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In many industrial applications, the quality of mixing between different materials is fundamental to guarantee the desired properties of products. However, properly modelling and understanding polymer mixing presents noticeable difficulties, because of the variety and complexity of the phenomena involved. This is also the case with the Cavity Transfer Mixer (CTM), an add-on to be mounted downstream of existing extruders, in order to improve distributive mixing. The present work proposes a fully three-dimensional model of the CTM: a finite element solver provides the transient velocity field, which is used in the mapping method implementation in order to compute the concentration field evolution and quantify mixing. Several simulations are run assessing the impact on mixing of geometrical and functioning parameters. In general, the number of cavities per row should be limited and the cavity size rather big in order to guarantee good mixing quality.Topical Heading: Soft Matter: Synthesis, Processing and Products.

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1-28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.

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