TY  - JOUR
AU  - Chayambuka, Kudakwashe
AU  - Mulder, Grietus
AU  - Danilov, Dmitri
AU  - Notten, Peter H. L.
TI  - A Hybrid backward Euler Control Volume Method To Solve The Concentration-dependent Solid-State Diffusion Problem in Battery Modeling
JO  - Journal of applied mechanics and technical physics
VL  - 8
SN  - 0021-8944
CY  - New York, NY [u.a.]
PB  - Springer
M1  - FZJ-2020-04009
SP  - 1066-1080
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
DO  - DOI:10.4236/jamp.2020.86083
UR  - https://juser.fz-juelich.de/record/885678
ER  -