The Effect of Gravity Waves in 4DDA
Lisa Neef, Ted Shepherd (University of Toronto) Saroja Polavarapu (Meterological Service of Canada)
In recent years, much research has focused on the control of spurious =20 inertia-gravity waves within 4D data asssimilation. Most of this =20 work has focused on avoiding the generation of spurious gravity waves =20 in cases where slow vortical motion is of primary interest, and =20 gravity waves are considered noise (e.g. Neef et al. 2006). However, =20 there are many applications where the true state contains =20 nonnegligible gravity waves, such as the mesosphere. The advent of =20 4D data assimilation, and the growing inventory of available =20 observations, makes capturing gravity waves within an assimilation a =20 possibility -- with many caveats.
Our work examines the problems and issues inherent in such problems, =20 using low order models which admit motion of multiple timescales, but =20 are yet simple enough to make interpretation of experiments =20 straightforward. This talk will in particular show examples of how =20 and when standard 4DDA algorithms succeed (or fail) at capturing =20 states where the ``primary'' motion is contaminated by comparatively =20 fast waves. We will also offer an interpretation of recently-=20 proposed modifications to the standard algorithms (such as ensemble =20 inflation or square root filtering), in terms of the gravity wave =20 problem described above.