Variational Principles in Geophysical Fluid Dynamics and Approximated Equations

2017 ◽  
pp. 135-182
Author(s):  
Gualtiero Badin ◽  
Fulvio Crisciani
Keyword(s):  
Fluid Dynamics ◽  
Variational Principles ◽  
Geophysical Fluid Dynamics

Interdisciplinary Research Programs in Geophysical Fluid Dynamics

2006 ◽  
Author(s):  
John A. Whitehead ◽  
Neil J. Balmforth ◽  
Philip J. Morrison
Keyword(s):  
Fluid Dynamics ◽  
Interdisciplinary Research ◽  
Geophysical Fluid Dynamics ◽  
Research Programs

Interdisciplinary Research Programs in Geophysical Fluid Dynamics

2008 ◽  
Author(s):  
John A. Whitehead ◽  
Neil J. Balmforth ◽  
Philip J. Morrison
Keyword(s):  
Fluid Dynamics ◽  
Interdisciplinary Research ◽  
Geophysical Fluid Dynamics ◽  
Research Programs

Potential enstrophy in stratified turbulence

2013 ◽  
Vol 722 ◽  
Author(s):  
Michael L. Waite
Keyword(s):  
Fluid Dynamics ◽  
Numerical Simulations ◽  
Reynolds Numbers ◽  
Direct Numerical Simulations ◽  
Quadratic Approximation ◽  
Stratified Turbulence ◽  
Geophysical Fluid Dynamics ◽  
Quadratic Part ◽  
Flow Variables ◽  
Potential Enstrophy

AbstractDirect numerical simulations are used to investigate potential enstrophy in stratified turbulence with small Froude numbers, large Reynolds numbers, and buoyancy Reynolds numbers ($R{e}_{b} $) both smaller and larger than unity. We investigate the conditions under which the potential enstrophy, which is a quartic quantity in the flow variables, can be approximated by its quadratic terms, as is often done in geophysical fluid dynamics. We show that at large scales, the quadratic fraction of the potential enstrophy is determined by $R{e}_{b} $. The quadratic part dominates for small $R{e}_{b} $, i.e. in the viscously coupled regime of stratified turbulence, but not when $R{e}_{b} \gtrsim 1$. The breakdown of the quadratic approximation is consistent with the development of Kelvin–Helmholtz instabilities, which are frequently observed to grow on the layerwise structure of stratified turbulence when $R{e}_{b} $ is not too small.

Multistate flow devices for geophysical fluid dynamics and climate

2001 ◽  
Vol 69 (5) ◽  
pp. 546-553 ◽  
Author(s):  
J. A. Whitehead ◽  
W. Gregory Lawson ◽  
John Salzig
Keyword(s):  
Fluid Dynamics ◽  
Geophysical Fluid Dynamics ◽  
Flow Devices

Geophysical Fluid Dynamics by Joseph Pedlosky

1988 ◽  
Vol 83 (3) ◽  
pp. 1207-1207 ◽  
Author(s):  
Joseph Pedlosky ◽  
J. S. Robertson
Keyword(s):  
Fluid Dynamics ◽  
Geophysical Fluid Dynamics
Sign in / Sign up

Export Citation Format

Share Document