Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces: I. General theory and application to fluid interfaces

@article{Sahu2020ArbitraryLF,
  title={Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces: I. General theory and application to fluid interfaces},
  author={Amaresh Kumar Sahu and Yannick Azhri Din Omar and Roger A. Sauer and Kranthi K. Mandadapu},
  journal={J. Comput. Phys.},
  year={2020},
  volume={407},
  pages={109253}
}
  • Amaresh Kumar Sahu, Yannick Azhri Din Omar, +1 author Kranthi K. Mandadapu
  • Published in J. Comput. Phys. 2020
  • Mathematics, Physics, Computer Science
  • Abstract An arbitrary Lagrangian–Eulerian (ALE) finite element method for arbitrarily curved and deforming two-dimensional materials and interfaces is presented here. An ALE theory is developed by endowing the surface with a mesh whose in-plane velocity need not depend on the in-plane material velocity, and can be specified arbitrarily. A finite element implementation of the theory is formulated and applied to curved and deforming surfaces with in-plane incompressible flows. Numerical inf–sup… CONTINUE READING
    2
    Twitter Mentions

    Citations

    Publications citing this paper.
    SHOWING 1-3 OF 3 CITATIONS

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 129 REFERENCES

    The Theory of Shells and Plates

    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    The Finite Element Method: Its Basis and Fundamentals (Butterworth-Heinemann

    • O. Zienkiewicz, R. L. Taylor, J. Z. Zhu
    • 2013
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Mechanics and Thermodynamics of Biomembranes (CRC Press

    • E. A. Evans, R. Skalak
    • Boca Raton, Fl.,
    • 1980
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL