A Priori Error-Controlled Simulations of Electromagnetic Phenomena for HPC

Recent times have witnessed enormous advances in high fidelity modeling of electromagnetic (EM) phenomena in the time-domain. To make such simulations tractable, the computational region must be truncated in a manner allowing outgoing waves to leave with minimal reflection from the boundary. HyPerComp Inc., in collaboration with Prof. Thomas Hagstrom of the Southern Methodist University (Dallas, TX) have been investigating a boundary condition procedure named Complete Radiation Boundary Condition (CRBC) for advanced EM simulation systems. The CRBC requires no tuning parameters to achieve optimal performance for a specified level of accuracy. In Phase I a preliminary demonstration of the CRBC approach was performed on unstructured mesh systems and some important estimates of accuracy and stability have been verified in conjunction with a high order accurate EM solver which uses the discontinuous Galerkin method. Proposed Phase II development aims to generalize the formulation to a variety of discretization procedures and high performance computing platforms. We wish to develop this into an open source boundary condition module named HDcrbc which can interface with EM solvers often used in the community to deliver any specified accuracy efficiently, without the need for tuning parameters, both of which are highly desirable attributes in EM simulations.