Vacuum regions cause difficulty for Eulerian Z-pinch computation. Because of this difficulty, it is better to solve the full electromagnetic equations rather than the magnetic induction equation. A total variation diminishing (TVD) scheme is necessary not only for the hydrodynamic part but also for the electromagnetic part of Z-pinch computation because strong discontinuities often arise. In this paper, we implement the constrained transport (CT) method for electromagnetic wave equations to maintain the divergence constraint of the magnetic field while holding the TVD property. The original relaxing TVD scheme is modified to use cell-centered fluxes for updating and then incorporated with the CT scheme on a non-staggered mesh. A transverse magnetic wave test shows that this implementation is second-order TVD and divergence-free. A wire-array implosion test shows that this method is robust and useful for Z-pinch computation.

total variation diminishing (TVD), constrained transport (CT), electromagnetic wave equations, Z-pinch computation.