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We present EvoL, the new release of the Padova N-body code for cosmologicalsimulations of galaxy formation and evolution. In this paper, the basic Tree +SPH code is presented and analysed, together with an overview on the softwarearchitectures. EvoL is a flexible parallel Fortran95 code, specificallydesigned for simulations of cosmological structure formation on cluster,galactic and sub-galactic scales. EvoL is a fully Lagrangian self-adaptivecode, based on the classical Oct-tree and on the Smoothed ParticleHydrodynamics algorithm. It includes special features such as adaptivesoftening lengths with correcting extra-terms, and modern formulations of SPHand artificial viscosity. It is designed to be run in parallel on multiple CPUsto optimize the performance and save computational time. We describe the codein detail, and present the results of a number of standard hydrodynamicaltests.

EvoL: The new Padova T-SPH parallel code for cosmological simulations - I. Basic code: gravity and hydrodynamics