Authors: E. Bravo, D. Garcia-Senz, J.Jose, R. Forcada and R.M. Cabezon

We present a summary of current activity of the Barcelona Type Ia supernovae group concerning two and three-dimensional simulations of thermonuclear supernovae. The hydrodynamical calculations were carried out with a SPH code and includes many of the current zoo of models: Chandrasekhar (deflagrations and detonations)and subChandrasekhar-mass explosions models. We also present a preliminary calculation of a deflagration within a rotating massive white dwarf.