Due to the complexity of these equations, numerical techniques are used to obtain their solution, such as finite volume and finite element methods. As a result, approximate distributions of velocity and pressure, and eventually temperature, over the entire domain of interest are obtained. These solutions are validated with experimental, theoretical and even numerical results.

In GReo numerical simulations are carried out in order to identify the influence of rheological, geometric and flow parameters along a given process of interest. In many situations, the objective is to complement experimental data, increasing the range of values analyzed and expanding the scale of experiments carried out in the laboratory. Another situation of interest is the test of constitutive models to describe the mechanical behavior of some types of non-Newtonian fluids, such as the thixotropy models recently proposed by Prof. P.R. de Souza Mendes. Numerical simulations are performed using commercial programs (Fluent), OpenSource codes and libraries (OpenFOAM, Gmsh, FEniCs) and programs developed by the group (Matlab and Python). The most used methods are those of finite differences, finite volumes and finite elements.

Infrastructure: Various microcomputers; Fluent (Ansys Inc.); Matlab; SolidWorks; among other programs.