VORTICITY AND DIVERGENCE EQUATIONS

Ross Bannister, Data Assimilation Research Centre, University of Reading

February 2003

The horizontal momentum equations

Differentiate each equation with respect to x and y

For the vorticity equation, take (4)-(5)

Equation (7) becomes,

For the divergence equation, take (3)+(6)

Note the following terms that can be rewritten in (10) and (13)

For use in (10), take (14)-(15)

For use in (13), take (16)+(17). This can be written as

The vorticity and divergence equations