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SEM image of a porous electrode material (left) and corresponding extracted 2D pore-scale domain, W  (middle). The synthetic domain is used as a reference 2D volume where a closure problem, i.e. the spatial distribution of a closure variable c (right), can be numerically solved. Figure from (Arunachalam 2018).

Conceptualization of the connection between development and deployment of physics-based multi-scale models. The missing link between model development and deployment is generally the identification of diagnosis criteria to identify suitable models and modeling scales at which continuum-scale quantities and parameters are well defined. Figure reproduced from (Battiato 2016).