A Multi-Scale Computational Homogenization Formulation for Li-ion Battery Cells

In a recent contribution the Computational Homogenization technique was tailored to model the multi-physics processes that take place in Li-ion batteries. An improved formulation is presented here. Novelties incorporated are: i) electroneutrality - which is assumed (yet not imposed as for the balance equations); ii) Maxwells equations - considered in a quasi-static sense in a rigorous way; steady motion of charges is used for the mere estimation of the magnetizing field along the electrolyte/active particle interface; iii) time dependent scale transitions - formulated as required by the length/time scales involved in Li-ion batteries processes; iv) scale separation in time - a concurrent time modeling between the macro and micro scales is carried out. Preliminary numerical results of this multiscale approach are shown.