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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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doi:10.5194/npg-2016-45
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
12 Sep 2016
Review status
A revision of this discussion paper for further review has not been submitted.
Data assimilation for moving mesh methods with an application to ice sheet modelling
Bertrand Bonan, Nancy K. Nichols, Michael J. Baines, and Dale Partridge School of Mathematical, Physical and Computational Sciences, University of Reading, Reading, United Kingdom
Abstract. We develop data assimilation techniques for nonlinear dynamical systems modelled by moving mesh methods. Such techniques are valuable for explicitly tracking interfaces and boundaries in evolving systems. The unique aspect of these assimilation techniques is that both the states of the system and the positions of the mesh points are updated simultaneously using physical observations. Covariances between states and mesh points are generated either by a correlation structure function in a variational context or by ensemble methods. The application of the techniques is demonstrated on a one-dimensional model of a grounded shallow ice sheet. It is shown, using observations of surface elevation and/or surface ice velocities, that the techniques predict the evolution of the ice sheet margin and the ice thickness accurately and efficiently. This approach also allows the straightforward assimilation of observations of the position of the ice sheet margin.

Citation: Bonan, B., Nichols, N. K., Baines, M. J., and Partridge, D.: Data assimilation for moving mesh methods with an application to ice sheet modelling, Nonlin. Processes Geophys. Discuss., doi:10.5194/npg-2016-45, in review, 2016.
Bertrand Bonan et al.
Interactive discussionStatus: closed (peer review stopped)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version      Supplement - Supplement
 
RC1: 'Review', Anonymous Referee #1, 12 Oct 2016 Printer-friendly Version Supplement 
 
RC2: 'review of npg-2016-45', Stephen Cornford, 28 Oct 2016 Printer-friendly Version 
AC1: 'Short reply to Stephen Cornford's review', Bertrand Bonan, 04 Nov 2016 Printer-friendly Version 
RC3: 'Reply to reply', Stephen Cornford, 04 Nov 2016 Printer-friendly Version 
 
EC1: 'Editor's comment', Olivier Talagrand, 09 Nov 2016 Printer-friendly Version Supplement 
Bertrand Bonan et al.
Bertrand Bonan et al.

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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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