Dimensional transition of energy cascades in stably stratified thin fluid layers

Abstract

Numerical simulations of a thin layer of turbulent flow in stably stratified conditions within the Boussinesq approximation have been performed. The statistics of energy transfer among scales have been investigated for different values of control parameters: thickness of the layer and density stratification. It is shown that in a thin layer with a quasi-two-dimensional phenomenology, stratification provides a new channel for the energy transfer towards small scales and reduces the inverse cascade. The role of vortex stretching and enstrophy flux in the transfer of kinetic energy into potential energy at small scales is discussed.

arXiv comment15 pages, 8 figures

References in corpus (4)

• Dimensional transition in rotating turbulence
• Forced Stratified Turbulence: Successive Transitions with Reynolds Number
• Turbulence comes in bursts in stably stratified flows
• Turbulence damping as a measure of the flow dimensionality

Cited by in corpus (22)

• Cascades and transitions in turbulent flows
• Critical Transitions in Thin Layer Turbulence
• Helically Decomposed Turbulence
• Condensates in rotating turbulent flows
• Dual constant-flux energy cascades to both large scales and small scales
• Waves and vortices in the inverse cascade regime of stratified turbulence with or without rotation
• Scaling laws for mixing and dissipation in unforced rotating stratified turbulence
• Condensates in thin-layer turbulence
• Split energy cascade in turbulent thin fluid layers
• Critical transition in fast-rotating turbulence within highly elongated domains
• Chaos and information in two dimensional turbulence
• Rare transitions to thin-layer turbulent condensates
• Energy fluxes in quasi-equilibrium flows
• Energy cascades in rapidly rotating and stratified turbulence within elongated domains
• Nonuniversal transition to condensate formation in two-dimensional turbulence
• Inertial floaters in stratified turbulence
• Chaotic measure of the transition between two and three dimensional turbulence
• Lagrangian irreversibility and energy exchanges in rotating-stratified turbulent flows
• Effective drag in rotating, poorly conducting plasma turbulence
• Cascades transition in generalised two-dimensional turbulence
• Dynamic Triad Interactions and Evolving Turbulence -- Part 2: Implications for Practical Signals
• Spontaneous suppression of inverse energy cascade in instability-driven 2D turbulence