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Why Not Look Only at Model Output?. Comparison of Various Forms of the Q-G Omega Equation. Classic (Two terms: differential vorticity advection, Laplacian of the thermal wind) The result is the difference between two large terms resulting in large truncation error.
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Comparison of Various Forms of the Q-G Omega Equation • Classic (Two terms: differential vorticity advection, Laplacian of the thermal wind) • The result is the difference between two large terms resulting in large truncation error. • Cannot estimate reliably from vorticity advection at a single level or from warm advection alone. • Using at a single level, best done at 500 hPa for strong events. Really need a 3D solution for an accurate answer. Trenberth/Sutcliffe formulation (advection of absolute vorticity by the thermal wind) is more accurate since no cancellation problem.
Q-Vector approach is the best in many ways • No cancellation problems • Includes deformation term • Provides insights into the lower branch of the ageostrophic circulation forced by the geostrophic forcing • Provides insights into frontogenesis • Allows rapid and intuitive graphical interpretation
QG Diagnostics Online • Classic approach: http://www.mmm.ucar.edu/people/tomjr/files/realtime/qg_diag/Omeg700Tot-NorAmer/res.html • Sutcliffe-Trenberth:http://www.mmm.ucar.edu/people/tomjr/files/realtime/qg_diag/OmegSutTren700Tot-NorAmer/res.html • Q-vector http://www.mmm.ucar.edu/people/tomjr/files/realtime/qg_diag/OmegQvec700Tot-NorAmer/res.html
Vertical Motion • Can be as the complex sum of: • QG motions (relatively large scale and smooth) • Orographic forcing • Convective forcing • Gravity waves and other small-scale stuff • QG diagnostics helpful for seeing the big picture
But usually there is much more going on, so be VERY careful in application of simple jet streak model • Garp example…