A solution-based triangular and tetrahedral mesh quality indicator

被引:28
|
作者
Berzins, M [1 ]
机构
[1] Univ Leeds, Sch Comp Studies, Leeds LS2 9JT, W Yorkshire, England
来源
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1998年 / 19卷 / 06期
关键词
unstructured meshes; tetrahedral mesh quality; l(2) error information;
D O I
10.1137/S1064827596305222
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based on both geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that local solution information in the form of scaled derivatives along edges is taken into account.
引用
收藏
页码:2051 / 2060
页数:10
相关论文
共 50 条
  • [1] Solution-based mesh quality indicators for triangular and tetrahedral meshes
    Berzins, M
    INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 2000, 10 (03) : 333 - 346
  • [2] Tetrahedral mesh generation based on space indicator functions
    Friess, Hansmartin
    Haussener, Sophia
    Steinfeld, Aldo
    Petrasch, Joerg
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 93 (10) : 1040 - 1056
  • [3] Tetrahedral mesh segmentation based on quality criteria
    Neves, Leandro Alves
    Pavarino, Eduardo
    Cintra, Andre Felipe
    Zafalon, Geraldo Francisco D.
    do Nascimento, Marcelo Zanchetta
    Valencio, Carlos Roberto
    2016 17TH INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED COMPUTING, APPLICATIONS AND TECHNOLOGIES (PDCAT), 2016, : 358 - 361
  • [4] A Solution-Based Anisotropic Template Route to Triangular Pyramid Shells
    Lu, Jian
    Chen, Dairong
    Jiao, Xiuling
    Li, Wei
    CRYSTAL GROWTH & DESIGN, 2009, 9 (07) : 3296 - 3300
  • [5] Solution-based adaptive mesh redistribution applied to harmonic balance solvers
    Djeddi, Reza
    Ekici, Kivanc
    AEROSPACE SCIENCE AND TECHNOLOGY, 2019, 84 : 543 - 564
  • [6] TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
    Si, Hang
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2015, 41 (02):
  • [7] Quality encoding for tetrahedral mesh optimization
    Xu, Kai
    Cheng, Zhi-Quan
    Wang, Yanzhen
    Xiong, Yueshan
    Zhang, Hao
    COMPUTERS & GRAPHICS-UK, 2009, 33 (03): : 250 - 261
  • [8] Quality tetrahedral mesh generation for macromolecules
    Cheng, Ho-Lun
    Shi, Xinwei
    ALGORITHMS AND COMPUTATION, PROCEEDINGS, 2006, 4288 : 203 - +
  • [9] Solution-Based Mesh Adaption Criteria Development for Accelerating Flame Tracking Simulations
    Shrivastava, Sourabh
    Verma, Ishan
    Yadav, Rakesh
    Nakod, Pravin
    JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME, 2023, 145 (05):
  • [10] INCREASED PRODUCTIVITY FOR FILM COOLING SIMULATIONS USING SOLUTION-BASED MESH ADAPTION
    Norman, Adam
    Arguinzoni, Carlo
    Pons, David
    Zori, Laith
    PROCEEDINGS OF ASME TURBO EXPO 2023: TURBOMACHINERY TECHNICAL CONFERENCE AND EXPOSITION, GT2023, VOL 7A, 2023,