STUDIES FOR TYPE-I, TYPE-II AND TYPE-III INTERMITTENCIES

ELASKAR, SERGIO; DEL RIO, EZEQUIEL; DONOSO, JOSÉ

Buenos Aires

Congreso; CILAMCE 2010 (XXXI Iberian-Latin-American Congress on Computational Methods in Engineering) and MECOM 2010 (IX Argentine Congress on Computational Mechanics and II South American Congress on Computational Mechanics).; 2010

Asociación Argentina de Mecánica Computacional y UBA

There are several topics in fluid mechanics where the intermittency phenomenon appears,such as in Lorenz systems, Rayleigh-Bénard convection, DNLS equation and turbulence. The correct evaluation of the intermittency phenomenon contributes to a better prediction and a proper description of these topics. We summarized here a new method we have recently proposed to evaluate the reinjection probability function for type-II and type-III intermittencies. The new reinjection probability density (RPD) has been observed in the broad class of maps, as we have checked by both numerical simulations and analytical studies. For type-II and type-III intermittencies, we presented a new one-parameter family of functions describing the reinjection probability, being the usual type-II uniform reinjection probability a particular case of our RPD. For the type-III case, a new two-parameter family of RPD has been found from which one can derive the lower bound of reinjection (LBR). By extending the preceding analysis of type-II andtype-III intermittencies, we give here a new RPD for the type-I case, from which we also derive the densities of the laminar phase lengths and the new characteristic relations.