Single-particle Lagrangian statistics from direct numerical simulations of rotating-stratified turbulence

Abstract

Geophysical fluid flows are predominantly turbulent and often strongly affected by the Earth's rotation, as well as by stable density stratification. Using direct numerical simulations of forced Boussinesq equations, we study the influence of these effects on the motion of fluid particles, focusing on cases where the frequencies associated with rotation and stratification (RaS), $N$ and $f$ respectively, are held at a fixed ratio $N/f=5$. As the intensity of RaS increases, a sharp transition is observed between a regime dominated by eddies to a regime dominated by waves, which can also be seemingly described by simply comparing the time scale $1/N$ and ${\tau }_{\eta }$ (the Kolmogorov time scale). We perform a detailed study of Lagrangian statistics of acceleration, velocity and related quantities in the two regimes. The flow anisotropy induces a clear difference between particle motion in the horizontal and vertical directions. In the regime $N{\tau }_{\eta }<1$, acceleration statistics in both horizontal and vertical directions, exhibit well known characteristics of isotropic turbulence. In contrast for $N{\tau }_{\eta }>1$, they are directly influenced by imposed RaS. The Lagrangian velocity statistics exhibit visible anisotropy for all runs; nevertheless the degree of anisotropy becomes very strong in the regime $N{\tau }_{\eta }>1$. We find that in the regime $N{\tau }_{\eta }<1$, rotation enhances the mean displacement of particles in horizontal planes at short times, but inhibits them at longer times. This inhibition of horizontal displacement becomes stronger for $N{\tau }_{\eta }>1$, with no clear diffusive behavior. Displacements in the vertical direction are always inhibited. The inhibition becomes extremely strong when $N{\tau }_{\eta }>1$, with the particles almost being trapped horizontally.

24 pages, 10 figures

References in corpus (13)

• Collisional Aggregation due to Turbulence
• Extreme velocity gradients in turbulent flows
• Phenomenology of buoyancy-driven turbulence: recent results
• Geophysical turbulence and the duality of the energy flow across scales
• Turbulence comes in bursts in stably stratified flows
• Evidence for Bolgiano-Obukhov scaling in rotating stratified turbulence using high-resolution direct numerical simulations
• On the emergence of helicity in rotating stratified turbulence
• Scaling laws for mixing and dissipation in unforced rotating stratified turbulence
• Interplay of waves and eddies in rotating stratified turbulence and the link with kinetic-potential energy partition
• Lagrangian acceleration of passive tracers in statistically-steady rotating turbulence
• Lagrangian velocity auto-correlations in statistically-steady rotating turbulence
• Single-particle dispersion in stably stratified turbulence
• A highly scalable particle tracking algorithm using partitioned global address space (PGAS) programming for extreme-scale turbulence simulations

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• Lagrangian acceleration in fully developed turbulence and its Eulerian decompositions
• Multi-particle Lagrangian statistics in homogeneous rotating turbulence
• Lagrangian irreversibility and energy exchanges in rotating-stratified turbulent flows
• Evolution of a Stratified Turbulent Cloud under Rotation