@article {Ardeljan:January 2004:0571-7256:37, author = "Ardeljan N.V.", author = "Bisnovatyi-Kogan G.S.", author = "Kosmachevskii K.V.", author = "Moiseenko S.G.", title = "Two-Dimensional Simulation of the Dynamics of the Collapse of a Rotating Core with Formation of a Neutron Star on an Adaptive Triangular Grid in Lagrangian Coordinates", journal = "Astrophysics", volume = "47", year = "January 2004", abstract = "Results are presented from a two-dimensional numerical simulation of the collapse of a rotating core with formation of a neutron star that has strong differential rotation in its outer regions. A specially developed numerical method is used which is based on a fully conservative implicit operator difference scheme for gravitational gas dynamics problems in lagrangian coordinates on a variable-structure triangular grid. The recoil shock wave generated by the collapse causes ejection of a small amount of material. This cannot explain the explosion of type II supernovae. The strong differential rotation in the presence of even a weak initial magnetic field obtained in these calculations must lead to a rise in the magnetic pressure, formation of an MHD shock wave, and conversion of rotational energy into the energy of radial expansion (magnetorotational supernova explosion).", pages = "37-51(15)", url = "http://www.ingentaconnect.com/content/klu/asys/2004/00000047/00000001/00485420" doi = "doi:10.1023/B:ASYS.0000017235.31261.a0" }