Application of the Ensemble Kalman Filter to a One-Dimensional Linear Advection Model

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Data assimilation is used in numerical weather prediction to improve weather forecasts by incorporating observation data into the model forecast. The Ensemble Kalman Filter (EnKF) is a method of data assimilation which updates an ensemble of states to provide a state estimate and associated error at each step. The atmospheric model that is used in this research is a one-dimensional linear advection model. This model describes the motion of a scalar field as it is advected by a known speed field. The result shows that by selecting appropriate initial ensemble, model noise and measurement perturbations, it is possible to achieve a significant improvement in the EnKF results. The accuracy of the EnKF increases when the number of ensemble member grows. That is, the larger ensemble sizes perform better than those of smaller sizes.

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287-290

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October 2015

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] I. Kasanicky, K. Eben, Ensemble Kalman Filter, Proceeding of Contributed Paper Part I, (2011) pp.25-30.

Google Scholar

[2] J.R. Holton, An Introduction to Dynamic Meteorology, forth ed., Elsevier Inc, USA, (2004).

Google Scholar

[3] G. Evensen, Sequential data assimilation with a nonlinear quasi-geostrophic model using monte carlo methods to forecast error statistics, Geophysical Research 99(C5), (1994) p.10, 143-10, 162.

DOI: 10.1029/94jc00572

Google Scholar

[4] G. Evensen, Data assimilation: the ensemble Kalman filter, Springer, Berlin, (2007).

Google Scholar

[5] S. Gillijns, O. Barrero Mendoza, J. Chandrasekar, B. L. R. De Moor, D. S. Bernstein, and A. Ridley, What Is the Ensemble Kalman Filter and How Well Does it Work?, American Control Conference Minneapolis, Minnesota, USA, (2006) pp.14-16.

DOI: 10.1109/acc.2006.1657419

Google Scholar

[6] G. E. Awashie, Pricing Financial Options Using Ensemble Kalman Filter, Master of Philosophy, (2012) p.47.

Google Scholar

[7] G. Evensen, The Ensemble Kalman Filter for Combined State and Parameter Estimation, IEEE control systems magazine, (2009) pp.83-104.

DOI: 10.1109/mcs.2009.932223

Google Scholar