標題: 時空有限元素法解傳遞方程式之應用
Space-time finite element for solving transport equation using conformal parameterization
作者: 吳卓翰
Wu, Cho-Han
吳金典
Wu, Chin-Tien
應用數學系所
關鍵字: 傳遞方程式;淺水波方程;時空有限元素;無反射邊界條件;共形參數化;Transport equation;shallow water equation;space-time finite element method;non-reflective boundary condition;conformal parameterization
公開日期: 2012
摘要: 在本篇論文中,我們對於傳遞方程式提出了一個無反射邊界條件的數值處理, 並且使用時空有限元素法離散之,使得其波可以順利的離開計算空間。並且我們使用了相同的方法去解決淺水波方程,更進一步的我們使用了共形參數化,使我們的方法可以應用在曲面上,並且模擬了水在紅血球上流動的情況以及在人臉上眼淚的流動
In this thesis, we propose the numerical treatment of non-reflective boundary condition for the transport equation, and discrete transport equation by space-time finite element, the wave packet can go out of the computational domain smoothly. And we solve the non-linear shallow water equation to use the same method on a disk domain. Moreover, we introduce the conformal parameterization on the shallow water equation for simulating the fluid dynamics on the blood cell and the tears shedding on a face.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT070052216
http://hdl.handle.net/11536/71955
顯示於類別:畢業論文