Discussion
Consider the following statements about the omega equation.
1. It is elliptic.
2. Its classical form has two forcing terms.
3. It is a prognostic equation.
Which of the statements given above is or are correct?
Answer: A
The equation is elliptic and has two classical forcing terms, but it is diagnostic rather than prognostic: it gives the vertical motion consistent with the instantaneous fields and contains no time derivative. The time derivatives were deliberately eliminated during the derivation by combining the vorticity and thermodynamic equations, which is exactly what makes the result so useful for interpreting a single analysis.
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