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Core Information
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| Title: |
Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation |
| Abstract: |
The Kuramoto-Sivashinsky equation plays an important role as a low-dimensional prototype for complicated
fluid dynamics systems having been studied due to its chaotic pattern forming behavior. Up to now,
efforts to carry out data assimilation with this 1-D model were restricted to variational adjoint methods
domain and only Chorin and Krause (Proc. Natl. Acad. Sci. 2004; 101(42):15013-15017) tested it using
a sequential Bayesian filter approach. In this work we compare three sequential data assimilation methods
namely the Kalman filter approach, the sequential Monte Carlo particle filter approach and the maximum
likelihood ensemble filter methods. This comparison is to the best of our knowledge novel. We compare
in detail their relative performance for both linear and nonlinear observation operators. The results of
these sequential data assimilation tests are discussed and conclusions are drawn as to the suitability of
these data assimilation methods in the presence of linear and nonlinear observation operators.
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| Keywords: |
sequential data assimilation, ensemble Kalman filter,
particle filter, Kuramoto-Sivashinsky
equation |
Author Information
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Detailed Scientific Article Information
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Subjects Information
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1. Mathematics
2. Fluid Dynamics
3. Meteorology
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