Conference Papers Year : 2020

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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Dates and versions

hal-02432936 , version 1 (08-01-2020)

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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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