| 研究生: |
許智凱 Hsu, Chih-kai |
|---|---|
| 論文名稱: |
四面體與稜鏡型網格之建立及其應用 Generation of Tetrahedral/Prismatic Meshes and Its Applications |
| 指導教授: |
黃啟鐘
Hwang, Chii-Jong |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 航空太空工程學系 Department of Aeronautics & Astronautics |
| 論文出版年: | 2009 |
| 畢業學年度: | 97 |
| 語文別: | 中文 |
| 論文頁數: | 47 |
| 中文關鍵詞: | 四面體與稜鏡型網格之建立 |
| 外文關鍵詞: | Tetrahedral/Prismatic Meshes |
| 相關次數: | 點閱:45 下載:1 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
對於複雜幾何外形,使用非結構性網格具有方便性。為有效建構網格,本文採用CATIA電腦輔助設計軟體來提供幾何外型及表面三角形網格。雖然賴與黃所發展之網格建立法可在流場中建立非結構性四面體網格,然而步驟繁雜且不方便。換言之當外形有所改變時,需重新撰寫資料處理之程式。且此程式分成許多小部分。此外,利用賴與黃之方法在內流場區域建立稜鏡型與四面體時,入/出口處之網格將產生扭曲之現象。本論文改良網格建立步驟及相關程式以解決問題,且將改進後之程式運用至球、圓管、噴嘴、微散熱器、微熱導管及分岐管等流場區域之網格建構。最後,利用尤拉解程式計算球表面及噴嘴軸中心處之壓力分布並與相關之解析解比較以確定網格法之可用性。
For the domain with complex geometry, it is convenient to use the unstructured meshes. To efficiently construct meshes, the CAD software of CATIA is adopted in this thesis to provide the geometric shape and surface triangular meshes. Although the mesh generation approach, which was developed by Lai and Hwang, can be used to construct the unstructured meshes in the flow field the procedures are tedious and inconvenient. In other words, when the geometry changes, the program for treating the data structure must be rewritten and this program contains several portions. Besides, the meshes near the inlet/outlet regions will be distorted when the approach proposed by Lai and Hwang is applied to the inner flow domains. On this thesis, the above-mentioned problems are solved by improving the mesh generation procedures and related programs. Also, the revised program is need to construct the Tetrahedral/prismatic meshes for the flow field around on inside the sphere , circular pipe, nozzle, micro heat spreader, micro heat pipe and bifurcating tube. Finally, a Euler flow solver is to compute the pressure distributions along the surface of sphere and center line of nozzle. Then, those computed result are compared with the related analytical solution to confirm the availability of present mesh approval.
【1】 Lohner, R., and Parikh, P., “Generation of Three-Dimensional Unstructured Grids by the Advancing-Front Method,” International Journal for Numerical Methods in Fluids, Vol. 8, 1998, pp.1135-1149.
【2】 Waston, D. F., “Computing the N-Dimensional Delaunay Tessellation with Application to Voronoi Polytopes,” Computer Journal, Vol. 24, No. 2, 1981, pp. 167-172.
【3】 Liu, C. Y. and Hwang, C. J., “ New Strategy for Unstructured Mesh Generation,” AIAA Journal, Vol. 39, No. 6, June 2001, pp. 1078-1085.
【4】 John, S., Nick, W., and John, C. P., “Development and Implementation of Gridgen’s Hyperbolic PDE and Extrusion Methods,” AIAA Paper 2000-0679, 2000.
【5】 Deister, F., and Hirschel, E. H., “Adaptive Cartesian/Prism Grid Generation and Solutions for Arbitrary Geometries,”AIAA 99-0782, Jan. 1999.
【6】 Karman Jr., S. L., “A 3D Unstructured Cartesian/Prismatic Grid CFD Code for Complete Geometries,” AIAA 95-0343, Jan. 1995.
【7】 Bonet J., and Jaime P.,“An Alternating Digital Tree (ADT) Algorithm for 3D Geometric Searching and Intersection Problems,”International Journal for Numerical Methods in Engineering, Vol. 31, 1991.
【8】 賴建文、黃啟鐘,“動態四面體/稜鏡型網格之建立, ”第
十二屆全國計算流體力學學術研討會,中華民國九十四年八月.
【9】 “CATIA Documentation,” DASSUALT SYSTEM, 2002.
【10】 唐國偉,“四面體與稜鏡型網格之建立及其在微管流之應 用,”成功大學航太系碩士論文,中華民國九十五年七月.
【11】 黃啟鐘、黃振彧、曾臆聰,“在四面體與稜鏡型網格上探討低馬赫數流,”第十五屆全國計算流體力學學術研討會,中華民國九十七年八月.