A divergence free Finite Volume discretization of Lagrangian ideal MHD over 3D unstructured grids

  • Boscheri, Walter (Univ. Ferrara, Italy)
  • Loubère, Raphaël (Institut de mathématiques de Bordeaux, France)
  • Maire, Pierre-Henri (CEA Cesta, France)

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This work presents an original Finite Volume (FV) discretization of the ideal Magneto Hydro Dynamics (MHD) equations written under updated Lagrangian representation. It is characterized by two noticeable properties: • The fullfilement of the divergence free constraint for the magnetic field at the discrete level; • The consistency with the second law of thermodynamics regarding the semi-discrete entropy.