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

@article{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},
  journal={International Journal for Numerical Methods in Fluids},
  year={2016},
  volume={81},
  pages={657 - 671}
}
  • S. AlandFeng Chen
  • Published 20 August 2016
  • Mathematics, Engineering
  • International Journal for Numerical Methods in Fluids
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… 

Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach

We consider the numerical approximations for a phase field model consisting of incompressible Navier--Stokes equations with a generalized Navier boundary condition, and the Cahn--Hilliard equation ...

Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines

The sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for binary fluids with moving contact lines are studied by asymptotic analysis and numerical

References

SHOWING 1-10 OF 44 REFERENCES

A gradient stable scheme for a phase field model for the moving contact line problem

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

A physically consistent phase-field model that admits an energy law is proposed, and several energy stable, efficient, and accurate time discretization schemes for the coupled nonlinear phase- field model are constructed and analyzed.

Efficient energy stable schemes with spectral discretization in space for anisotropic

We develop in this paper efficient and robust numerical methods for solv- ing anisotropic Cahn-Hilliard systems. We construct energy stable schemes for the time discretization of the highly nonlinear

Two-phase flow in complex geometries: A diffuse domain approach.

A new method is presented for simulating two-phase flows in complex geometries, taking into account contact lines separating immiscible incompressible components, and is straightforward to implement using standard software packages.

Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D

A finite element discretization of the variable density Cahn-Hilliard-Navier-Stokes system is presented and a new solver is examined numerically and is shown to be efficient with respect to mesh refinement and robust to the problem parameters.