Work

Energy spectrum of two-dimensional isotropic rapidly rotating turbulence

Year: 2025

Type: article

Abstract: In rotating turbulence, the energy spectrum with -2 exponent was initially proposed under the assumption of isotropy (Zeman 1994; Zhou 1995). However, rotation inevitably induces anisotropy. To fill the gap between theoretical assumptions and realizability, we study the turbulence of inertial waves in an idealized two-dimensional isotropic rotating turbulence system by introducing an artificial horizontal rotation. In the limit of a small Rossby number, we asymptotically derive a nonlinear amplitude equation for inertial waves which gives the energy spectrum with -2 exponent using a strong turbulence argument. This scaling is justified by numerical simulations.

Source: Physical Review Fluids

DOI: 10.1103/physrevfluids.10.054608

Authors: Pei-Yang Li, Jin-Han Xie

Institutions: Peking University, State Key Laboratory of Turbulence and Complex Systems

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Strong, National Natural Science Foundation of China

Awards: G2536499253, G2785586307, G6271584532, G7269757508