Efficient Generation of High-Quality Unstructured Surface and Volume Grids

作者: D. L. Marcum

DOI: 10.1007/PL00013386

关键词: GridInterpolationSurface (mathematics)Point (geometry)Mesh generationTopologyTetrahedronTransformation (function)GeometryPoint distribution modelMathematics

摘要: Procedures are presented for efficient generation of high-quality unstructured surface and volume grids. The overall procedure is based on the well proven Advancing Front/Local-Reconnection (AFLR) method. AFLR triangular/tetrahedral grid a combination automatic point creation, advancing type ideal placement, connectivity optimization schemes. A valid maintained throughout process. This provides framework implementing local search operations using simple data structure. It also means smoothly distributing desired spacing in field distribution function. function propagated through by interpolation from boundary or specified growth normal to boundaries. Points generated either advancing- front placement isotropic elements, advancing-point right angle advancing-normal high-aspect-ratio elements. new points initially obtained direct subdivision elements that contain them. Local-reconnection with min-max (minimize maximum angle) criterion then used optimize connectivity. applied repetitively until complete obtained. An coupled anisotropic tetrahedral pentahedral element along prescribed normals solid boundaries generates layers such an implied can be directly recovered. uses approximate physical space define during generation. mapped coordinates back actual at completion. Multiple definition patches grouped into single surface. global mapping transformation solving set Laplacian equations. has been wide variety configurations. Selected results which demonstrate grids efficiently consistently complex

参考文章(14)
R. Lohner, Three-dimensional grid generation by the advancing front method Int. J. Numer. Meths. Fluids.. ,vol. 8, pp. 1135- 1149 ,(1988)
Jaime Peraire, Joaquin Peiro, Luca Formaggia, Ken Morgan, Olgierd C. Zienkiewicz, Finite element Euler computations in three dimensions International Journal for Numerical Methods in Engineering. ,vol. 26, pp. 2135- 2159 ,(1988) , 10.1002/NME.1620261002
David L. Marcum, Adaptive unstructured grid generation for viscous flow applications AIAA Journal. ,vol. 34, pp. 2440- 2443 ,(1996) , 10.2514/3.13418
David Marcum, J. Gaither, Mixed Element Type Unstructured Grid Generation for Viscous Flow Applications 14th Computational Fluid Dynamics Conference. ,(1999) , 10.2514/6.1999-3252
TIMOTHY BAKER, Three dimensional mesh generation by triangulation of arbitrary point sets 8th Computational Fluid Dynamics Conference. ,(1987) , 10.2514/6.1987-1124
David L. Marcum, Nigel P. Weatherill, Unstructured grid generation using iterative point insertion and local reconnection AIAA Journal. ,vol. 33, pp. 1619- 1625 ,(1995) , 10.2514/3.12701
Mark S. Shephard, Marcel K. Georges, Automatic three‐dimensional mesh generation by the finite octree technique International Journal for Numerical Methods in Engineering. ,vol. 32, pp. 709- 749 ,(1984) , 10.1002/NME.1620320406
Charles L. Lawson, Properties of n -dimensional triangulations Computer Aided Geometric Design. ,vol. 3, pp. 231- 246 ,(1987) , 10.1016/0167-8396(86)90001-4