Lagrangian acceleration and its Eulerian decompositions in fully developed turbulence

We study the properties of various Eulerian contributions to fluid particle acceleration by using well-resolved direct numerical simulations isotropic turbulence, with grid resolution as high $12288^3$ and Taylor-scale Reynolds number $R_\lambda$ in range between 140 1300. The variance convective acceleration, when normalized Kolmogorov scales, increases linearly $R_\lambda$, consistent simple theoretical arguments, but very strongly differing from phenomenological predictions Kolmogorov's hypothesis well multifractal models. scaling local is also linear leading order, more complex detail. strong cancellation -- faithful random sweeping results Lagrangian increasing only $R_\lambda^{0.25}$, recently shown Buaria \& Sreenivasan [Phys. Rev. Lett. 128, 234502 (2022)]. dominated irrotational pressure gradient contributions, whose follows an $R_\lambda^{0.25}$ scaling; solenoidal viscous are relatively small follow a $R_\lambda^{0.13}$, predictions.