  We propose a hybrid spatial discretization for the radiative transport
equation that combines a second-order discontinuous Galerkin (DG) method and a
second-order finite volume (FV) method. The strategy relies on a simple
operator splitting that has been used previously to combine different angular
discretizations. Unlike standard FV methods with upwind fluxes, the hybrid
approach is able to accurately simulate problems in scattering dominated
regimes. However, it requires less memory and yields a faster computational
time than a uniform DG discretization. In addition, the underlying splitting
allows naturally for hybridization in both space and angle. Numerical results
are given to demonstrate the efficiency of the hybrid approach in the context
of discrete ordinate angular discretizations and Cartesian spatial grids.
