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Dacian Daescu (PI)
Portland State University
daescu@pdx.edu

Development of a New Methodology for Adaptive Observations in the Framework of Four-Dimensional Variational Data Assimilation

The issue of adaptive observations is linked to the skillful prediction of high-impact weather which is a scientific and societal challenge. In this work we aim to develop a new methodology for adaptive (targeted) observations strategies in the context of atmospheric four-dimensional variational (4D-Var) data assimilation. This is a three-year collaborative research proposal between Prof. Michael Navon and Prof. Gordon Erlebacher  from Florida State University and Prof. Dacian Daescu from Portland State University to investigate optimal sampling strategies designed in the time-space domain that fully account for the characteristics of the data  assimilation system. We will build on current adjoint based  methods (e.g. singular vectors, sensitivity to analysis and to observations) to develop new targeting strategies that take into account the particular details  of the 4D-Var assimilation scheme and the interaction between time distributed adaptive observations, the routine observational network, and the background estimate of the initial conditions. These novel methods are  expected to outperform objective targeting strategies with a low additional computational effort.  The proposed research will advance the current status of atmospheric targeted observations strategies in various aspects: for the first time the temporal dimension of the 4D-Var procedure will be incorporated in the optimal sampling design by simultaneously accounting for multiple targeting instants in the assimilation window; shortcomings of the conventional methods to adjust to the 4D targeting framework will be highlighted;  to identify optimal observational locations, novel targeting methods will consider not only the spatial distribution of the sensitivity fields, but also their dynamical interaction in the presence of data. This very  much-needed capability of a 4D adaptive sampling methodology was not previously investigated. The methodology proposed will identify multiple time varying areas for deploying in situ observational resources following the flow regime. Adjoint modeling will be used to obtain time-dependent sensitivities of the forecast to the analysis state and data. The impact of the model error on the identification of the targeting region will be further investigated.  Adaptive methods proven to be feasible for operational use will be validated using first a 2-D global shallow-water model (Lin and Rood, QJRMS 1997) then, in collaboration with NASA/GMAO, the 3-D finite volume General Circulation Model within the GEOS-4 assimilation and forecast system. These techniques will be first used in a posteriori analysis of the experimental results, then applications to a priori experimental planning will be also investigated. A successful completion of the methodology developed in this work has  therefore a significant relevance for future NASA field experiments (e.g., CAMEX-5).  The validation stage will include a comparative study with modern tools for targeted observations such as the Ensemble Transform Kalman Filter approach. Novel visualization techniques will be developed to allow faster evaluation  and synthesis of complex results. The proposed research will have a substantial impact on the future development and use of adaptive observations in meteorology and oceanography. The society as a whole will benefit from this research through an improved prediction of high impact weather events.

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