4 papers
Spatial-temporal structure functions in Burgers turbulence driven by an Ornstein-Uhlenbeck process
Jin-Han Xie
We explore the spatial-temporal structure functions of Burgers turbulence driven by a temporal Ornstein-Uhlenbeck (OU) process, where the characteristic time scale of the OU proces…
Global expressions for high-order structure functions in Burgers turbulence
Jin-Han Xie
Since the famous work by Kolmogorov on incompressible turbulence, the structure-function theory has been a key foundation of modern turbulence study. Due to the simplicity of Burge…
Phase transition of the energy flux in the near-inertial wave--mesoscale eddy coupled turbulence
Jin-Han Xie
Wind forcing injects energy into the mesoscale eddies and near-inertial waves (NIWs) in the ocean, and the NIW is believed to solve the puzzle of mesoscale energy budget by absorbi…
Third-order structure functions for isotropic turbulence with bidirectional energy transfer
Jin-Han Xie, Oliver Buhler
We derive and test a new heuristic theory for third-order structure functions that resolve the forcing scale in the scenario of simultaneous spectral energy transfer to both small…