IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v361y2019icp398-420.html
   My bibliography  Save this article

An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations

Author

Listed:
  • Bermejo, R.
  • Sastre, P. Galán del

Abstract

We introduce a numerical method to integrate the nonlinear system of equations that model the physical-chemical laws of the Lithium-ion batteries. The mathematical model, formulated in Doyle et al. J. Electrochem. Soc. 140 (1993) 1526–1533, is a system of strongly coupled nonlinear parabolic and elliptic equations. Our numerical method combines a second order implicit–explicit Runge–Kutta–Chebyshev scheme for time discretization of the parabolic equations governing the dynamics of the variables ce and cs, with linear finite element space discretization of the system. The implicit-explicit numerical formulation of the parabolic equations allows us to decouple the strong nonlinear reaction terms, which are treated implicitly, from the linear diffusion terms, treated explicitly. This approach is computationally efficient because (a) it has an extended stability region, and (b) the coupled system of algebraic equations becomes a single variable nonlinear equation per mesh point, which is easily solved by Newton method.

Suggested Citation

  • Bermejo, R. & Sastre, P. Galán del, 2019. "An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 398-420.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:398-420
    DOI: 10.1016/j.amc.2019.05.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319304047
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.05.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gatti, Federico & de Falco, Carlo & Perotto, Simona & Formaggia, Luca, 2024. "A scalable well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping," Applied Mathematics and Computation, Elsevier, vol. 468(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:398-420. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.