Modeling flow through fractures is a major challenge in the design of recovery mechanisms from naturally fractured reservoirs, since proper structural characterization of fracture networks and fracture transport properties are rarely available. We investigate single-phase flow dynamics in a rough fracture model constructed from high-resolution X-ray computed tomography images, using computational fluid dynamics. Flow simulations gave a detailed description of pressure and velocity fields and showed that this approach can be used for the deterministic analysis of single-phase flow through fractures. Our results demonstrate the formation of preferential flow channels and their correlation with local structural characteristic of the fracture.