DEVELOPMENT OF PARALLEL CODES FOR THE STUDY OF NONLINEAR BEAM DYNAMICS

We consider the nonlinear transverse motion in a circular particle acc elerator. A key parameter for accelerator performance is the so-called dynamic aperture. This quantity is defined as the volume in phase spa ce of the stable initial conditions. The accurate numerical computatio n of such a volume is very CPU-time consuming. In this paper we presen t some original parallel algorithms to speed up the evaluation of the dynamic aperture. A detailed analysis of different algorithms implemen ted is carried out. Furthermore, we studied the dependence of the CPU- time on the phase space parameters as well as the load balancing of th e proposed techniques.