Name
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 efficiency. This paper presents a procedure that combines Bézier mesh curving and size-driven mesh adaptation technologies to address those requirements. A moving mesh size field drives a curved mesh modification procedure to generate valid curved meshes that have been successfully analyzed by SLAC National Accelerator Laboratory researchers to simulate the short-range wakefields 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 efficiency 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 refined meshes. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00366-010-0179-5 | Eng. Comput. (Lond.) |
Keywords | Field | DocType |
refined mesh,mesh adaptation · bezier mesh curving · higher order finite elements,higher-order finite element simulation,curved mesh adaptation,valid curved mesh,size-driven mesh adaptation technology,computational efficiency,valid curvilinear,zier mesh curving,curved mesh modification procedure,mesh size field,higher-order finite element method,time domain,higher order,finite element method,finite element,particle acceleration | Mathematical optimization,Polygon mesh,Particle accelerator,Simulation,Cryomodule,Volume mesh,Finite element method,Bézier curve,Computational science,Curvilinear coordinates,Mathematics,Mesh generation | Journal |
Volume | Issue | ISSN |
27 | 1 | 1435-5663 |
Citations | PageRank | References |
7 | 0.62 | 7 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaojuan Luo | 1 | 68 | 6.91 |
| Mark S. Shephard | 2 | 479 | 67.67 |
| Lie-Quan Lee | 3 | 29 | 5.42 |
| Lixin Ge | 4 | 16 | 3.48 |
| Cho Ng | 5 | 9 | 1.49 |