EXPLICIT ALGEBRAIC SCALAR FLUX APPROXIMATION

A new method is proposed to obtain explicit solutions of the algebraic approximation to second-moment closure models for the turbulent flux of passive scalars. Equivalently, the method gives exact equilibrium s olutions to scalar flux transport models. An intermediate step relates scalar flux transport to the Lagrangian dispersion tensor in homogene ous turbulence. Solvability and stability properties of closure models are assessed by the solution. The exact solution serves as a closure model for the asymmetric eddy diffusion tenser.