2024/08/27 by Peiyang Li, Li, Peiyang, Jin-Han Xie +1 · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.2408.15106
openalex publication_date 2024/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a two-dimensional isotropic rotating system and obtain both theoretically and numerically a K-2 energy spectrum under the rapidly rotating condition (Ro≪ 1), which was initially obtained by Zeman (1994) and Zhou (1995). In rotating turbulence, the K-2 energy spectrum was proposed under the assumption of isotropy, however, the direction selectivity of rotation breaks isotropy, making this K-2 spectrum not easily observable. To fill the gap between theoretical assumptions and realizability, we study the turbulence of inertial waves in an artificial two-dimensional isotropic rotating turbulence system. In the limit of a small Rossby number, we asymptotically derive a nonlinear amplitude equation for inertial waves, which gives the K-2 spectrum using a strong turbulence argument. This scaling is justified by numerical simulations of both the amplitude equation and the original system.