Jänicke, Ralf

Larsson, Fedrik

Runesson, Kenneth

Tu, Vinh

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Numerical model reduction of the electro-chemically coupled iontransportVinh Tu†‡, Kenneth Runesson†, Fredrik Larsson† and Ralf Jänicke‡† Division of Material and Computational MechanicsChalmers University of TechnologyChalmersplatsen 4, 41296 Gothenburg, Swedene-mail: vinh.tu@chalmers.se‡ Institute of Applied MechanicsTechnical University of BraunschweigPockelsstraße 3, 38106 Braunschweig, GermanyABSTRACTThis contribution concerns the multi-scale and multi-physics Finite Element Analysis of the electro-chemically coupled ion transport[1]. In particular, we are interested in predicting the electro-chemicalperformance of the Structural Battery Electrolyte (SBE) by utilizing computational homogenizationand numerical model reduction[2] (NMR).A sub-scale Representative Volume Element (RVE) is generated for the two-scale modeling approach.It represents the random bicontinuous microstructure of an SBE (porous polymer skeleton filled withliquid electrolyte).The governing equations consist of Gauss’ law, mass balance of the pertinent ions and linear con-stitutive relations. Periodic boundary conditions are imposed on the RVE according to first orderhomogenization on the electrical and the chemical potential fields. The fully coupled electro-chemicalproblem is solved to obtain the macroscopic (homogenized) transient response. By solving the RVEproblem for various loading cases, we obtain training data that are used for NMR based on a snapshotProper Orthogonal Decomposition (POD).The end product of the NMR-POD framework is a surrogate model which replaces RVE computations.Since the surrogate model consists of a system of ODEs, it requires less computational effort to solvecompared to the full RVE problem. The final goal is to investigate how the choice of training data andPOD modes affect the simulation accuracy, and also quantify the speed-up by exploiting the surrogatemodel.REFERENCES[1] Tu, V., Larsson, F., Runesson, K. and Jänicke, R. Variationally consistent homogenization ofelectrochemical ion transport in a porous structural battery electrolyte. Eur. J. Mech. A Solids(2023) 98:104901.[2] Jänicke, R., Larsson, F. and Runesson, K. A poro-viscoelastic substitute model of fine-scale poroe-lasticity obtained from homogenization and numerical model reduction. Comput. Mech (2020)65:1063–1083.

Numerical model reduction of the electro-chemically coupled ion transport

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Numerical model reduction of the electro-chemically coupled ion transport

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