Model order reduction is a very active research field that has seen tremendous development in recent years, both from a theoretical and application  point of view. A particular promising model reduction approach for parameterized partial differential equations (pPDEs) is the Reduced Basis (RB) Method that relies on the approximation of the solution manifold of pPDEs by low dimensional linear spaces that are spanned from suitably selected particular solutions, called snapshots. 

In this contribution we present a modeling and simulation framework for parametrized Lithium-ion battery cells, which addresses both, pore-scale resolved simulation [1] and homogenized continuum modelling [2]. The modeling framework is particularly well suited to investigate and quantify degradation effects of battery cells. Several numerical experiments are given to demonstrate the scope and efficiency of the modeling framework.

[1] J. Feinauer, S. Hein, S. Rave, S. Schmidt, D. Westhoff, J. Zausch, O. Iliev, A. Latz, M. Ohlberger und V. Schmidt. MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. Journal of Computational Science 31 (2019), 172–184.

[2] M. Landstorfer, M. Ohlberger, S. Rave, M. Tacke. A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells. 2021. arXiv:2110.06011.