Divergence Equation
Divergence Equation :
An equation for the rate of change of horizontal divergence on a parcel (in analogy to the vorticity equation). For frictionless flow this equation is: A(VH.v) = -{Vh'Vf + ZJ(u, v)-dt; v^.A-pu+fC- v2<f>; dp where VhV is the horizontal divergence, J(u,v) is the Jacobian, a> is the rate of change of pressure, P is the Rossby parameter, f is the vertical vorticity, and <p is the geopotential. All horizontal differentiations are carried out in a constant-pressure surface. The divergence equation is derived by taking the divergence of the vector equation of motion. When the two terms in the divergence are ne¬glected, this equation becomes the balance equation. N.B. Refer to source to verify equation(s)
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