3. Mesoscopic simulation

When time and space scales exceed a hundred picoseconds and a hundred nanometers, atomic-scale simulation is impossible. When, moreover, the spatial scale does not exceed a hundred microns, we speak of the mesoscopic scale. Numerical simulations then consider the medium as continuous, but perform a discretization using a mesh that no longer has anything to do with the crystallographic structure, but is still adapted to the problem being simulated.

The mesoscopic scale is the scale of microstructures for materials, dealing with grain boundaries, dislocations, precipitates, etc., described by specific behavior laws and subject to external events likely to act on these microstructures.

In this field, unlike the nanoscopic field, where there is a wide range of commercial and open-source software, the mesoscopic field is still in the early stages...