Papers by Keyword: Mesh Refinement

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Authors: Zi Lin Jiang, Jian Xin Zhou, Ya Jun Yin
Abstract: A grid generation method for the three-dimensional arbitrary complex geometry of casting is introduced for the foundry simulation. The approach of a STL (STereo Lithography) model from CAD to a distance field is described in detail. The mesh generated by this approach is based on a fully threaded tree and refined at specific positions according to the distance field. This algorithm may make the mesh become fine at the surface and coarse inside. Several examples are provided to validate this algorithm.
Authors: Qiu Chong Zhang, Zhi Bing Zhang, Yu Qi Liu
Abstract: A trimming algorithm is presented for trimming process of refined meshes in sheet metal forming simulation. Firstly, trimming line is pretreated to guarantee it smooth enough for trimming process. Secondly, the elements around the trimming line are found and refined to the highest adaptive level. Thirdly, the intersection points between trimming line segment and the element edge can be obtained using an Advancing Inciting and Adjustment method. Then new number is distributed to nodes of elements on one side of trimming line so that the meshes can be divided into several parts by the trimming line. Finally physical quantities of the remained elements are inherited from the original elements. At last the validity, practicability and speediness of the algorithm are verified with a numerical experiment. And the algorithm is integrated into a sheet metal forming simulation program, FASTAMP.
Authors: M.H. Moavenian, Majidreza Nazem, John Phillip Carter
Abstract: Despite recent advances in the finite element method, mesh distortion due to large deformations may still occur in some problems such as footings subjected to deep penetration or objects penetrating into a soil layer. In order to overcome mesh distortion, robust remeshing techniques are required. In this paper the performance of four remeshing methods is studied by analysing a free falling penetrometer penetrating into an undrained layer of soil. These techniques are implemented within the framework of the Arbitrary Lagrangian-Eulerian method and include the refinement based on an elastic relocation, a technique based on the Radial Basis Functions, the Spring Analogy method, and the Elastic Hardening method. Since one of the challenging problems in a large deformation analysis is dealing with complex boundary shapes, a scheme based on the B-Splines used in isogeometric analysis is also presented here.
Authors: Yi Cen
Abstract: This paper discusses the combination of element enrichment by mesh refinement controlled by density function with the extended finite element method and its application in fracture mechanics. Extended finite element method (XFEM) is an effective numerical method for solving discontinuity problems in the finite element work frame. A numerical example of fracture mechanics is analyzed at the end of this paper to show the application of the above method.
Authors: Yoshitaka Wada, Takuji Hayashi, Masanori Kikuchi, Fei Xu
Abstract: Due to more complex and severe design restrictions, more effective and faster finite element analyses are demanded. There are several ways to compute FE analysis efficiently: parallel computing, fast iterative or direct solvers, adaptive analysis and so on. One of the most effective analysis ways is the combination of adaptive analysis and multigrid iterative solver, because an adaptive analysis requires several meshes with difference resolutions and multigrid solver utilizes such meshes to accelerate its computation. However, convergence of multigrid solver is largely affected by initial shape of each element. An effective mesh improvement method is proposed here. It is the combination of mesh coarsening and refinement. A good mesh can be obtained by the method to be applied to an initial mesh, and better convergence is achieved by the improved initial mesh.
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