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@ARTICLE{Chayambuka:885678,
      author       = {Chayambuka, Kudakwashe and Mulder, Grietus and Danilov,
                      Dmitri and Notten, Peter H. L.},
      title        = {{A} {H}ybrid backward {E}uler {C}ontrol {V}olume {M}ethod
                      {T}o {S}olve {T}he {C}oncentration-dependent {S}olid-{S}tate
                      {D}iffusion {P}roblem in {B}attery {M}odeling},
      journal      = {Journal of applied mechanics and technical physics},
      volume       = {8},
      issn         = {0021-8944},
      address      = {New York, NY [u.a.]},
      publisher    = {Springer},
      reportid     = {FZJ-2020-04009},
      pages        = {1066-1080},
      year         = {2020},
      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.},
      cin          = {IEK-9},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-9-20110218},
      pnm          = {131 - Electrochemical Storage (POF3-131)},
      pid          = {G:(DE-HGF)POF3-131},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.4236/jamp.2020.86083},
      url          = {https://juser.fz-juelich.de/record/885678},
}