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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 24, issue 3
Nonlin. Processes Geophys., 24, 515–534, 2017
https://doi.org/10.5194/npg-24-515-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nonlin. Processes Geophys., 24, 515–534, 2017
https://doi.org/10.5194/npg-24-515-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 05 Sep 2017

Research article | 05 Sep 2017

Data assimilation for moving mesh methods with an application to ice sheet modelling

Bertrand Bonan et al.

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Cited articles

Anderson, J. L. and Anderson, S. L.: A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts, Mon. Weather Rev., 127, 2741–2758, https://doi.org/10.1175/1520-0493(1999)127<2741:AMCIOT>2.0.CO;2, 1999.
Baines, M. J., Hubbard, M. E., and Jimack, P. K.: A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries, Appl. Numer. Math., 54, 450–469, https://doi.org/10.1016/j.apnum.2004.09.013, 2005.
Baines, M. J., Hubbard, M. E., Jimack, P. K., and Mahmood, R.: A moving-mesh finite element method and its application to the numerical solution of phase-change problems, Commun. Comput. Phys., 6, 595–624, 2009.
Baines, M. J., Hubbard, M. E., and Jimack, P. K.: Velocity-based moving mesh methods for nonlinear partial differential equations, Commun. Comput. Phys., 10, 509–576, https://doi.org/10.4208/cicp.201010.040511a, 2011.
Berger, M. J. and Oliger, J.: Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Physics, 53, 484–512, 1984.
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Short summary
We develop data assimilation techniques for numerical models using moving mesh methods. Moving meshes are valuable for explicitly tracking interfaces and boundaries in evolving systems. The application of the techniques is demonstrated on a one-dimensional model of an ice sheet. It is shown, using various types of observations, that the techniques predict the evolution of the edges of the ice sheet and its height accurately and efficiently.
We develop data assimilation techniques for numerical models using moving mesh methods. Moving...
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