Formation of large-scale structures by turbulence in rotating planets
@article{Constantinou2015FormationOL, title={Formation of large-scale structures by turbulence in rotating planets}, author={Navid C. Constantinou}, journal={arXiv: Atmospheric and Oceanic Physics}, year={2015} }
This thesis presents a newly developed theory for the formation and maintenance of eddy-driven jets in planetary turbulence. The novelty is that jet formation and maintenance is studied as a dynamics of the statistics of the flow rather than a dynamics of individual realizations. This is pursued using Stochastic Structural Stability Theory (S3T) which studies the closed dynamics of the first two cumulants of the full statistical state dynamics of the flow after neglecting or parameterizing…
Figures and Tables from this paper
figure 1 figure 1.1 figure 1.10 figure 1.11 figure 1.12 figure 1.13 figure 1.15 figure 1.16 figure 1.17 figure 1.18 figure 1.19 figure 1.2 figure 1.3 figure 1.4 figure 1.5 figure 1.6 figure 1.8 figure 2 table 2.1 figure 2.1 figure 2.2 figure 3.1 figure 3.10 figure 3.11 figure 3.12 figure 3.13 figure 3.2 figure 3.3 figure 3.4 figure 3.5 figure 3.6 figure 3.7 figure 3.8 figure 3.9 figure 4.1 figure 4.2 figure 4.3 figure 4.4 figure 4.5 figure 4.6 figure 4.7 figure 4.8 figure 5 figure 5.1 figure 5.10 figure 5.11 figure 5.12 figure 5.13 figure 5.14 figure 5.15 figure 5.16 figure 5.17 figure 5.2 figure 5.3 figure 5.4 figure 5.5 figure 5.6 figure 5.7 figure 5.8 figure 5.9 figure 6.1 figure 6.10 figure 6.11 figure 6.12 figure 6.13 figure 6.14 figure 6.2 figure 6.3 figure 6.4 figure 6.5 figure 6.7 figure 6.8 figure 6.9 figure 16
16 Citations
Statistical State Dynamics of Weak Jets in Barotropic Beta-Plane Turbulence
- PhysicsJournal of the Atmospheric Sciences
- 2019
Zonal jets in a barotropic setup emerge out of homogeneous turbulence through a flow-forming instability of the homogeneous turbulent state (zonostrophic instability), which occurs as the…
Kinetic theory and large deviations for the dynamics of geophysical flows
- Physics
- 2015
This thesis deals with the dynamics of geophysical turbulent flows at large scales, more particularly their organization into east-west parallel flows (zonal jets). These structures have the…
A Theory Based on Statistical State Dynamics for the Formation of Jets and Associated Density Layers in Stratified Turbulence
- Physics, Environmental Science
- 2016
Stratified turbulence is characterized by strong anisotropy and a red energy spectrum. Moreover, in many cases the energetic large scales consist of coherent horizontal structures such as vertically…
Statistical State Dynamics of Jet–Wave Coexistence in Barotropic Beta-Plane Turbulence
- Physics, Environmental Science
- 2015
AbstractJets coexist with planetary-scale waves in the turbulence of planetary atmospheres. The coherent component of these structures arises from cooperative interaction between the coherent…
Statistical state dynamics of vertically sheared horizontal flows in two-dimensional stratified turbulence
- PhysicsJournal of Fluid Mechanics
- 2018
Simulations of strongly stratified turbulence often exhibit coherent large-scale structures called vertically sheared horizontal flows (VSHFs). VSHFs emerge in both two-dimensional (2D) and…
Barotropic theory for the velocity profile of Jupiter’s turbulent jets: an example for an exact turbulent closure
- PhysicsJournal of Fluid Mechanics
- 2018
We model the dynamics of Jupiter’s jets by the stochastic barotropic $\unicode[STIX]{x1D6FD}$ -plane model. In this simple framework, by analytic computation of the averaged effect of eddies, we…
Theoretical prediction of Reynolds stresses and velocity profiles for barotropic turbulent jets
- Physics, Environmental Science
- 2016
It is extremely uncommon to be able to predict the velocity profile of a turbulent flow. In two-dimensional flows, atmosphere dynamics, and plasma physics, large-scale coherent jets are created…
Layer Formation in Stably and Unstably Stratified Flows
- Physics, Environmental Science
- 2018
This thesis investigates the dynamics of layered velocity and buoyancy structures in stably and unstably stratified flows. Geophysical examples of layers in stably stratified turbulence include the…
Statistical State Dynamics: A New Perspective on Turbulence in Shear Flow
- PhysicsZonal Jets
- 2019
Traditionally, single realizations of the turbulent state have been the object of study in shear flow turbulence. When a statistical quantity was needed it was obtained from a spatial, temporal or…
Generalised quasilinear approximations of turbulent channel flow. Part 1. Streamwise nonlinear energy transfer
- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2022
Abstract A generalised quasilinear (GQL) approximation (Marston et al., Phys. Rev. Lett., vol. 116, 2016, 104502) is applied to turbulent channel flow at $Re_\tau \simeq 1700$ ($Re_\tau$ is the…
References
SHOWING 1-10 OF 105 REFERENCES
A theory for the emergence of coherent structures in beta-plane turbulence
- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2014
Abstract Planetary turbulent flows are observed to self-organize into large-scale structures such as zonal jets and coherent vortices. One of the simplest models of planetary turbulence is obtained…
Emergence of non-zonal coherent structures
- Physics, Environmental Science
- 2015
Planetary turbulence is observed to self-organize into large-scale structures such as zonal jets and coherent vortices. One of the simplest models that retains the relevant dynamics of turbulent…
S3T stability of the homogeneous state of barotropic beta-plane turbulence
- Physics, Environmental Science
- 2014
Zonal jets and non-zonal large-scale flows are often present in forced-dissipative barotropic turbulence on a beta-plane. The dynamics underlying the formation of both zonal and non-zonal coherent…
Formation of Jets by Baroclinic Turbulence
- Physics, Environmental Science
- 2008
Turbulent fluids are frequently observed to spontaneously self-organize into large spatial-scale jets; geophysical examples of this phenomenon include the Jovian banded winds and the earth’s…
Structural Stability of Turbulent Jets
- Physics, Environmental Science
- 2003
Turbulence in fluids is commonly observed to coexist with relatively large spatial and temporal scale coherent jets. These jets may be steady, vacillate with a definite period, or be irregular. A…
Structure and Spacing of Jets in Barotropic Turbulence
- Physics, Environmental Science
- 2007
Abstract Turbulent flows are often observed to be organized into large-spatial-scale jets such as the familiar zonal jets in the upper levels of the Jovian atmosphere. These relatively steady…
The emergence of zonal jets in forced rotating shallow water turbulence: A laboratory study
- Physics
- 2010
The emergence of a sequence of alternating intense and elongated eastward-westward bands i.e. zonal jets in the atmosphere of the giant planets and in Earth's oceans have been widely investigated.…
Formation of zonal band structure in forced two-dimensional turbulence on a rotating sphere
- Physics, Environmental Science
- 1997
A series of numerical experiments on the forced two-dimensional turbulence on a rotating sphere were done to investigate the formation processes of zonal band structures and their sensitivity to two…
Slow Evolution of Zonal Jets on the Beta Plane
- Physics, Environmental Science
- 1999
The authors study the stability of a barotropic sinusoidal meridional flow on a b plane. Because of bottom drag and lateral viscosity, the system is dissipative and forcing maintains a basic-state…
Emergence of Jets from Turbulence in the Shallow-Water Equations on an Equatorial Beta Plane
- Physics, Environmental Science
- 2009
Coherent jets, such as the Jovian banded winds, are a prominent feature of rotating turbulence. Shallowwater turbulence models capture the essential mechanism of jet formation, which is systematic…