A NEW REYNOLDS STRESS ALGEBRAIC EQUATION

A general turbulent constitutive relation [1] is directly applied to p ropose a new Reynolds stress algebraic equation model. In the developm ent of this model, the constraints based on rapid distortion theory an d realizability (i.e. the positivity of the normal Reynolds stresses a nd the Schwarz' inequality between turbulent velocity correlations) ar e imposed. Model coefficients are calibrated using well-studied basic flows such as homogenous shear how and the surface flow in the inertia l sublayer. The performance of this model is then tested in complex tu rbulent hows including the separated flow over a backward-facing step and the flow in a confined jet. The calculation results are encouragin g and point to the success of the present model in modeling turbulent hows with complex geometries.