Anisotropic Mesh Gradation Control
نویسندگان
چکیده
The paper presents an a priori procedure to control the element size and shape variation for meshing algorithms governed by anisotropic sizing specifications. The field of desired element size and shape is represented by a background structure. The procedure consists in replacing the initial field with a smoothed one that preserves anisotropic features and smaller element sizes. The smoothness of the resulting field can be controlled by a prescribed threshold value γ0. Examples are included to show the application in three dimensional anisotropic adaptive simulation, as well as the effect of γ0.
منابع مشابه
Finite Elements in Analysis andDesign
Finite Elements in Analysis and Design ()-This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic formulations of mesh gradation. The metric at each point defines a well-graded smooth continuous metric field over the domain. The mesh gradation then consists in taking into account at each point the strongest size constraint given by all these continuous metric fiel...
متن کاملHigh Quality Geometric Meshing of CAD Surfaces
A wide range of surfaces can be defined by means of composite parametric surfaces as is the case for most CAD modelers. There are, essentially, two approaches to meshing parametric surfaces: direct and indirect. Popular direct methods include the octree-based method, the advancing-front-based method and the paving-based method working directly in the tridimensional space. The indirect approach ...
متن کاملDirect Triangulation of 3D Surfaces Using the Advancing Front Technique
A robust and eecient algorithm for discretization of tensor product polynomial surfaces is presented. The advancing front technique operating directly on the surface in the physical space is employed. This avoids diiculties with the anisotropic trian-gulation of parametric space of these surfaces and also guarantees the creation of well shaped triangles even in case of degenerated or badly para...
متن کاملMesh Gradation Control
This paper gives a procedure to control the size variation in a mesh adaption scheme where the size speci cation (the so-called control space) is used to govern the mesh generation stage. The method consists in replacing the initial control space by a reduced one by means of size or metric. It allows to improve, a priori, the quality of the adapted mesh and to speed up the adaption procedure. S...
متن کاملIntelligent Initial Finite Element Mesh Generation for Solutions of 2D Problems
The new strategy for non-uniform initial FE mesh generation is presented in this paper. The main focus is set to a priori procedures that define the sizing function independent on the mesh generation algorithm. The sizing function used by the mesh generation algorithm is established by control sphere and control space concepts and fully controls mesh gradation in the complex 2D problem domains.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004