BAROTROPIC VORTICITY EQUATION

Domain	Definition
Aerospace	The vorticity equation in the absence of horizontal divergence and vertical motion, so that the absolute vorticity of a parcel is conserved: where is the relative vorticity and f is the coriolis parameter.This equation may also be interpreted as governing vertically averaged flow in which divergence is present but wind direction is constant with height. See equivalent barotropic model. (references)
Source: compiled by the editor from various references; see credits.

Specialty Definition: Barotropic vorticity equation

A simplified form of the vorticity equation for an inviscid, divergence-free flow, the barotropic vorticity equation can simply be stated as

where is the material derivative and

is absolute vorticity, with being relative vorticity, defined as the vertical component of the curl of the fluid velocity and f is the Coriolis parameter

where is the angular frequency of the planet's rotation (=0.7272*10^-4 s^-1 for the earth) and is latitude.

In terms of relative vorticity, the equation can be rewritten as

where is the variation of the Coriolis parameter with distance in the north-south direction and is the component of velocity in this direction.

In 1950, Charney, Fjorloft, and von Neumann integrated this equation (with an added diffusion term on the RHS) on a computer for the first time, using an observed field of 500 mb geopotential for the first timestep. This was the one of the first successful instances of numerical weather forecasting.

External links:

http://www.met.rdg.ac.uk/~ross/BarVor.html

Alternative Orthography: BAROTROPIC VORTICITY EQUATION

Hexadecimal (or equivalents, 770AD-1900s) (references)

42 41 52 4F 54 52 4F 50 49 43 56 4F 52 54 49 43 49 54 59 45 51 55 41 54 49 4F 4E

Leonardo da Vinci (1452-1519; backwards) (references)

Binary Code (1918-1938, probably earlier) (references)

01000010 01000001 01010010 01001111 01010100 01010010 01001111 01010000 01001001 01000011 00100000 01010110 01001111 01010010 01010100 01001001 01000011 01001001 01010100 01011001 00100000 01000101 01010001 01010101 01000001 01010100 01001001 01001111 01001110

HTML Code (1990) (references)

&#66 &#65 &#82 &#79 &#84 &#82 &#79 &#80 &#73 &#67 &#32 &#86 &#79 &#82 &#84 &#73 &#67 &#73 &#84 &#89 &#32 &#69 &#81 &#85 &#65 &#84 &#73 &#79 &#78

ISO 10646 (1991-1993) (references)

0042 0041 0052 004F 0054 0052 004F 0050 0049 0043 0056 004F 0052 0054 0049 0043 0049 0054 0059 0045 0051 0055 0041 0054 0049 004F 004E

Encryption (beginner's substitution cypher): (references)

BAROTROPIC VORTICITY EQUATION

Specialty Definition: BAROTROPIC VORTICITY EQUATION

Aerospace