Geostrophic coordinates

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geostrophic coordinates

The coordinate system used in the semigeostrophic equations.

Geostrophic coordinates (X, Y, Z, T) are related to physical space coordinates (x, y, z, t) by
ams2001glos-Ge21
where ug and vg are the eastward and northward geostrophic winds and f is the Coriolis parameter. Through this coordinate transform the semigeostrophic equations arise. The geostrophic approximation is not used as frequently in the semigeostrophic equations as in the quasigeostrophic equations; thus the semigeostrophic equations produce a more accurate representation of certain phenomena, such as fronts and jets.


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