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A Priori Error-Controlled Simulation of Electromagnetic Phenomena for HPC

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Technical rept. 13 Mar 2013-12 Mar 2015

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In this project we aim to construct a high fidelity boundary condition module for Maxwells equations that can be interfaced with major time-domain electromagnetics solver systems. There is ample need in the EM modeling community for reliable and stable far field boundary conditions of high accuracy. Most existing methods are limited in one or more of these requirements, and recent developments in the CRBC procedure as originally presented by Hagstrom and Warburton in 2009, have made the technique an attractive candidate for implementation in multi-purpose solvers. In phase-I of this project we implemented and improved upon many aspects of this method, particularly in light of the needs of high order accurate Maxwell equations solvers based on the discontinuous Galerkin method. Error bounds were computed and demonstrated for a number of cases. We continue in the second phase of this project to improve upon the robustness of this method, as we develop a software platform which shall be its flagship and open source implementation. In this second quarterly report we present a novel way to construct a upwinding numerical flux which solves the remaining problem from phase I of the project - instability issues of CRBC coupling with DG solver in 2D. The delay in submitting this second quarterly Q2 report is due to hire a new staff member Dr. Ronald Chen at HyPerComp and having him come up to speed on the work to be performed on this phase II contract. From here on, we will be on schedule in meeting the deliverables starting with the third quartly Q3 report due January 13, 2014.

Subject Categories:

  • Computer Programming and Software
  • Electricity and Magnetism
  • Radiofrequency Wave Propagation

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