using a laterally-integrated two-dimensional intratidal model. The computation efficiency of the scheme is demonstrated to promote by comparing the model results using the multi-step scheme with those using the traditional single-step explicit numerical solution of the kinetic processes. Decoupling of the mass-balance equations not only simplified the solution scheme but also makes the model flexible with respect to the additional of new state variables and to the modification of the kinetic formulation.

並列關鍵字

Multi-step computation scheme ； Physical transport process ； Kinetic process ； Intratidal model

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