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Two-dimensional finite element mesh generation algorithm for electromagnetic field calculation

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Chinese Physics B 2021年第1期30卷 118-125页

作者： Chun-Feng Zhang Wei Wang Si-Guang An Nan-Ying Shentu Department of Mechanical and Electrical Engineering China Jiliang UniversityHangzhou 310016China

Two-dimensional finite element mesh generation algorithm for electromagnetic field calculation is proposed in this paper to improve the efficiency and accuracy of electromagnetic calculation. An image boundary extraction algorithm is developed to map the image on the geometric domain. Identification algorithm for the location of nodes in polygon area is proposed to determine the state of the node. To promote the average quality of the mesh and the efficiency of mesh generation, a novel force-based mesh smoothing algorithm is proposed. One test case and a typical electromagnetic calculation are used to testify the effectiveness and efficiency of the proposed algorithm. The results demonstrate that the proposed algorithm can produce a high-quality mesh with less iteration.

关键词： mesh generation smoothing function finite element electromagnetic calculation

A fast and practical method to pack spheres for mesh generation

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Acta Mechanica Sinica 2008年第4期24卷 439-447页

作者： Jianfei Liu Shuixiang Li Yongqiang Chen LTCS College of EngineeringPeking University Beijing 100871 China

Sphere packing is an attractive way to generate high quality mesh. Several algorithms have been proposed in this topic, however these algorithms are not sufficiently fast for large scale problems. The paper presents an efficient sphere packing algorithm which is much faster and appears to be the most practical among all sphere packing methods presented so far for mesh generation. The algorithm packs spheres inside a domain using advancing front method. High efficiency has resulted from a concept of 4R measure, which localizes all the computations involved in the whole sphere packing process.

关键词： Sphere packing· Front Sheltering operation ·mesh sizing function mesh generation

Fast advancing layer method for viscous mesh generation

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中国航空学报:英文版 2023年第9期36卷 133-150页

作者： Hongfei YE Jianjun CHEN Yufei PANG Yang LIU Yao ZHENG School of Aeronautics and Astronautics Zhejiang UniversityHangzhou 310027China Center for Engineering and Scientific Computation Zhejiang UniversityHangzhou 310027China China Aerodynamics Research and Development Center Mianyang 621000China

An efficient Advancing Layer Method(ALM)is presented to create semi-structured prisms on viscous walls,in which a procedure that checks possible front intersections is essential to its *** paper develops various novel schemes to improve the algorithm’s efficiency precisely while not sacrificing its robustness and the resulting mesh ***,it employs a set of new techniques,and data structures are developed to improve the efficiency of the frontcheck ***,within each octant,a new filter is developed to reduce the intersection computations in the searching *** addition,data structures are well designed to store the contiguously accessed data in each computing-intensive loop in a contiguous space for a potentially better cache hit *** built a geometry model library formed by examples of industrial complexity to demonstrate the practicability of the *** the efforts mentioned above enable us to reduce the percentage of computing time taken by intersection check to an acceptable level(approximately 26%),which make it no longer be the most time-consuming part.

关键词： Advancing layer method Intersection check mesh generation Viscous mesh Boundary layer

Automatic mesh generation on a Regular Background Grid

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Journal of Computer Science & Technology 2002年第6期17卷 882-887页

作者： LO S.H 刘剑飞 Department of Civil Engineering The University of Hong Kong Hong Kong P.R. China Department of Mechanics Peking University Beijing 100871 P.R. China

This paper presents an automatic mesh generation procedure on a 2D domain based on a regular background grid. The idea is to devise a robust mesh generation scheme with equal emphasis on quality and efficiency. Instead of using a traditional regular rectangular grid, a mesh of equilateral triangles is employed to ensure triangular element of the best quality will be preserved in the interior of the domain. As for the boundary, it is to be generated by a node/segment insertion process. Nodes are inserted into the background mesh one by one following the sequence of the domain boundary. The local structure of the mesh is modified based on the Delaunay criterion with the introduction of each node. Those boundary segments, which are not produced in the phase of node insertion, will be recovered through a systematic element swap process. Two theorems will be presented and proved to set up the theoretical basic of the boundary recovery part. Examples will be presented to demonstrate the robustness and the quality of the mesh generated by the proposed technique.

关键词： mesh generation background grid triangular mesh boundary recovery

Prismatic mesh generation based on anisotropic volume harmonic field

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Advances in Aerodynamics 2021年第1期3卷 228-243页

作者： Yiming Zhu Shengfa Wang Xiaopeng Zheng Na Lei Zhongxuan Luo Bo Chen Dalian University of Technology NO.2 Linggong RoadGanjingzi DistrictDalianChina Computational Aerodynamics Institute China Aerodynamics Research and Development CenterMianyangChina.

In this paper,we present an effective prismatic mesh generation method for viscous flow *** address the prismatic mesh collisions in recessed cavities or slit areas,we exploit 3D tensors controlled anisotropic volume harmonic field to generate prismatic ***,a well-fitting tetrahedral mesh is first constructed to serve as the discrete computation domain of volume harmonic ***,3D tensors are exploited to control the volume harmonic field that better fits the shape *** the topological perspective,the generation of the prismatic mesh can be treated as a topology-preserved morphing of the viscous ***,iso-surfaces in the volume harmonic field should be homeomorphic to the viscous wall while fitting its ***,a full prismatic mesh can be induced by estimating the forward directions and visible regions in the volume harmonic ***,to be compatible with different simulation situations,the thickness of prismatic meshes should be *** approach provides local adjustable thickness of prismatic meshes,which can be achieved by controlling local 3D *** proposed anisotropic volume harmonic field based prismatic meshes are efficient and robust,and a full prismatic mesh can be guaranteed without low quality *** experiments have shown that our proposed prismatic meshes have obvious advantages in terms of efficiency and effectiveness.

关键词： mesh generation Prismatic mesh Volume harmonic field 3D tensor Minkouski sum

Study on boundary search method for DFM mesh generation

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China Foundry 2012年第3期9卷 231-233页

作者： Li Ri Li Fei Zhang Jianqiang Shen Fatian Institute of Materials Science and Technology Hebei Universityof TechnologyTianjinChina

The boundary mesh of the casting model was determined by direct calculation on the triangular facets extracted from the STL file of the 3D model. Then the inner and outer grids of the model were identified by the algorithm in which we named Inner Seed Grid Method. Finally, a program to automatically generate a 3D FDM mesh was compiled. In the paper, a method named Triangle Contraction Search Method (TCSM) was put forward to ensure not losing the boundary grids; while an algorithm to search inner seed grids to identify inner/outer grids of the casting model was also brought forward. Our algorithm was simple, clear and easy to construct program. Three examples for the casting mesh generation testified the validity of the program.

关键词： DFM mesh generation boundary search method triangle plane contraction search

AUTOMATIC mesh generation OF 3—D GEOMETRIC MODELS

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Acta Mechanica Sinica 2003年第3期19卷 285-288页

作者：刘剑飞 DepartmentofMechanicsandEngineeringScience PekingUniversityBeijing100871China

In this paper the presentation of the ball-packing method is reviewed,and a scheme to generate mesh for complex 3-D geometric models is given,which consists of 4 steps:(1)create nodes in 3-D models by ball-packing method,(2)connect nodes to generate mesh by 3-D Delaunay triangulation,(3)retrieve the boundary of the model after Delaunay triangulation,(4)improve the mesh.

关键词： FEM mesh generation 3D model ball-packing method

mesh generation from Dense 3D Scattered Data Using Neural Network

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Computer Aided Drafting,Design and Manufacturing 2004年第1期14卷 30-35页

作者： ZHANGWei JIANGXian-feng CHENLi-neng MAYa-liang DepartmentofMechanicalandElectronicEngineering ZhejiangUniversityCityCollegeHangzhou310015China CollegeofMechanicalandElectronicEngineering ZhejiangUniversityofTechnologyHangzhou310014China JinhuaCollegeofProfessionandTechnology Jinghua321017China

An improved self-organizing feature map (SOFM) neural network is presented to generate rectangular and hexagonal lattic with normal vector attached to each vertex. After the neural network was trained, the whole scattered data were divided into sub-regions where classified core were represented by the weight vectors of neurons at the output layer of neural network. The weight vectors of the neurons were used to approximate the dense 3-D scattered points, so the dense scattered points could be reduced to a reasonable scale, while the topological feature of the whole scattered points were remained.

关键词： reverse engineering mesh generation neural network scattered points data extraction

Surface Modelling and mesh generation for Simulating Superplastic Forming

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Computer Aided Drafting,Design and Manufacturing 2002年第2期12卷 10-18页

作者： ZhaoHongsheng LinJianguo CollegeofMechanicalEngineering TaiyuanUniversityofTechnologyTaiyuan030024China SchoolofManu andMechEngineeringUniversityofBirminghamBirminghamB15UK

This paper presents an approach which enables surface modelling, mesh generation and the Finite Element (FE) analysis to be integrated together to simulate superplastic forming process for complex shaped components. Techniques have been developed to generate an FE mesh over non-four-sided surface areas, the boundaries of which are Bezier curves of arbitrary degree, using a consistent expression. Theoretical evidence is given to determine the number of Bezier triangular patches required for accurately re-constructing die surfaces within a commercial FE solver. The developed techniques have been successfully used in determining the process parameters for forming a 3D rectangular box.

关键词： surface modelling mesh generation superplastic forming