Relativistic MHD Simulations of Jets with Toroidal Magnetic Fields
  This paper presents an application of the recent relativistic HLLC approximate Riemann solver by Mignone & Bodo to magnetized flows with vanishing normal component of the magnetic field.   The numerical scheme is validated in two dimensions by investigating the propagation of axisymmetric jets with toroidal magnetic fields.   The selected jet models show that the HLLC solver yields sharper resolution of contact and shear waves and better convergence properties over the traditional HLL approach. 
A. Mignone, S. Massaglia and G. Bodo