An implicit Lagrangian code for the treatment of nonstationary problems in rotating astrophysical bodies.

Details An implicit Lagrangian code for the treatment of nonstationary problems in rotating astrophysical bodies. An implicit Lagrangian code for the treatment of nonstationary problems in rotating astrophysical bodies.

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996a%26as..115..573a&link_type=abstract

Astronomy and Astrophysics Supplement, v.115, p.573-594

Astronomy and Astrophysics

Astrophysics

17

Stellar Dynamics, Hydrodynamics, Methods: Numerical

Scientific paper

An implicit Lagrangian method based on a triangular grid is developed here for calculations of nonstationary astrophysical processes including collapse of rotating clouds in the first stages of star formation and models of supernova explosions in rotating stars. We restrict ourselves to the development of a reliable hydrodynamical numerical scheme with self-gravitation and use only simple equations of state without thermal processes, with entropy changing only in the shocks. The quality of the method is demonstrated on several test problems. The main application of the method is to the collapse of a rapidly rotating gas cloud. This problem has been investigated by many authors with the same physical conditions. We have obtained results for the stages of the collapse up to secondary compression and discuss their reliability in comparison with previous authors. Our results are in qualitative accordance with others obtained by Lagrangian methods, while we extending the calculations farther. We do not confirm the formation of a ring structure obtained by use of Eulerian schemes.

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