Göttingen 2012 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 82: Beschleunigerphysik 4

T 82.8: Vortrag

Dienstag, 28. Februar 2012, 18:30–18:45, VG 1.104

Implementation and Investigation of a Local Time Integration Scheme based on DG-FEM — •Kai Papke, Carsten Potratz, and Ursula van Rienen — Universität Rostock

For the design and optimization of Higher-Order-Mode Coupler, used in RF accelerator structures, numerical computations of electromagnetic fields as well as scattering parameter are essential. These computations can be carried out in time domain. In this work the implementation and investigation of a local time integration scheme based on the discontinuous Galerkin finite-element method (DG-FEM) is demonstrated for solving 3-D electromagnetic problems in time domain. According to the Courant-Friedrich-Levy condition the smallest element of a mesh, resulting of the spatial discretization, determines the maximum stable time step using global time integration schemes. In the case of grids with a very high aspect ratio the computational effort can be significantly reduced by performing local time stepping to guarantee only local stability. The local integration scheme is implemented in NUDG++, a framework written in C++ that deals with the DG-FEM for spatial discretization of Maxwell equations. Moreover the algorithm is adapted for the execution on GPUs. Accuracy and performance is analyzed by two suitable benchmarks.