Journal Article

FZJ-2020-04009

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png A Hybrid backward Euler Control Volume Method To Solve The Concentration-dependent Solid-State Diffusion Problem in Battery Modeling

Chayambuka, K.FZJ* ; Mulder, G. ; Danilov, D.FZJ* ; Notten, P. H. L. (Corresponding author)FZJ*

2020
Springer New York, NY [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/26841  doi:10.4236/jamp.2020.86083  doi:10.4236/jam.2020.86083

Abstract: Several efficient analytical methods have been developed to solve the solid-state diffusion problem, for constant diffusion coefficient problems. However, these methods cannot be applied for concentration-dependent diffusion coefficient problems and numerical methods are used instead. Herein, grid-based numerical methods derived from the control volume discretization are presented to resolve the characteristic nonlinear system of partial differential equations. A novel hybrid backward Euler control volume (HBECV) method is presented which requires only one iteration to reach an implicit solution. The HBECV results are shown to be stable and accurate for a moderate number of grid points. The computational speed and accuracy of the HBECV, justify its use in battery simulations, in which the solid-state diffusion coefficient is a strong function of the concentration.

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Contributing Institute(s):

1. Grundlagen der Elektrochemie (IEK-9)

Research Program(s):

1. 131 - Electrochemical Storage (POF3-131) (POF3-131)

Appears in the scientific report 2020

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Database coverage:
; ; Clarivate Analytics Master Journal List ; DEAL Springer ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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