TY - JOUR
T1 - Chaotic properties of a turbulent isotropic fluid
AU - Berera, A.
AU - Ho, R. D. J. G.
PY - 2018/1/12
Y1 - 2018/1/12
N2 - By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent λ and the Reynolds number Re is measured using direct numerical simulations, performed on up to 20483 collocation points. The Lyapunov exponent is found to solely depend on the Reynolds number with λ∝Re0.53 and that after a transient period the divergence of trajectories grows at the same rate at all scales. Finally a linear divergence is seen that is dependent on the energy forcing rate. Links are made with other chaotic systems.
AB - By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent λ and the Reynolds number Re is measured using direct numerical simulations, performed on up to 20483 collocation points. The Lyapunov exponent is found to solely depend on the Reynolds number with λ∝Re0.53 and that after a transient period the divergence of trajectories grows at the same rate at all scales. Finally a linear divergence is seen that is dependent on the energy forcing rate. Links are made with other chaotic systems.
KW - Physics - Fluid Dynamics
KW - Nonlinear Sciences - Chaotic Dynamics
UR - http://adsabs.harvard.edu/abs/2017arXiv170401042B
U2 - 10.1103/PhysRevLett.120.024101
DO - 10.1103/PhysRevLett.120.024101
M3 - Article
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
M1 - 024101
ER -