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lect_18

# lect_18 - Vorticity Equation in Isobaric Coordinates To...

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1 Vorticity Equation in Isobaric Coordinates To obtain a version of the vorticity equation in pressure coordinates, we follow the same procedure as we used to obtain the z-coordinate version: x [y-component momentum equation] y [x-component momentum equation] = + + + = + + + + x fv p u y u v x u u t u y y fu p v y v v x v u t v x Φ ω Φ ω Using the p-coordinate form of the momentum equations, this is: ( ) ( ) + + = + p v x p u y y v x u f f dt d p p p ω ω ζ ζ vorticity equation in isobaric coordinates which yields: Scaling The Vorticity Equation ( ) +

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