We describe the implementation and testing of several recently developed boundary layer transition models into the overset computational naval hydrodynamics code REX, and evaluate capabilities and limitations for naval hydrodynamics applications. Models based on correlations and on amplification factor transport were implemented in one- and two- equation RANS turbulence models, including modifications to operate in crossflow. Extensive validation of the implementation is performed for several 2- and 3-dimensional geometries of naval relevance. Standard tests with extensive available experimental data include flat plates in zero pressure gradient, an ellipsoid, and a sickle wing, while naval specific more complex flows add the propeller P4119 and the generic submersible Joubert BB2. Capability to operate with hybrid RANS/LES approaches like the DDES model is studied.