A numerical model has been developed to study the use of a Rotating Magnetic Field (RMF) as an electron current drive mechanism for the formation and sustainment of a field-reversed configuration (FRC). Previous models assumed a fixed ion model, but here a full two-dimensional (r-θ) magnetohydrodynamic model has been developed. The model has been applied to two classes of problems: (1) For the sustainment problem, a RMF is applied to a preexisting FRC. (2) For the formation problem, a RMF is applied to a plasma column with an initially uniform axial magnetic field and background plasma density. The RMF-induced current reverses this bias field, forming a FRC. The code employs an option to include some three-dimensional effects to satisfy the average β condition and equalize pressure and density between inner and outer field lines, when it is applied to sustainment simulations.