Approximation of the time-dependent induction equation with advection using Whitney elements

@article{Nore2016ApproximationOT,
  title={Approximation of the time-dependent induction equation with advection using Whitney elements},
  author={C. Nore and H. Zaidi and F. Bouillault and A. Bossavit and J. Guermond},
  journal={Compel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering},
  year={2016},
  volume={35},
  pages={326-338}
}
  • C. Nore, H. Zaidi, +2 authors J. Guermond
  • Published 2016
  • Mathematics
  • Compel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering
  • Purpose – The purpose of this paper is to present a new formulation for taking into account the convective term due to an imposed velocity field in the induction equation in a code based on Whitney elements called DOLMEN. Different Whitney forms are used to approximate the dependent variables. The authors study the kinematic dynamo action in a von Karman configuration and obtain results in good agreement with those provided by another well validated code called SFEMaNS. DOLMEN is developed to… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 26 REFERENCES
    Experimental demonstration of a homogeneous two-scale dynamo
    • 295
    Influence of high-permeability discs in an axisymmetric model of the Cadarache dynamo experiment
    • 29
    • PDF
    Galerkin analysis of kinematic dynamos in the von Kármán geometry
    • 38
    • Highly Influential
    • PDF
    Generation of a magnetic field by dynamo action in a turbulent flow of liquid sodium.
    • 269
    • PDF
    An interior penalty Galerkin method for the MHD equations in heterogeneous domains
    • 60
    • PDF
    A rationale for 'edge-elements' in 3-D fields computations
    • 316
    Effects of conductivity jumps in the envelope of a kinematic dynamo flow
    • 18
    • PDF