Variational method for adaptive mesh generation

被引:0
|
作者
B. N. Azarenok
机构
[1] Russian Academy of Sciences,Dorodnicyn Computing Center
关键词
adaptive moving grid; minimization of functional; control metric; monitor metric; infinite barrier;
D O I
暂无
中图分类号
学科分类号
摘要
A variational method is suggested for generating adaptive grids composed of hexahedral cells. The method is based on the minimization of a functional written on a manifold in a space whose variables are usual spatial coordinates in a physical domain and the components of a monitor vector function. A grid is constructed in the manifold, and its projection onto the physical domain yields an adaptive grid. Examples of adaptive grid generation are given.
引用
收藏
页码:786 / 804
页数:18
相关论文
共 50 条
  • [21] Efficiency properties of adaptive mesh generation
    Jänicke, L
    Kost, A
    [J]. PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON ELECTROMAGNETIC FIELD PROBLEMS AND APPLICATIONS, 2000, : 189 - 194
  • [22] Efficiency properties of adaptive mesh generation
    Jänicke, L
    Kost, A
    [J]. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2001, 13 (1-4) : 387 - 392
  • [23] Variational barrier method of adaptive grid generation in hyperbolic problems of gas dynamics
    Azarenok, BN
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 40 (02) : 651 - 682
  • [24] Domain deformation mapping: Application to variational mesh generation
    De Almeida, VF
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 20 (04): : 1252 - 1275
  • [25] A variational framework for high-order mesh generation
    Turner, Michael
    Peiro, Joaquim
    Moxey, David
    [J]. 25TH INTERNATIONAL MESHING ROUNDTABLE, 2016, 163 : 340 - 352
  • [26] TEAM: Triangular-mEsh Adaptive and Multiscale proton spot generation method
    Wang, Chao
    Lin, Bowen
    Lin, Yuting
    Shontz, Suzanne M.
    Huang, Weizhang
    Chen, Ronald C.
    Gao, Hao
    [J]. MEDICAL PHYSICS, 2024,
  • [27] SELF-ADAPTIVE MESH GENERATION TECHNIQUE FOR THE FINITE-ELEMENT METHOD
    PENMAN, J
    GRIEVE, MD
    [J]. IEE PROCEEDINGS-A-SCIENCE MEASUREMENT AND TECHNOLOGY, 1987, 134 (08): : 634 - 650
  • [28] AN IMPROVED CONTENT-ADAPTIVE MESH-GENERATION METHOD FOR IMAGE REPRESENTATION
    Adams, Michael D.
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, 2010, : 873 - 876
  • [29] Adaptive Anisotropic Unstructured Mesh Generation Method Based on Fluid Relaxation Analogy
    Fu, Lin
    Hu, Xiangyu
    Adams, Nikolaus
    [J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 27 (05) : 1275 - 1308
  • [30] Adaptive Unstructured Mesh Generation in Dual Interpolation Boundary Face Method Implementation
    Chi, Baotao
    Zhu, Yuqi
    Guo, Qianjian
    Yuan, Wei
    Zhang, Yaoming
    [J]. Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2023, 50 (04): : 76 - 86