Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes

作者：

Highlights：

• A positive Scharfetter-Gummel finite volume method for parabolic equation is proposed.

• The scheme handles quite general meshes and fully diffusive tensors.

• The positivity of the solution and the coercivity property are fulfilled.

• The proposed scheme ensures the second order accuracy in space.

摘要

•A positive Scharfetter-Gummel finite volume method for parabolic equation is proposed.•The scheme handles quite general meshes and fully diffusive tensors.•The positivity of the solution and the coercivity property are fulfilled.•The proposed scheme ensures the second order accuracy in space.

论文关键词：Degenerate parabolic equations,Finite volume method,Scharfetter-Gummel scheme,Generic meshes,Positivity,Coercivity,Second order accuracy

论文评审过程：Received 17 June 2021, Revised 23 February 2022, Accepted 4 March 2022, Available online 30 March 2022, Version of Record 11 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127071