E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh

@article{Springel2010EPS,
  title={E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh},
  author={Volker Springel},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2010},
  volume={401},
  pages={791-851}
}
  • V. Springel
  • Published 27 January 2009
  • Physics
  • Monthly Notices of the Royal Astronomical Society
Hydrodynamic cosmological simulations at present usually employ either the Lagrangian smoothed particle hydrodynamics (SPH) technique or Eulerian hydrodynamics on a Cartesian mesh with (optional) adaptive mesh refinement (AMR). Both of these methods have disadvantages that negatively impact their accuracy in certain situations, for example the suppression of fluid instabilities in the case of SPH, and the lack of Galilean invariance and the presence of overmixing in the case of AMR. We here… 
Moving-mesh hydrodynamics with the AREPO code
  • V. Springel
  • Computer Science
    Proceedings of the International Astronomical Union
  • 2010
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A discontinuous Galerkin (DG) method suitable for large-scale astrophysical simulations on Cartesian meshes as well as arbitrary static and moving Voronoi meshes is presented and is found that the DG procedure on a moving mesh is more sensitive to the choice of slope limiter than is its FV method counterpart.
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Magnetohydrodynamics on an unstructured moving grid
TLDR
A novel implementation of ideal magnetohydrodynamics (MHD) in the moving-mesh code arepo which combines many of the advantages of Eulerian and Lagrangian methods in a single computational technique is discussed.
High-order magnetohydrodynamics for astrophysics with an adaptive mesh refinement discontinuous Galerkin scheme
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This paper describes and test the implementation of a discontinuous Galerkin (DG) scheme for ideal magnetohydrodynamics in the AREPO-DG code, and shows that the resulting scheme is accurate and robust: it can achieve high-order and low numerical diffusion, as well as accurately capture strong MHD shocks.
Multidimensional, compressible viscous flow on a moving Voronoi mesh
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A new approach to compute accurate viscous fluxes for a dynamic Voronoi mesh, and uses this to formulate a finite volume solver of the Navier-Stokes equations, which promises to be competitive with other highly refined Eulerian methods.
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