Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling-Reference-Cited by-同舟云学术

Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling

Published:2024 Issue:2 Volume:6 Page:363-393
ISSN:2640-3501
Container-title:Mathematics in Engineering
language:
Short-container-title:MINE

Author:

Frittelli Massimo¹,Sgura Ivonne¹,Bozzini Benedetto²

Affiliation:

1. Department of Mathematics and Physics "E. De Giorgi", University of Salento, Lecce 73100, Italy

2. Department of Energy, Politecnico di Milano, Milano 20156, Italy

Abstract

<abstract><p>In this paper we introduce a bulk-surface reaction-diffusion (BS-RD) model in three space dimensions (3D) that extends the so-called DIB morphochemical model to account for the electrolyte contribution in the application, in order to study structure formation during discharge-charge processes in batteries. Here we propose to approximate the model by the bulk-surface virtual element method (BS-VEM) on a tailor-made mesh that proves to be competitive with fast bespoke methods for PDEs on Cartesian grids. We present a selection of numerical simulations that accurately match the classical morphologies found in experiments. Finally, we compare the Turing patterns obtained by the coupled 3D BS-RD model with those obtained with the original 2D version.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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