Lagrangian Acceleration Statistics in Curvilinear Coordinates

In this talk we present results from the analysis of the Lagrangian acceleration statistics in curvilinear coordinates. The investigation is based on numerical simulations of isotropic, homogeneous turbulence in three dimensions for a certain range of Reynolds numbers. We focus on the effect of curvilinear coordinates on statistical observables like the cross correlation between acceleration components and the long time memory of the acceleration. Beside this we compare our observations to the corresponding observables in simulations of two-dimensional turbulence in the inverse cascade regime.