台灣環島海岸水位預報系統之建立─總計畫暨子計畫：台灣環島暴潮預報模式及數值網格產生法之研究

Abstract

本計畫為三年期整合計畫『台灣環島 海岸水位預報系統之建立』之子計畫之 一，其研究目的在配合總計畫之暴潮數值 計算以及建立邊界符合數值網格提供另兩 個子計畫計算所需。本研究除了引進美國 聯邦緊急事故處理局發展出的暴潮預測模 式-----FEMA 暴潮模式之外，並藉由探討邊 界元素法在奇異性問題上的理論基礎，建 立並改善原網格系統為邊界符合座標系 統；另外，也進一步改善FEMA 模式數值計 算方法以增加計算效率及穩定性。

This study is a sub-study of the integrated research program “A forecasting system of water elevations around Taiwan”. One of the purposes of this study is to develop a new storm surge model by considering the local boundary effects. Besides, it establishes and offers the boundary-fitted orthogonal grid systems for another two sub-studies of this program. The study first introduces the FEMA storm surge model developed by the Federal Emergency Management Agency, U. S. A., and further improves the model theoretically and numerically by replacing the original grid system with the boundary-fitted grid system. Meanwhile, newer viewpoints about the singularity problems in BIEM are discussed. Finally, a new numerical scheme is established in this storm surge model to improve the computational efficiency and stability.