Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations

@article{Fambri2017SpacetimeAA,
  title={Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations},
  author={Francesco Fambri and Michael Dumbser and Olindo Zanotti},
  journal={Computer Physics Communications},
  year={2017},
  volume={220},
  pages={297-318}
}
Abstract This paper presents an arbitrary high-order accurate ADER Discontinuous Galerkin (DG) method on space–time adaptive meshes (AMR) for the solution of two important families of non-linear time dependent partial differential equations for compressible dissipative flows : the compressible Navier–Stokes equations and the equations of viscous and resistive magnetohydrodynamics in two and three space-dimensions. The work continues a recent series of papers concerning the development and… CONTINUE READING

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