Star formation with 3-D adaptive mesh refinement: the collapse and fragmentation of molecular clouds.

Statistics – Methodology

Scientific paper

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Star Formation: Hydrodynamics, Star Formation: Numerical Simulations, Molecular Clouds: Collapse, Molecular Clouds: Fragmentation

Scientific paper

The author describes a powerful methodology for numerical solution of 3D self-gravitational hydrodynamics problems with unprecedented resolution. This code utilizes the technique of local adaptive mesh refinement (AMR), employing multiple grids at multiple levels of resolution. The application of this technique to simulate the collapse and fragmentation of a molecular cloud, a key step in star formation is discussed. The simulation involves many orders of magnitude of variation in length scale as fragments form. The author describes the methodology and present illustrative applications for both isothermal and nonisothermal cloud collapse. He describes the numerical Jeans condition, a new criterion for stability of self-gravitational gas dynamic problems. It was found that the uniformly rotating, spherical clouds treated first collapse to disks in the equatorial plane and then, in the presence of applied perturbations, form filamentary singularities that do not fragment while isothermal. As the collapse enters the non-isothermal phase, the author shows the evolutionary sequence that leads to the formation of a binary system consisting of protostellar cores surrounded by distinct protostellar disks. The scale of the disks, of order 100 AU, is consistent with observations of gaseous disks surrounding single T Tauri stars and debris disks surrounding systems such as β Pictoris.

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