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We present a fully parallel chemo-dynamical Tree/SPH code, GEAR, which allowsto perform high resolution simulations with detailed chemical diagnostics.Starting from the public version of Gadget-2, we included the complex treatmentof the baryon physics: gas cooling, star formation law, chemical evolution andsupernovae feedback. We qualified the performances of GEAR with the case ofdSph galaxies. GEAR conserves the total energy budget of the systems to betterthan 5% over 14Gyr and proved excellent convergence of the results withnumerical resolution. We showed that models of dSphs in a static Euclideanspace, where the expansion of the universe is neglected are valid. In addition,we tackled some of the existing open questions in the field, like the stellarmass fraction of dSphs and its link with the predicted dark matter halo massfunction, the effect of the supernova feedback, the spatial distribution of thestellar populations, and the origin of the diversity in star formationhistories and chemical abundance patterns. Strong supernovae driven winds seemincompatible with the observed metallicities and luminosities. Despite the factthat newly formed stars are preferentially found in the galaxy central parts,turbulent motions in the gas can quickly erase any metallicity gradient. Thevariety in dSph properties result from a range of total masses as well as froma dispersion in central densities. The latter is also seen in the haloesemerging from a LCDM cosmogony.

The Dynamical and Chemical Evolution of Dwarf Spheroidal Galaxies with GEAR