Iterative schemes for surfactant transport in porous media

@article{Illiano2019IterativeSF,
  title={Iterative schemes for surfactant transport in porous media},
  author={Davide Illiano and Iuliu Sorin Pop and Florin Adrian Radu},
  journal={Computational Geosciences},
  year={2019},
  volume={25},
  pages={805 - 822}
}
In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For… 

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