A model of three-dimensional transfer in non-isotropic homogeneous turbulence

The present investigation is concerned with a model of predicting homogeneous anisotropic turbulence, taking into account uniform mean velocity gradients. Equations of second order correlations are employed. It is shown that a good qualitative and even quantitative prediction of homogeneous turbulent flows can be derived from the analytical theories of turbulence by modeling the nonlinear transfer term. Two nonisotropic cases are presented, including the uniform shear flow and the pure plane strain. The use of the fully three-dimensional expression for the transfer involves a great computational effort. In order to reduce the computational work, it is proposed to use a modeled form for interpolation.