Research Article
Formulations for Estimating Spatial Variations of Analysis Error Variance to Improve Multiscale and Multistep Variational Data Assimilation
Figure 10
(a) Benchmark analysis error variance plotted by red contours of every 2 m2s−2 and estimated analysis error variance in (16) plotted by blue contours. (b) Deviation of from plotted by colored contours of every 0.2 m2s−2. The black + signs show the locations of (= MxMy = 12 × 6) uniformly distributed coarse-resolution observations with periodic extension along and . The coarse-resolution observation resolution is / = = 10 km, and the observation error variance is m2s−2. The background error covariance has the double-Gaussian form with , m2s−2, and km. The analysis domain length (or width) is km (or km), and the number of coarse-resolution observations is M = MxMy = 12 × 6.
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