vorticity equation


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vorticity equation

[vȯr′tis·əd·ē i‚kwā·zhən]
(fluid mechanics)
An equation of fluid mechanics describing horizontal circulation in the motion of particles around a vertical axis: (d / dt) (S + f) = - (S + f) divh c, where (S + f) is the absolute vorticity (S is the relative vorticity and f is the Coriolis parameter) and divh c is the horizontal divergence of the fluid velocity.
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Chen (1998) and Jiang (2000) derived the quasi-geostrophic potential vorticity equation with large-scale topography, friction, and heating under the barotropic model, and the large-scale effects of Qinghai-Tibet Plateau on atmosphere were discussed.
after calculation, the dimensionless vorticity equation is derived
The unsteady terrain is more suitable to describe the motion of the fluid state of the earth because of the change of global climate and environment, so the modified models are more rational potential vorticity equations.
Interestingly Navier-Stokes equation which implies vorticity equation can also be rewritten in terms of Yukawa equation [3];
Another basis can be developed by considering the momentum, continuity, and vorticity equations.