×

A model reduction framework for efficient simulation of Li-Ion batteries. (English) Zbl 1327.78021

Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 78, 695-702 (2014).
Summary: In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to large-dimensional, highly nonlinear finite volume discretizations which, due to their complexity, cannot be solved at cell scale on current hardware. Model order reduction strategies are therefore necessary to reduce the computational complexity while retaining the features of the model. The application of such strategies to specialized high performance solvers asks for new software designs allowing flexible control of the solvers by the reduction algorithms. In this contribution we discuss the reduction of microscale battery models with the reduced basis method and report on our new software approach on integrating the model order reduction software pyMOR with third-party solvers. Finally, we present numerical results for the reduction of a 3D microscale battery model with porous electrode geometry.
For the entire collection see [Zbl 1291.65005].

MSC:

78M12 Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory
78A57 Electrochemistry
78M34 Model reduction in optics and electromagnetic theory
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] pyMOR—Model Order Reduction with Python. http://www.pymor.org
[2] Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O., A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework, Computing, 82, 2-3, 103-119 (2008) · Zbl 1151.65089
[3] Drohmann, M., Haasdonk, B., Kaulmann, S., Ohlberger, M.: A software framework for reduced basis methods using Dune-RB and RBmatlab. In: Dedner, A., Flemisch, B., Klöfkorn, R. (eds.) Advances in DUNE, pp. 77-88. Springer, Berlin Heidelberg (2012)
[4] Drohmann, M.; Haasdonk, B.; Ohlberger, M., Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation, SIAM J. Sci. Comput., 34, 2, A937-A969 (2012) · Zbl 1259.65133
[5] Haasdonk, B.; Ohlberger, M., Reduced basis method for finite volume approximations of parametrized linear evolution equations. m2an, Math. Model. Numer. Anal., 42, 2, 277-302 (2008) · Zbl 1388.76177
[6] Iliev, O., Latz, A., Zausch, J., Zhang, S.: On some model reduction approaches for simulations of processes in Li-ion battery. In: Proceedings of Algoritmy 2012, Conference on Scientific Computing, Vysoké Tatry, Podbanské, Slovakia, pp. 161-171. Slovak University of Technology in Bratislava (2012) · Zbl 1278.65135
[7] Latz, A.; Zausch, J., Thermodynamic consistent transport theory of li-ion batteries, J. Power Sources, 196, 6, 3296-3302 (2011)
[8] Less, GB; Seo, JH; Han, S.; Sastry, AM; zausch, J.; latz, A.; schmidt, S.; wieser, C.; kehrwald, D.; fell, S., Micro-scale modeling of li-ion batteries: parameterization and validation, J. Electrochem. Soc., 159, 6, A697 (2012)
[9] Popov, P., Vutov, Y., Margenov, S., Iliev, O.: Finite volume discretization of equations describing nonlinear diffusion in li-ion batteries. In: Dimov, I., Dimova, S., Kolkovska, N. (eds.) Numerical Methods and Applications. Lecture Notes in Computer Science, vol. 6046, pp. 338-346. Springer, Berlin Heidelberg (2011) · Zbl 1317.78010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.