This paper describes an approach for incorporating oceanic turbulence effects into numerical simulations of Ocean Current Turbines (OCT)s. This approach uses a combination of analytic expressions and numerical methods that can be called by variable time step integration routines without requiring the generation of a-priori ambient flow time histories. Ambient turbulence intensity and mean flow speed are user input parameters and Kolmogorov's five-thirds law is utilized to obtain the frequency spectra upon which the algorithm is based. Copyright 2016, The Society of Naval Architects and Marine Engineers.