An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems

Experiments in adapting the Higdon non-reflecting boundary condition (NRBC) method to linear 2-D first-order systems are presented. Finite difference implementations are developed for the free-space Maxwell equations, the linearized shallow-water equations with Coriolis, and the linearized Euler equations with uniform advection. This NRBC technique removes up to 99% of the reflection error generated by the Sommerfeld radiation condition with only a modest increase in computational overhead.