Cosmological Simulations with Adaptive Smoothed Particles Hydrodynamics

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We summarize the ideas that led to the Adaptive Smoothed Particle Hydrodynamics (ASPH) algorithm, with anisotropic smoothing and shock-tracking. We then identify a serious new problem for SPH simulations with shocks and radiative cooling --- false cooling --- and discuss a possible solution based on the shock-tracking ability of ASPH.
8 pages, 5 figures, to appear in Proceedings of IAU Symposium 208, Astrophysical Supercomputing Using Particles, eds. J. Makino and P. Hut

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