A Cut Finite Element Method for two-phase flows with insoluble surfactants

@article{Frachon2022ACF,
  title={A Cut Finite Element Method for two-phase flows with insoluble surfactants},
  author={Thomas Frachon and Sara Zahedi},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.06057}
}
We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that do not conform to the evolving interface separating the immiscible fluids; 3) accurate approximation of quantities with weak or strong discontinuities across evolving geometries such as the velocity field and the pressure. The new discretization of the… 

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