Physics
Scientific paper
Sep 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977pthph..58..802k&link_type=abstract
Progress of Theoretical Physics, Vol. 58, No. 3, pp. 802-815
Physics
26
Scientific paper
A two-dimensional hydrodynamical calculation method of self-gravitating rotating system is presented. The equation of fluid motion is treated in a Lagrangian form, while the Poisson equation of the gravitational potential is solved by the Finite-Element-Method. The results show that, in disagreement with the results of previous authors, there is no evidence of the ring formation along the equator, in case the fluid is initially rotating at a rigid body. The discrepancy is, presumably, due to the exact conservation of the angular momentum in the Lagrangian method and the inexact conservation in the Eulerian method. In this connection, it is demonstrated that a ring-like structure is actually formed under the circumstances where the angular momentum is transferred inwardly or a differential rotation of the fluid is assumed in the initial state.
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