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The fragmentation of expanding shells – I. Limitations of the thin-shell approximation
Authors:James E Dale  Richard Wünsch  Anthony Whitworth  Jan Palou&#;
Institution:Astronomical Institute, Academy of Sciences of the Czech Republic, Bocni II 1401/2a, 141 31 Praha 4, Czech Republic;School of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff CF24 3AA
Abstract:We investigate the gravitational fragmentation of expanding shells in the context of the linear thin-shell analysis. We make use of two very different numerical schemes; the flash adaptive mesh refinement code and a version of the Benz smoothed particle hydrodynamics code. We find that the agreement between the two codes is excellent. We use our numerical results to test the thin-shell approximation and we find that the external pressure applied to the shell has a strong effect on the fragmentation process. In cases where shells are not pressure-confined, the shells thicken as they expand and hydrodynamic flows perpendicular to the plane of the shell suppress fragmentation at short wavelengths. If the shells are pressure-confined internally and externally, so that their thickness remains approximately constant during their expansion, the agreement with the analytical solution is better.
Keywords:stars: formation  H ii regions
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