4.2.3 Horizontal momentum equations

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4.2.3 Horizontal momentum equations

Equations (4.1) and (4.2) are the horizontal momentum equations. The velocity field

$\displaystyle {\bf u} = (u,v,w) = ({\bf u}_{h},w)$

(4.13)

is written in terms of the zonal, meridional and vertical components, respectively. The vertical velocity is diagnosed through the continuity equation (4.3). Horizontal velocities are driven by the following terms:

4.2.3.1 Coriolis force
4.2.3.2 Horizontal pressure gradient
4.2.3.3 Advection
4.2.3.4 Nonlinear advective ``metric'' term
4.2.3.5 Vertical friction
4.2.3.6 Horizontal friction

RC Pacanowski and SM Griffies, GFDL, Jan 2000