  We present a new approximate Riemann solver for the augmented system of
equations of resistive relativistic magnetohydrodynamics (RRMHD) that belongs
to the family of Harten-Lax-van Leer contact wave (HLLC) solvers. In HLLC
solvers, the solution is approximated by two constant states flanked by two
shocks separated by a contact wave. The accuracy of the new approximate solver
is calibrated through one- and two-dimensional test problems.
