A NEW REYNOLDS STRESS ALGEBRAIC EQUATION

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