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標題: | 以沉浸邊界方法求解具複雜外型之不可壓縮黏性流 Immersed Boundary Method for Solving Incompressible Viscous Flow Equations in Complex Geometry |
作者: | Hsung-Feng Ting 丁曉楓 |
指導教授: | 許文翰 |
關鍵字: | 沉浸邊界方法,複雜外型,不可壓縮黏性流, Immersed Boundary Method,Complex Geometry,Incompressible Viscous Flow, |
出版年 : | 2005 |
學位: | 碩士 |
摘要: | In this thesis, a discrete-time direct forcing method in Cartesian grids is applied to the numerical simulation of the flow over a circular cylinder, flow over two cylinders in tandem, backward-facing step flow and flow over the label of 'SCCS'. A collocated finite-difference method for CDR (convection-diffusion-reaction) equation with nodally exact discrete scheme in non-staggered uniform Cartesian grids is used. The momentum forcing is applied on the body surface or inside the body to satisfy the no-slip boundary condition on the immersed boundary (body-fluid interface). For immersed boundary method, the choice of an accurate interpolation scheme satisfying the no-slip condition on
the immersed boundary is very important because the grid lines generally do not coincide with the immersed boundary. Therefore, a novel interpolation technique for evaluating the momentum forcing on the body surface or inside the body is presented. The benchmark problem of flow over a circular cylinder, is simulated using the proposed immersed boundary method. The results agree very well with other numerical and experimental results in the literatures. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35502 |
全文授權: | 有償授權 |
顯示於系所單位: | 工程科學及海洋工程學系 |
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