A Priori Error-Controlled Simulations of Electromagnetic Phenomena for HPC

Recently significant advances have been made in the high fidelity modeling of electromagnetic phenomena in complex geometries in the time-domain. To make high fidelity simulations of scattering and radiation tractable, the computational region must be truncated in a manner allowing outgoing waves to leave with minimal reflection from the boundary. We, HyPerComp in collaboration with Professor Thomas Hagstrom of Southern Methodist University, propose to investigate and implement the Complete Radiation Boundary Condition (CRBC) for domain truncation in our discontinuous Galerkin based Maxwell's equations solver. The CRBC requires no tuning parameters to achieve optimal performance for a requested accuracy. We will perform a critical comparison of competing domain truncation methods for realistic problems to verify the efficiency and accuracy of the CRBC. Building on numerical evidence of the stability of the CRBC, we will develop a complete stability analysis to further bolster confidence in its use. Our implementation will provide a basis for the development of a general purpose domain truncation library, based on the CRBC, designed to function with existing time-domain codes and to deliver any specified accuracy efficiently.