Space Charge and Electron Cloud Simulations

Tracking of high intensity effects for few turns of a circular accelerator is at reach of present computational capabilities. The situation is very different when the prediction of beam behavior is extended to hundred of thousands of turns, where special approaches for the control of computer artifact are necessary sometimes to the expense of a complete physical modeling. The identification of the key physical ingredients helps to the development of computer algorithms capable of treating the long term tracking. Here we present the latest status of long-term tracking simulations of high intensity bunches for SIS100, and also discuss a more realistic modeling of the incoherent effect of an electron cloud for the LHC.