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A finite volume method for a convection- diffusion equation involving a Joule term

Abstract : This work is devoted to a Finite Volume method to approximate the solution of a convection-diffusion equation involving a Joule term. We propose a way 5 to discretize this so-called "Joule effect" term in a consistent way with the non linear diffusion one, in order to ensure some maximum principle properties on the solution. We then investigate the numerical behavior of the scheme on two original benchmarks.
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https://hal.inria.fr/hal-02432936
Contributor : Caterina Calgaro <>
Submitted on : Wednesday, January 8, 2020 - 5:02:13 PM
Last modification on : Wednesday, April 21, 2021 - 11:18:07 AM
Long-term archiving on: : Thursday, April 9, 2020 - 10:04:45 PM

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Caterina Calgaro, Emmanuel Creusé. A finite volume method for a convection- diffusion equation involving a Joule term. International Conference on Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. pp.405-413, ⟨10.1007/978-3-030-43651-3_37⟩. ⟨hal-02432936⟩

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