• 作者： 楊德良
• 作者服務機構： 國立臺灣大學土木工程學系暨水工試驗所
• 中文摘要： 本論文主要探討藉著原始變數以三種有限元素法解答不可壓縮之黏性流體，此三種方法分別是償罰函數法，壓力速 度修正法及壓力速度聯立法。本文並以?流場及外流場分別?明方法之可行性，並應用到庫頁流，渠流，圓形穴流，方 形穴流，循環流，及流經圓柱之流場。文中並特別強調高雷諾數對於流場不穩定性及旋渦形成之影響。本文更推廣到水 力學上之有趣問題，諸如層變水庫動力學，水熱模擬，自由液面流，及沈澱池，亦涉及簡易三維流場。由文中的結果顯 示有限元素法不失?流體力學上一具有?力且非常有效的計算方法。
• 英文摘要： Solutions of incompressible viscous flows using the primitive variables by the three finite element solution algorithms, namely the penalty function method, the pressure-velocity correction method, and the pressure-velocity coupling method, are briefly reviewed. Applications to both the internal and external flow regimes are illustrated. Typical examples cover the simulations of Couette flows, channel flows, circular eddy flows, square cavity flows, recirculating flows, and flows past a circular cylinder. The effects of the high Reynolds numbers on flow instabilities and vortex eddy formations are emphasized in particular. Practical applications of these methodologies to hydraulics are also delineated. Typical examples cover the treatment of the simulation of stratified reservoir dynamics, hydrothermal modeling, free surface flows and sediment basins. Extension to simple three-dimensional flow is also undertaken. The results reveal that finite element analysis is a very powerful approach in the realm of computational fluid mechanics.
• 中文關鍵字： finite element analysis; computational fluid dynamics; internal flows; external flows; Navier-Stokes equations; free surface flows
• 英文關鍵字： --