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Tracking Adaptive Moving Mesh Refinements in3D Curved Domains for Large-Scale HigherOrder Finite Element Simulations

Luo, Xiaojuan, Mark S. Shephard, Lie-Quan Lee, Cho Ng, and Lixin Ge

Proceedings, 17th International Meshing Roundtable, Springer-Verlag, pp.585-602, October 12-15 2008


17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 12-15, 2008

Rensselaer Polytechnic Institute, Troy, NY 12180,
Stanford linear Accelerator Center (SLAC), Menlo Park, CA 94025,,

When applying higher order finite elements to curved 3D domains in largescale accelerator simulations, complexities that arise include needing valid curved finite elements and the capability to track the movement of mesh refinement in the critical domains. This paper presents a procedure which combines BĀ„ezier mesh curving and size driven mesh adaptation technologies to address those requirements. The intelligent selection of local mesh modifications to eliminate invalid curved elements and properly control the size distribution are the two key technical components. The procedure has been successfully applied by SLAC to generate 3D moving curved meshes in the large-scale electromagnetic modeling of next generation accelerator designs. The results demonstrated that valid curvilinear meshes not only make the time domain simulations more reliable but also improve the computational efficiency up to 30%.

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