@Article{AAMM-7-338,
author = {Ding , LiGuo , Tongqing and Lu , Zhiliang},
title = {A Hybrid Method for Dynamic Mesh Generation Based on Radial Basis Functions and Delaunay Graph Mapping},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {7},
number = {3},
pages = {338--356},
abstract = {<p style="text-align: justify;">Aiming at complex configuration and large deformation, an efficient hybrid
method for dynamic mesh generation is presented in this paper, which is based on
Radial Basis Functions (RBFs) and Delaunay graph mapping. Based on the computational
mesh, a set of very coarse grid named as background grid is generated firstly,
and then the computational mesh can be located at the background grid by Delaunay
graph mapping technique. After that, the RBFs method is applied to deform the background
grid by choosing partial mesh points on the boundary as the control points.
Finally, Delaunay graph mapping method is used to relocate the computational mesh
by employing area or volume weight coefficients. By applying different dynamic mesh
methods to a moving NACA0012 airfoil, it can be found that the RBFs-Delaunay graph
mapping hybrid method is as accurate as RBFs and is as efficient as Delaunay graph
mapping technique. Numerical results show that the dynamic meshes for all test cases
including one two-dimensional (2D) and two three-dimensional (3D) problems with
different complexities, can be generated in an accurate and efficient manner by using
the present hybrid method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m614},
url = {http://global-sci.org/intro/article_detail/aamm/12051.html}
}