An efficient and energy stable scheme for a phase‐field model for the moving contact line problem

@inproceedings{Aland2016AnEA,
  title={An efficient and energy stable scheme for a phase‐field model for the moving contact line problem},
  author={Sebastian Aland and Feng Chen},
  year={2016}
}
In this paper, we propose for the first time a linearly coupled, energy stable scheme for the Navier–Stokes– Cahn–Hilliard system with generalized Navier boundary condition. We rigorously prove the unconditional energy stability for the proposed time discretization as well as for a fully discrete finite element scheme. Using numerical tests, we verify the accuracy, confirm the decreasing property of the discrete energy, and demonstrate the effectiveness of our method through numerical… CONTINUE READING

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