Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry

TL;DR

This paper introduces a localized reduced basis method for 3D lithium-ion battery models, combining finite volume discretization with empirical operator interpolation to efficiently approximate nonlinearities.

Contribution

The paper presents a novel localized model order reduction technique tailored for spatially resolved battery models, integrating non-conforming local approximation spaces and empirical interpolation.

Findings

Feasibility demonstrated through numerical examples

Effective approximation of nonlinearities in battery models

Potential for computational efficiency improvements

Abstract

In this contribution we present first results towards localized model order reduction for spatially resolved, three-dimensional lithium-ionbattery models. We introduce a localized reduced basis scheme based on non-conforming local approximation spaces stemming from a finite volume discretizationof the analytical model and localized empirical operator interpolation for the approximation of the model's nonlinearities. Numerical examples are provided indicating the feasibility of our approach.