Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

Stella Krell; Julien Moatti

doi:10.1007/978-3-031-40864-9_27

Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

Numerical Analysis 2023-10-20 v1 Numerical Analysis

Authors: Stella Krell , Julien Moatti

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Abstract

We made a comparison between a Discrete Duality Finite Volume (DDFV) scheme and a Hybrid Finite Volume (HFV) scheme for a drift-diffusion model with mixed boundary conditions on general meshes. Both schemes are based on a nonlinear discretisation of the convection-diffusion fluxes, which ensures the positivity of the discrete densities. We investigate the behaviours of the schemes on various numerical test cases.

Cite

@article{arxiv.2307.10911,
  title  = {Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV},
  author = {Stella Krell and Julien Moatti},
  journal= {arXiv preprint arXiv:2307.10911},
  year   = {2023}
}

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