We investigate the modeling and simulation of ionic transport and charge conservation in lithium-ion batteries (LIBs) at the microscale. It is a multiphysics problem that involves a wide range of time scales. The associated computational challenges motivate the investigation of numerical techniques that can decouple the time integration of the governing equations in the liquid electrolyte and the solid phase (active materials and current collectors). First, it is shown that semi-discretization in space of the non-dimensionalized governing equations leads to a system of index-1 semi-explicit differential algebraic equations (DAEs). Then, a new generation of strategies for multi-domain integration is presented, enabling high-order adaptive coupling of both domains in time, with efficient and potentially different domain integrators. They reach a high level of flexibility for real applications, beyond the limitations of multirate methods. A simple 1D LIB half-cell code is implemented as a demonstrator of the new strategy for the simulation of different modes of cell operation. The integration of the decoupled subsystems is performed with high-order accurate implicit nonlinear solvers. The accuracy of the space discretization is assessed by comparing the numerical results to the analytical solutions. Then, temporal convergence studies demonstrate the accuracy of the new multi-domain coupling approach. Finally, the accuracy and computational efficiency of the adaptive coupling strategy are discussed in the light of the conditioning of the decoupled subproblems compared to the one of the fully-coupled problem. This new approach will constitute a key ingredient for the high-fidelity 3D LIB simulations based on actual electrode microstructures.
Keywords: Lithium-ion batteries, High-order time integration methods, Adaptive multi-domain integration scheme
Ali Asad 1; Romain de Loubens 2; Laurent François 3; Marc Massot 4
@article{SMAI-JCM_2025__11__369_0,
author = {Ali Asad and Romain de Loubens and Laurent Fran\c{c}ois and Marc Massot},
title = {High-order adaptive multi-domain time integration scheme for microscale lithium-ion batteries simulations},
journal = {The SMAI Journal of computational mathematics},
pages = {369--404},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {11},
year = {2025},
doi = {10.5802/smai-jcm.128},
language = {en},
url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.128/}
}
TY - JOUR AU - Ali Asad AU - Romain de Loubens AU - Laurent François AU - Marc Massot TI - High-order adaptive multi-domain time integration scheme for microscale lithium-ion batteries simulations JO - The SMAI Journal of computational mathematics PY - 2025 SP - 369 EP - 404 VL - 11 PB - Société de Mathématiques Appliquées et Industrielles UR - https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.128/ DO - 10.5802/smai-jcm.128 LA - en ID - SMAI-JCM_2025__11__369_0 ER -
%0 Journal Article %A Ali Asad %A Romain de Loubens %A Laurent François %A Marc Massot %T High-order adaptive multi-domain time integration scheme for microscale lithium-ion batteries simulations %J The SMAI Journal of computational mathematics %D 2025 %P 369-404 %V 11 %I Société de Mathématiques Appliquées et Industrielles %U https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.128/ %R 10.5802/smai-jcm.128 %G en %F SMAI-JCM_2025__11__369_0
Ali Asad; Romain de Loubens; Laurent François; Marc Massot. High-order adaptive multi-domain time integration scheme for microscale lithium-ion batteries simulations. The SMAI Journal of computational mathematics, Volume 11 (2025), pp. 369-404. doi : 10.5802/smai-jcm.128. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.128/
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