The present paper generalises results by Tadaki [12] and Calude et al. [1] on oscillation-free partially random infinite strings. Moreover, it shows that oscillation-free partial Chaitin randomness can be separated from oscillation-free partial strong Martin-Löf randomness by Π 1 -definable sets of infinite strings. In the papers [11] and [2] several relaxations of randomness were defined. Subs...

Numerical simulations of the interaction between a circular cylinder and its wake during both forced and free, vortex-induced, oscillation have been performed using a spectral element method in which the computational mesh was fixed to the cylinder and the Navier-Stokes equations solved in this accelerating reference frame. Thus far, work has focussed on cross flow, rather than in-line oscillat...