Barotropic vorticity equation

Barotropic vorticity equation

link author: John von Neumann (via WP:JWB)

← Previous revision Revision as of 17:50, 26 April 2026
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where ''β'' = {{sfrac|∂''f''|∂''y''}} is the variation of the ''Coriolis parameter'' with distance ''y'' in the north–south direction and ''v'' is the component of velocity in this direction.
where ''β'' = {{sfrac|∂''f''|∂''y''}} is the variation of the ''Coriolis parameter'' with distance ''y'' in the north–south direction and ''v'' is the component of velocity in this direction.


In 1950, Charney, Fjørtoft, and von Neumann integrated this equation (with an added [[diffusion]] term on the [[Left-hand side and right-hand side of an equation|right-hand side]]) on a [[computer]] for the first time, using an observed field of 500 [[pascal (unit)|hPa]] [[geopotential height]] for the first timestep.
In 1950, Charney, Fjørtoft, and [[John von Neumann|von Neumann]] integrated this equation (with an added [[diffusion]] term on the [[Left-hand side and right-hand side of an equation|right-hand side]]) on a [[computer]] for the first time, using an observed field of 500 [[pascal (unit)|hPa]] [[geopotential height]] for the first timestep.
{{Citation
{{Citation
| last1 = Charney | first1 = J. G. | last2 = Fjørtoft | first2 = R.
| last1 = Charney | first1 = J. G. | last2 = Fjørtoft | first2 = R.