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arXiv · 2307.10911

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

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.

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Stella Krell, Julien Moatti. 2023-07-20. Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV. https://doi.org/10.1007/978-3-031-40864-9_27

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