Mapping approach for 3D distributive mixing simulations

A mapping approach is proposed for the numerical simulation of distributive mixing in threedimensional laminar flows. The technique is based on a spatially discretized description of the locally averaged concentration of fluid components in the mixture (so called “coarse grain density”) and a distribution matrix that describes the changes in component concentration. It is a generalization of a previously developed two-dimensional technique. The proposed method allows to quickly predict the mixing performance and compare the efficiency of a large number of different mixing protocols. To evaluate the technique a prototype flow in a cubic cavity, generated by sliding opposite walls is used.