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题名: 氣候變異與都市化對台中盆地洪災之影響研究---子計畫:沿岸地區淹水情境模擬(I)
Numerical Modeling of near Shore Inundation(I)
作者: 梁興杰
贡献者: NTOU:Department of Marine Environmental Informatics
國立臺灣海洋大學:海洋環境資訊系
关键词: 淺水方程式;最小平方有限元素法;淹水;波流場與結構之互動;數值地形模型;虛擬實境
Shallow-Water Equations;Least-Squares Finite-Element Method;Inundation;Flow-Structure and Wave-Structure Interactions;Digital Terrain Model;Virtual Reality
日期: 2009-08
上传时间: 2011-06-28T08:44:12Z
出版者: 行政院國家科學委員會
摘要: 摘要:近年來由於電腦科技的發達與數值演算法的改進,數值模式被廣泛的使用於海岸與近岸動力之研究。在我們過去的研究計畫中,最小平方有限元素法(Least-Squares Finite-Element Method, LSFEM) 被應用於Stokes方程式與Navier-Stokes方程式(8/2004 ~ 7/2005, NSC 94-2218-E-035 -011-),以及淺水方程式(8/2005 ~ 7/2006, NSC 95-2221-E-019-095-)之求解。該模式包含了時變、對流、底床變化、底床摩擦、擴散等項。因此,可以模擬時變/非時變、複雜地形、亞臨界流/超臨界流,以及平滑/陡變之流場。我們成功地將該模式應用於各種波、流場的模擬,例如:壩潰問題、波與流流經一圓柱之波流場變化、波浪經過一複雜地形之波浪變形、以及波流場與結構物之交互作用等。 本研究計畫中,我們將以水深積分非線性淺水模式為基礎,加入乾濕移動介面(moving wet-dry interfaces)演算法,以進行近岸淹水模擬、以及波流場與結構物之交互作用。一些相關的議題都值得進一步探討: 第一年(8/1/09 ~ 7/31/10): - 建構精細(解析度為5 m x 5m)之數值地形模型(Digital Terrain Models, DTM) - 開發與驗證乾濕移動介面(moving wet-dry interfaces)演算法 - 結合淺水模式與乾濕移動介面模式 第二年(8/1/10 ~ 7/31/11): - 將淹水模式應用於簡單的形狀、水深與地形算例 - 模擬選定研究區域之淹水情境 - 模擬波流場與場結構之互動 第三年(8/1/11 ~ 7/31/12): - 將計算結果與其它計算方法的結果比較(子計畫 6) - 利用虛擬實境技術,呈現波流場之變化、以及波流場與結構物之互動 - 利用虛擬實境技術,結合數值地形模型,呈現淹水情境
Abstract:Owing to the fast advancement of computer technology and improvement of numerical algorithms, numerical modeling has been actively and widely adopted by researchers in the coastal and offshore hydrodynamics. From our previous studies, the least-squares finite-element method (LSFEM) has been applied to Stokes and Navier-Stokes Equations (8/2004 ~ 7/2005, NSC 94-2218-E-035 -011-) and shallow-water equations (8/2005 ~ 7/2006, NSC 95-2221-E-019-095-). Time-dependent, nonlinear convection, diffusion, bottom friction, and bathymetry change terms are considered in the model. Therefore, the developed model is capable of handling steady and unsteady flows, complex topography, subcritical and supercritical flows, and flows with smooth and sharp gradient changes. The model has been successfully applied to various flow conditions, including dam-breaking, flow and wave past a circular cylinder, wave transformation due to bathymetry changes, as well as flow-structure and wave-structure interactions. In this study, the LSFEM based depth-averaged nonlinear shallow-water model will be extended to simulate the moving wet-dry interfaces. We plan to apply the model to simulate the near shore inundation as well as flow-structure and wave-structure interactions. Several relevant issues are to be investigated: 1st year (8/1/09 ~ 7/31/10): - to construct the detailed (5 m x 5m) digital terrain model (DTM) - to develop and verify the moving wet-dry interfaces algorithm - to couple the shallow-water equations model with the moving wet-dry interfaces model 2nd year (8/1/10 ~ 7/31/11): - to apply the inundation model for simple geometry, bathymetry and terrain - to simulate the near shore inundation of the study area - to simulate fluid-structure and wave-structure interactions 3rd year (8/1/11 ~ 7/31/12): - to compare the computed result with other numerical solutions of the integral project (sub-project 6) - to use the virtual reality (VR) technology to present the fluid-structure and wave-structure interactions scenarios - to use the virtual reality (VR) technology to integrate the digital terrain model with the simulated inundation scenarios
關聯: NSC98-2625-M019-002
URI: http://ntour.ntou.edu.tw/ir/handle/987654321/11750
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