Nonlinear eddy viscosity and algebraic stress models for solving complex turbulent flows

Nonlinear eddy viscosity and algebraic stress models are currently providing an invaluable link between the more common linear eddy viscosity turbulence models and the full differential Reynolds stress forms. With the increased popularity has come an abundance of different formulations. The purpose of this review is to provide a cohesive framework for the variety of models proposed and to highlight the various similarities and differences among the models. Their link with differential Reynolds stress models and their improved predictive capability over linear eddy-viscosity models is also highlighted.