| Author | Xiao-Juan Luo, Mark S. Shephard, Lie-Quan Lee, Lixin Ge and Cho Ng |
|---|---|
| Title | Moving curved mesh adaptation for higher-order finite element simulations |
| Year | 2010 |
| Journal | Engineering with Computers |
| Pages | 10 |
| Publisher | Springer-Verlag London Limited |
| Abstract | Higher-order finite element method requires valid curved meshes in three-dimensional domains to achieve the solution accuracy. When applying adaptive higher-order finite elements in large-scale simulations, complexities that arise include moving the curved mesh adaptation along with the critical domains to achieve computational efficency. This paper presents a procedure that combines Bezier mesh curving and size-driven mesh adaptation technologies to address those requirements. A moving mesh size field drives a curved mesh modifiction procedure to generate valid curved meshes that have been successfully analyzed by SLAC National Accelerator Laboratory researchers to simulate the short-range wake-fields in particle accelerators. The analysis results for a 8-cavity cryomodule wakefield demonstrate that valid curvilinear meshes not only make the time-domain simulations more reliable, but also improve the computational efficieny up to 30%. The application of moving curved mesh adaptation to an accelerator cavity coupler shows a tenfold reduction in execution time and memory usage without loss in accuracy as compared to uniformly refind meshes. Keywords: Mesh adaptation, Bezier mesh curving, Higher-order finite elements |
| PDF File |  Download |
| DOI Link | 10.1007/s00366-010-0179-5 |