Combining spectral and shock-capturing methods: A new numerical approach for 3D relativistic core collapse simulations

@article{Dimmelmeier2004CombiningSA,
  title={Combining spectral and shock-capturing methods: A new numerical approach for 3D relativistic core collapse simulations},
  author={Harald Dimmelmeier and J. Novak and Jos{\'e} A. Font and Jos{\'e} Ma. Ib{\'a}{\~n}ez and E. R. Mueller},
  journal={Physical Review D},
  year={2004},
  volume={71},
  pages={064023-1-064023-30}
}
We present a new three-dimensional general relativistic hydrodynamics code which is intended for simulations of stellar core collapse to a neutron star, as well as pulsations and instabilities of rotating relativistic stars. Contrary to the common approach followed in most existing three-dimensional numerical relativity codes which are based in Cartesian coordinates, in this code both the metric and the hydrodynamics equations are formulated and solved numerically using spherical polar… 
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