In this talk we describe our efforts to use the Finite-Difference Time-Domain (FDTD) method to model nanostructures that may have topological photonics applications. Our starting point is an attempt to reproduce some of the results of Raghu and Haldane [ Phys. Rev. A. 78, 033834 (2008)]. We will describe our approach, some of the technical challenges of using the FDTD method for this application, their resolution as well as discuss our progress to date. We will conclude with a discussion of next steps, future directions and how this work can support experimental work in this area.