Volume 6, Issue 1
An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid

Li Ding, Zhiliang Lu & Tongqing Guo

Adv. Appl. Math. Mech., 6 (2014), pp. 120-134.

Published online: 2014-06

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  • Abstract

Aiming at a complex multi-block structured grid, an efficient dynamic mesh generation method is presented in this paper, which is based on radial basis functions (RBFs) and  transfinite interpolation (TFI). When the object is moving, the multi-block structured grid would be changed. The fast mesh deformation is critical for numerical simulation. In this work, the dynamic mesh deformation is completed in two steps. At first, we select all block vertexes with known deformation as center points, and  apply RBFs interpolation to get the grid deformation on block edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and  inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. Numerical results show that the dynamic meshes for all test cases can be generated in an accurate and  efficient manner.

  • Keywords

Multi-block structured grid mesh deformation radial basis functions transfinite interpolation

  • AMS Subject Headings

65Z05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-120, author = {Li Ding, Zhiliang Lu and Tongqing Guo}, title = {An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {1}, pages = {120--134}, abstract = {

Aiming at a complex multi-block structured grid, an efficient dynamic mesh generation method is presented in this paper, which is based on radial basis functions (RBFs) and  transfinite interpolation (TFI). When the object is moving, the multi-block structured grid would be changed. The fast mesh deformation is critical for numerical simulation. In this work, the dynamic mesh deformation is completed in two steps. At first, we select all block vertexes with known deformation as center points, and  apply RBFs interpolation to get the grid deformation on block edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and  inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. Numerical results show that the dynamic meshes for all test cases can be generated in an accurate and  efficient manner.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m199}, url = {http://global-sci.org/intro/article_detail/aamm/8.html} }
TY - JOUR T1 - An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid AU - Li Ding, Zhiliang Lu & Tongqing Guo JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 120 EP - 134 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.2013.m199 UR - https://global-sci.org/intro/aamm/8.html KW - Multi-block structured grid KW - mesh deformation KW - radial basis functions KW - transfinite interpolation AB -

Aiming at a complex multi-block structured grid, an efficient dynamic mesh generation method is presented in this paper, which is based on radial basis functions (RBFs) and  transfinite interpolation (TFI). When the object is moving, the multi-block structured grid would be changed. The fast mesh deformation is critical for numerical simulation. In this work, the dynamic mesh deformation is completed in two steps. At first, we select all block vertexes with known deformation as center points, and  apply RBFs interpolation to get the grid deformation on block edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and  inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. Numerical results show that the dynamic meshes for all test cases can be generated in an accurate and  efficient manner.

Li Ding, Zhiliang Lu & Tongqing Guo. (1970). An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid. Advances in Applied Mathematics and Mechanics. 6 (1). 120-134. doi:10.4208/aamm.2013.m199
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