Articles | Volume 26, issue 20
https://doi.org/10.5194/hess-26-5227-2022
https://doi.org/10.5194/hess-26-5227-2022
Research article
 | 
19 Oct 2022
Research article |  | 19 Oct 2022

A robust upwind mixed hybrid finite element method for transport in variably saturated porous media

Anis Younes, Hussein Hoteit, Rainer Helmig, and Marwan Fahs

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Latest update: 19 Jun 2024
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Short summary
Despite its advantages for the simulation of flow in heterogeneous and fractured porous media, the mixed hybrid finite element method has been rarely used for transport as it suffers from strong unphysical oscillations. We develop here a new upwind scheme for the mixed hybrid finite element that can avoid oscillations. Numerical examples confirm the robustness of this new scheme for the simulation of contaminant transport in both saturated and unsaturated conditions.