本文旨在建立同時求解由純流體與多孔介質組成之混合區域內流體運動問題之垂直二維紊流數值模式，以探討混合區域流速場與紊流相關物理特性分佈的特性。另外，文獻中並無相關之紊流通過多孔介質結構物流場資料可供參考，本研究乃進行實驗室水槽試驗，配合聲波都普勒流速儀ADV（acoustic Doppler velocimeter），比較分析固體結構物與多孔介質結構物附近流場特性的差異，並提供一組完整的數據資料庫供數值模式驗證之需要。
本研究之數值模式將求解之區域分為純流體區域與多孔介質區域，純流體區域採用雷諾平均Navier-Stokes方程式Reynolds Averaged Navier-Stokes Equation（RANS）及Lauder及Sharma（1976）提出的低雷諾數 紊流模式為控制方程式，而多孔介質區域利用巨觀的（macroscopic）概念及考慮紊流可能侵入（penetration）的效應採用福海門延伸達西模式Forchheimer-extended Darcy model及Pedras 及de Lemos（2001b）所發展之 紊流模式來求解，配合Rhie及Chow（1983）壓力振盪方法，利用SIMPLE求解程序與建立在曲線座標系統之非交錯網格，建立了高精度與高效率的數值模式。有鑑於純流體區域與多孔介質區域之交界面數值計算上處理的困難，本研究提出之速度、壓力、紊流動能及紊流動能消散率於交界面之連續邊界條件，並輔以Neale及Nader（1974）所提出之單區域法，可以迅速及簡單的處理混合區域的流體運動問題。
垂直二維紊流數值模式被應用在紊流通過多孔介質底床與紊流通過多孔介質結構物流場之計算，在多孔介質底床之計算案例經由解析解與實驗值驗證，而多孔介質結構物之計算案例則經由實驗值驗證，兩者均顯示本研究所發展之數值模式具有良好的準確性。在針對模擬所得之流場物理特性進行討論後，對未來研究方向與本研究未盡周全之處提出相關建議。

The characteristics associated with a hybrid domain, involving both a porous region and a clear fluid region, was not fully understood primarily due to lacking of proper mathematical treatments of different regions and the fluid/porous interface. The objective of this study was to present a numerical implementation for examining such a hybrid domain. A steady two-dimensional free surface model was developed. Additional experimental results of flow over porous structures are presented mainly for the verification purposes.
The present model was a macroscopic model which solved the Reynolds Averaged Navier-Stokes Equation (RANS) with the low-Reynolds number turbulence model (Lauder and Spalding, 1976) for the clear fluid region and Forchheimer-extended Darcy model with the macroscopic turbulence model (Pedras and de Lemos, 2001b）for the porous region. A control-volume method of Patankar (1980) based on a curvilinear coordinate system, was applied to discretize the continuity, momentum and turbulent model equations with SIMPLE algorithm. By adopting the classical continuity interface conditions, the present model treated the hybrid domain problem with a single domain approach. The present model was applied to simulate the turbulent flow over porous bed and porous structures.
Simulated results of the flow over the porous bed were coincided with the existing experimental data and microscopic computed data. Furthermore, the simulated results showed good agreements with the present experimental results. After the discussion of these simulated results, the possible improvements of the present model were suggested.

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