I don't know if turbulence occur even with high reynolds numbers. other problem is the transition laminar turbulent, the model should consider this phenomenon.
K-epsilon model shows good performance in your case.. And another are Detached eddy simulation and Large eddy simulation.. Basically you have to choose your model based on researches done previously and the experiences that have been faced.
"CFD model" does not have a specific meaning. Different models are available to model different things (for example turbolence as someone mentioned above). What exactly do you mean with "CFD model"?
CFD is an approach to solve the PDEs. CFD is categorized to three main method, namely Finite difference method (FDM), Finite Element method (FEM) and finite Volume method (FVM). Ansys Fluent is used FVM to solve governing equations.
In following, If your problem is turbulent and you want to use turbulence model, the k-epsilon model (Standard, RNG and Realizable) could be used.
Fluent is finite volume based technique software. According to my knowledge first apply Reynolds number formula, which will decide for you flow condition i.e laminar, transient or turbulent. In case of turbulent flow and using fluent module of ANSYS K-epsilon will be a better choice.