  We propose a globally divergence conforming discontinuous Galerkin (DG)
method on Cartesian meshes for {\em curl-type hyperbolic conservation} laws
based on directly evolving the face and cell moments of the Raviart-Thomas
approximation polynomials. The face moments are evolved using a 1-D
discontinuous Gakerkin method that uses 1-D and multi-dimensional Riemann
solvers while the cell moments are evolved using a standard 2-D DG scheme that
uses 1-D Riemann solvers. The scheme can be implemented in a local manner
without the need to solve a global mass matrix which makes it a truly DG method
and hence useful for explicit time stepping schemes for hyperbolic problems.
The scheme is also shown to exactly preserve the divergence of the vector field
at the discrete level. Numerical results using second and third order schemes
for induction equation are presented to demonstrate the stability, accuracy and
divergence preservation property of the scheme.
