Title

滑落物體引起波浪之三維數值模擬

Translated Titles

Three-Dimensional Simulation of Landslide-Generated Waves

DOI

10.6341/fcu.M0213137

Authors

陳昱仰

Key Words

滑落塊體 ; 等位函數法 ; 浸沒邊界法 ; 自由液面 ; 固體體積分率 ; Landslide ; Immersed Boundary Method ; Level Set Method ; Free Surface ; Volume Of Solid

PublicationName

逢甲大學水利工程與資源保育學系學位論文

Volume or Term/Year and Month of Publication

2015年

Academic Degree Category

碩士

Advisor

廖清標

Content Language

繁體中文

Chinese Abstract

含自由液面流場一直都是具有困難度的問題,若流場中又有塊體運動造成的移動邊界問題則會使其更加複雜。本文採用吳(2004)三角型塊體沿斜坡滑動實驗案例,將文獻實驗速度及本模式之迴歸實驗速度、自由滑落速度產生之自由液面變化過程進行模擬,觀察塊體滑落水中造成的流場變化、海岸線溯升、速度向量等進行探討。本文研究中,處理流場與固體之間,使用浸沒邊界法(immersed boundary method),自由液面利用等位函數法求解,為使能精確捕捉自由液面之零等位函數值,空間項採用五階WENO法、時間利用三階Runge-Kutta法來離散。流場求解三維不可壓縮Navier-Stokes方程式,利用投影法導出壓力Poisson方程式並解出壓力項,再由動量方程式中求得速度場。最後使用繪圖軟體來呈現各案例的3D模擬結果,本模式對於整體流場的計算以及自由液面之模擬結果令人滿意。

English Abstract

The flow field with free surface has always been a difficult problem,if the flow field also contains moving boundary caused by solids and will make it more complicated.We utilize experimental data of Wu(2004),wave generated from a triangular block sliding along a slope bottom.The numerical simulation of the flow field caused by data falling block and free falling block,free surface changing process,shoreline run-up,the velocity vector,etc.are discussed.The numerical model is uses immersed boundary method to process flow field of soild,and the level set function method to treat free surface.In order to be able to accurately capture the value of the zero of level set function of the free surface,we use fifth-order WENO method in space,and third-order Runge-Kutta method in time. The three-dimensional flow is solved directly from the incompressible Navier-Stokes equations,the pressure Poisson equations.Finally,the use of graphics software to render 3D simulation results for each case,the model for simulation of the whole flow field and the free surface all give the satisfactory results.

Topic Category 建設學院 > 水利工程與資源保育學系
工程學 > 土木與建築工程
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