A segregated explicit algebraic structure-based model for wall-bounded turbulent flows

The Algebraic Structure-based Model (ASBM) is an engineering model of turbulence that incorporates information about the morphology of turbulent structures, and thus characterizes additional turbulence information beyond what is provided solely by the Reynolds stresses. In this work, a new formulation of the ASBM is developed that exhibits three defining characteristics. The first is a near-wall correction segregated from the homogeneous component of the model, which allows for a new paradigm for model development and comparison. The second characteristic is a set of fully-explicit equations that replace the original implicit formulation and make evident the highly nonlinear nature of the model. Finally, the last defining characteristic is based on the coupling of the ASBM with turbulent transport equations that provide the required turbulent scales. Using arguments of consistency, stability, and accuracy we arrive at a model that uses transport equations for k and ϵ. The resulting model is simpler to implement, more robust, and amenable to further development. The analysis of the new ASBM formulation is carried out by computing fully-developed channel, pipe and squared duct flows.