刘厚林,董亮,王勇,王凯,路明臻
LIU Hou-lin,DONG Liang,WANG Yong,WANG Kai,LU Ming-zhen (Jiangsu University

• 1:江苏大学

摘要(Abstract)：

网格生成技术是流体机械内部流动数值模拟中的关键技术之一,直接影响数值计算的收敛性,决定着数值计算结果最终的精度及计算过程的效率;本文在分析大量文献的基础上,首先,对流体机械CFD中的网格生成方法即结构化网格、非结构化网格、混合网格进行了比较全面的总结,系统地分析这些网格划分方法的机理、特点及其适用范围;其次,对特殊的网格生成技术,如曲面网格生成技术、动网格技术、重叠网格生成技术、自适应网格技术进行了阐述;再次,指出了良好的网格生成方法应具备的特点;最后提出了网格生成技术的发展趋势。
Mesh generation technology is one of the critical technology for fluid machinery flow numerical simulati-on,and directly influence the astringency of numerical simulation,which has an important effect on the numerical simulation results,final precision and the efficiency of computational process.On the basis of analyzing a great deal literatures,firstly,mesh generation methods and theory of fluid machinery are comprehensively summarized such as structured mesh,unstructured mesh,hybrid grid and respective relative merits and the principle,characteristcs and scopes of these methods were systematically analysed.Secondly,Special mesh generation method were summarized,such as surface meshing,moving grid,adaptive grid and especially introduced the principle and application areaof adaptive grid.Thirdly,the characteristic of mesh generation method were pionted out.Finally,the trends of mesh generation are presented,and the tremendous difference is analyzed in mesh automatic generation at abroad and the necessary of exploiting CFD software and researching the mesh automatic generation technique in our country are put forward.

关键词(KeyWords)： 流体机械;网格生成;计算流体动力学;动网格;自适应网格
fluids machinery;mesh generation;computational fluid dynamics;moving grid;adaptive grid

Abstract:

Keywords:

基金项目(Foundation): 国家杰出青年基金(50825902);; 国家“863”计划(2006AA05Z250)

作者(Author): 刘厚林,董亮,王勇,王凯,路明臻
LIU Hou-lin,DONG Liang,WANG Yong,WANG Kai,LU Ming-zhen (Jiangsu University

参考文献(References)：

• [1]陶文铨.计算传热学的近代进展[M].北京:科学出版社,2000.
• [2]陶文铨.数值传热学(第2版)[M].西安:西安交通大学出版社,2004.
• [3]康宁.粘性流体换热问题用直角坐标网格的贴体解法[J].北京航空航天大学学报,2004,9(30):876-881.
• [4]Brown P R.A interactive method for the automa-ticgeneration of finite element meshes using the Schwarz-Christoffel transformation[J].Computer m-ethods inapplied mechanics and engineering,19-81,25(1):101-126.
• [5]Thompson J F,Thames F C,Mastin C W.Au-tomticnumerical generation of body fitted curvili-near coordi-nate system for field containing any n-umber of arbi-trary two dimensional bodies[J].Co-mputPhys,1974,(15):299-319.
• [6]赵斌娟,袁寿其,刘厚林,等.双流道泵叶轮内贴体网格生成与CFD分析[J].排灌机械,2008,26(2):10-14.
• [7]Steger J L,Chaussee D S.Generation of body-fitted co-ordinates using hyperbolic partial differential equations[M].SIAM JSciStat Comp,1980.
• [8]Nakamura S.Marching grid generation using par-abolicpartial differential equations[J].Numerical grid Gen-eration,1982,79-105.
• [9]王春发,陈国华,杨万里.复杂组合气道三维分块结构化贴体网格的生成[J].华中科技大学学报(自然科学版),2004,32(3):14-16.
• [10]郭鹏程,罗兴锜,刘胜柱.离心泵内叶轮与蜗壳间耦合流动的三维紊流数值模拟[J].农业工程学报,2005,21(8):2-5.
• [11]Lohner R.A parallel advancing front grid generationscheme[M].ALAA,2000.
• [12]Lo S H.Volume discretization into tetrahedralⅡ:3DTriangulation by advancing front approach[J].Com-puters and Structures,1991,39(5):501-511.
• [13]Lohner R,Parikh P,Gumbert C.Interactive gen-era-tion of unstructured grid for three dimensional prob-lems[A].In:Proceedings of Numerical Grid Genera-tion in Computational Fluid Mechanics,Pi-neridgePress,1988:687-697.
• [14]Watson D.Computing the n-dimensional Delaunaytessellation with application to Voronoi polytopes[J].The Computer Journal,1981,24(2):167-172.
• [15]Frey P J,Loic M.Fast adaptive quadtree mesh gener-ation[A].In:Proceedings of the 7th Interna-tionalMeshing Roundtable,Dearborn,1998,211-224.
• [16]Yerry M A,Shephard M.S.A modified q-uad tree ap-proach to finite element mesh generati-on[J].IEEEComp Graph Appl,1983,39-46.
• [17]Kikuchi,Noboru.Adaptive grid-design methods for fi-nite element analysis[J].Comp.Meth Appl Mech.Eng,1986,55:129-160.
• [18]Rebay S.Efficient unstructured mesh generation bymeans of Delaunay triangulation and Bowyer-Watsonalgorithm[J].Journal of Coomputational physics,1993,106-125.
• [19]Pascal J,Houman Borouchaki.3D Delaunay mes-hgeneration coupled with an advancing-front app-roach.Computer method in applied mechanics andengineering,1998,115-131.
• [20]刘学强,伍贻兆,夏健.用混合网格求解三维可压雷诺平均N-S方程[J].计算力学学报,2002,19(3):24-27.
• [21]Weatherill.N.P.Mixed structured-unstructured me-shes for aerodynamic flow simulation[J].The Aero-nauti,1990,94:111-123.
• [22]Yao Zheng,Meng-Sing.Three-dimensional dragon gridmethodology for computational fluid dynamic-s.Com-putational fluid dynamics journal,2002,10(4):585-591.
• [23]张素平,张涵信.矩形/非结构化网格技术在二维/三维复杂无粘流场数值模拟中的应用[J].空气动力学学报,1998,16(1):79-88.
• [24]阎超,禹建军,李君哲.热流CFD计算中格式和网格效应若干问题研究[J].空气动力学报,2006,24(1):125-130.
• [25]RoGers D F,ADAMS J A.Mathenatical E-lements forComputer Graghics[M].1989.
• [26]Houman Borouchaki,Patrick Laugand Paul-Louis George.Parametric surface meshing using a comb-ined advancing-front generalized Delaunay approa-ch[J].Internationaljournal for numerical methods in engineering,2000,49:233-259.
• [27]张潇,王延荣,张小伟,等.基于多层动网格技术的流固耦合方法研究[J].船舶工程,2009,31(1):64-66.
• [28]张志荣,冉景煜,张力,等.内燃机缸内气体CFD瞬态分析中动态网格划分技术[J].重庆大学学报(自然科学版),2005,28(11):97-100.
• [29]夏键,田书玲,王江峰,等.三维动态非结构重叠Navier-Stokes方程并行算法[J].航空学报,2008,(1):53-57.
• [30]田书玲,伍贻兆,夏键.用动态非结构重叠网格法模拟三维多体相对运动绕流[J].航空学报,2007,28(1):46-52.
• [31]郭成昊,刘凤玉.自适应网格计算模型与分析[J].计算机工程,2008,34(8):41-46.
• [32]赵会军,吕丹丹.用自适应网格法计算管道的水力瞬变[J].油气储运,2008,27(5):24-27.