截至目前為止，非結構型網格已廣泛發展，因非結構型網格比結構型網格較易於處理複雜的幾何外形，且對可調性網格技巧之使用具方便性，故其在計算流體力學之領域上實為重要。可是，實際流場即黏滯流場在流經幾何外形表面時，非結構型四面體網格卻較難有效處理邊界層問題。所以，本文在作黏滯流場分析時，首先在機翼表面建構結構稜鏡型網格，在流場中則由Liu和Hwang及賴建文所發展之一稜鏡型與四面體之混合型網格。邊界網格建立法繁雜且所需之人力時間佔所有網格建立時間之大部份，故本文係採用CATIA電腦輔助設計軟體提供所需的幾何外型，更進一步利用此軟體在此外型上建構表面非結構性三角形網格以形成邊界網格，再結合Liu和Hwang之網格建立法。本文網格建構法，一方面可較有效處理邊界層問題；另一方面則可節省因建立邊界網格所需花費的時間。

　In the recent time, the application of unstructured mesh in Computational Fluid Dynamic becomes very important because of its availability of triangulating complicated geometry and its simplicity for use of adaptive mesh technique. When viscous flow fields through around the surfaces of geometry, unstructured tetrahedral meshes are difficult to efficiently treat boundary layer problems. In this paper, we combined the method of Liu and Hwangand Chien-Wen Lai to create the prismatic meshes around the surface of geometry, and the other regions are divided into tetrahedrons. It will be spend more time to create the unstructured triangular meshes on surfaces of geometry. The CAD software of CATIA is adopted in this paper to provide geometry which we need. And then using it to create the unstructured triangular meshes on surfaces of geometry , then combine together the unstructured tetrahedral developed by Liu and Hwang. With the tetrahedral/ prismatic mesh system, the prismatic meshes are simply to efficiently treat boundary layer problem. And the other way , CATIA can form the boundary meshes more faster.

【1】C. Y. Liu and C. J. Hwang,“New Strategy for Unstructured Mesh Generation,” AIAA Journal, Vol. 39, No. 6, June 2001.
【2】頼建文,“動態四面體/稜鏡型網格之建立”成功大學航太所碩士論文, 2005, 7月.
【3】Roque Corral, and Jaime Fernandze-Castaneda,“Surface Mesh Generation by Means of Steiner Triangulations,”AIAA 98-3063, 1998.
【4】Jamshid Samareh-Abolhassani,“Unstructured Grid On NURBS Surfaces,”AIAA 93-3454, 1993.
【5】杜黎蓉, 林博正,“CATIA電腦輔助設計與實務應用,”全華科技圖書股份有限公司出版, July 2000.
【6】Agarwal, R.K.,“Euler Calculations for Flowfield of a Helicopter Rotor in Hover,”Journal of Aircraft, Vol 24, No. 4, April 1987, pp. 231-238.
【7】Hassan A.A , Tung,C., and Sankar, L.N.,“Euler Solutions for Self–Generateded Rotor Blade-Vortex Interactions,”AIAA Paper 90-1588, 1990.
【8】Srinivasan, G.R. and McCroskey, W. J.,“ Navier-Stokes Calculations of Hovering Rotor Flowfield,”Journal of Aircraft, Vol.25, No.10, 1988,pp. 865-874.
【9】Srinivasan, G.R., Baeder, J.D., Obayashi, S., and McCroske, W.ｊ.“Flowfield of a Lifting Rotor Hover: A Navier-Stokes Simulation,” AIAA Journal, Vol.33, No. 10, 1992,pp. 2371-2378.
【10】Srinivasan, G.R.,Raghavan, V. , Duque, E.P.N. ,and McCroskey, W.J.,“Flowfield Analysis of Modern Helicopter Rotor in Hover by Navier-Stokes Method,”Journal of the American Helicopter Society, Vol.38, No.3, 1993, pp.3-13.
【11】胡舉軍,“旋翼與振翅翼之數值研究,”國立成功大學航空太空工程學系博士論文,2002年12月。
【12】Algermissen, G. and Wagner, S., “Computation of Helicopter BVI Noise by Coupling Free-Wake, Euler and Kirchhoff Method,”AIAA Paper 98-2238, 1998.
【13】Arnaud, G., Falchero, D., Estival,Y., and Martin, P.,“Simulation of Dauphin DGV Noise in Descent Flight,”AIAA Paper 98-2237, 1998.
【14】Sim, B., Leishman, J.G., Strawn, R.C. and George, A.R. ,“ Analytical and Computational Investigations of Oblique Blade-Vortex Interaction-Generated Noise,”AIAA Paper, 97- 1706,1997.
【15】Xue, Y., and Lyrintzis, A.S., “Rotating Kirchhoff Method for Three-Dimensional Transonic Blade-Vortex Interaction Hover Noise,”AIAA Journal, Vol. 32, No.7, 1994, pp.1350-1359.
【16】George, A.R., and Lyrintzis, A.S.,“Acoustics of Transonic Blade-Vortex Interaction,”AIAA Journal, Vol. 26, No. 7, 1988, pp. 767-776.
【17】Lent, H.M. ,Meier, G.E.R. , Muller, K.J. , Obermeier, F. , Schievelbusch,U. and Schurmann, O. ,“Mechanisms of Transonic Blade-Vortex Interaction Noise,” Journal of Aircraft, Vol.30, No.1, 1993,pp.88-93.
【18】Baldwin, B.S., and Lomax, H.,“Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flow,” AIAA Paper 78-0527, 1978.
【19】Frink, N.T.,“Recent Progress Toward a Three-Dimensional Navier-Stokes Flow Solver,”AIAA Paper 94-0061, 1994. Propulsion For A Micro Air Vehicle,” AIAA Paper 2001-0126, 2001.
【20】Kang, H.J., and Kwon, O.J.,“Unstructured Mesh Navier-Stokes Calculations of the Flow Field of a Helicopter Rotor in Hover,” Journal of the American Helicopter Society, Vol. 47, No. 2,April 2002.
【21】Prizadeh, S.,“Three-Dimensional Unstructured Viscous Grids by the Advancing-Layers Method,”AIAA Journal, Vol. 34, No. 1, 1996, pp.43-49.
【22】楊世英,“在動態網格上以區域隱式法探討穿音速振動葉片流場”國立成功大學航空太空工程學系博士論文,1993年6月。
【23】Frink, N.T., Parikh, P., and Pirzadeh, S.,“A Fast Upwind Solver for the Euler Equations on Three-Dimensional Unstructured Meshes,”AIAA Paper 91-0102,1991.
【24】Jameson, A., Schmidt, W., and Turkel, E.,“Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes,”AIAA Paper 81-1259, 1981.
【25】Frink, N.T,“Upwind Scheme for Solving the Euler Equations on Unstructured Tetrahedral Meshes,”AIAA Journal, Vol.30, No.1, 1992, pp. 70-77.
【26】Anderson, D.A., Tannehill, J.C., and Pletcher, R.H., Computational Fluid Mechanics and Heat Transfer, Mcgraw-Hill, New York, 1984,pp.189.
【27】John, S., Nick, W., and John, C. P.,“Development and Implementation of Gridgen’s Hyperbolic PDE and Extrusion Methods,” AIAA Paper 2000-0679, 2000.
【28】Matsuno, K.,“Hyperbolic Upwind Method for Prismatic Grid Generation,”AIAA Paper 2000-1003, 2000.
【29】Kallinderis, Y., and Kwong S.,“Viscous Grids and Assessment of their Quality,”AIAA Paper 2001-2539, 2001.
【30】Cardonna, F. X. and Tung, C.,“Experimental and Analytical Studies of Model Helicopter Rotor in Hover,”NASA TM-81232, Sep. 1981.