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Regular Posit ion-Oriented Method for mesh Smoothing

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Acta Mechanica Solida Sinica 2021年第3期34卷 437-448页

作者： Yongqing Hai Yufei Guo Siyuan Cheng Yunpeng Hai Department of Mechanics and Engineering Science Peking UniversityBeijing 100871China X Lab Second Academy of China Aerospace Science and Industry CorporationBeijing 100854China State Key Laboratory of Hydraulic Engineering Simulation and Safety Tianjin UniversityTianjin 300072China A College of Electromechanical Engineering Qingdao University of Science and TechnologyQingdao 266061China

mesh smoothing is an essential technique for the improvement of mesh quality in finite element analysis,due to the fact that mesh quality has a large impact on the convergence of the computational scheme and the accuracy of the numerical results.A novel mesh smoothing method based on regular-position-guided operations is presented in this *** method introduced here contains two main stages:The first stage computes the regular position of each vertex based on the shape of the element and conducts regular-position-oriented-based element transformations independently;the second stage determines the finial position of each vertex according to its surrounding elements with an assembly *** method is not limited to planar triangular mesh,but applicable to surface polygonal *** experiments on various mesh models demonstrate the effectiveness and potential of this method.

关键词： mesh smoothing Element transformation Finite element analysis mesh quality

mesh Motion Approach Based on Spring Analogy Method for Unstructured meshes

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Journal of Shanghai Jiaotong university(Science) 2010年第2期15卷 138-146页

作者：张夏萍周岱包艳 School of Naval Architecture Ocean and Civil EngineeringShanghai Jiaotong University

mesh motion strategy is one of the key points in many fluid-structure interaction problems. One popular technique used to solve this problem is known as the spring analogy method. In this paper a new mesh update approach based on the spring analogy method is presented for the effective treatment of mesh moving boundary problems. The proposed mesh update technique is developed to avoid the generation of squashed invalid elements and maintain mesh quality by considering each element shape and grid scale to the definition of the spring stiffness. The method is applied to several 2D and 3D boundary correction problems for fully unstructured meshes and evaluated by a mesh quality indicator. With these applications,it is demonstrated that the present method preserves mesh quality even under large motions of bodies. We highlight the advantages of this method with respect to robustness and mesh quality.

关键词： mesh motion strategy unstructured meshes mesh quality grid scale

mesh simplification algorithm based on edge curvature metrics and local optimization

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International Journal of Modeling, Simulation, and Scientific Computing 2020年第1期11卷 28-41页

作者： Jun Huang Xiuhui Wang Jun Wang College of Modern Science and Technology China Jiliang University Hang Zhou P.R.China

Aiming at the problem that the mesh simplification algorithm loses the geometric features of the model in large-scale simplification,an improved half-edge collapse mesh simplification algorithm is *** concept of approximate measurement of edge curvature is introduced,and the edge curvature is added to the error measure,so that the order of half-edge collapse of the mesh is changed,and the simplified details of the mesh model can be preserved *** the same time,by analyzing the quality of simplified triangular mesh,optimizing triangular mesh locally,reducing the amount of narrow triangles,the quality of the simplified model is *** proposed algorithm was tested on Cow model,Car model and Bunny model,and compared with another three algorithms,one of them is a classical mesh simplification algorithm based on edge collapse,the other is an improved algorithm of the classical *** experimental results show that the improved algorithm can better retain the detail features of the original model at the same reduction ratio,and has reasonable mesh allocation,fast execution speed and small error.

关键词： mesh simplification half-edge collapse edge curvature local optimization mesh quality

Hybrid grid generation for viscous flow simulations in complex geometries

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Advances in Aerodynamics 2020年第1期2卷 324-341页

作者： Hongfei Ye Yang Liu Bo Chen Zhiwei Liu Jianjing Zheng Yufei Pang Jianjun Chen Center for Engineering and Scientific Computation Zhejiang UniversityHangzhou 310027China School of Aeronautics and Astronautics Zhejiang UniversityHangzhou 310027China China Aerodynamics Research and Development Center Mianyang 621000China State Key Lab of CAD&CG Zhejiang UniversityHangzhou 310027China

In this paper,we present a hybrid grid generation approach for viscous flow simulations by marching a surface triangulation on viscous walls along certain *** are on the computing strategies used to determine the marching directions and distances since these strategies determine the quality of the resulting elements and the reliability of the meshing procedure to a large *** respect to marching directions,three strategies featured with different levels of efficiencies and robustness performance are combined to compute the initial normals at front nodes to balance the trade-off between efficiency and robustness.A novel weighted strategy is used in the normal smoothing scheme,which evidently reduces the possibility of early stop of front generation at complex *** respect to marching distances,the distance settings at concave and/or convex corners are locally adjusted to smooth the front shape at first;a further adjustment is then conducted for front nodes in the neighbourhood of gaps between opposite viscous *** efforts,plus other special treatments such as multi-normal generation and fast detection of local/global intersection,as a whole enable the setup of a hybrid mesher that could generate qualitied viscous grids for geometries with industry-level complexities.

关键词： mesh generation Hybrid mesh mesh quality Viscous flow