Data assimilation for moving mesh methods with an application to ice sheet modelling
We develop data assimilation techniques for non-linear 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 a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2017-09-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | https://www.nonlin-processes-geophys.net/24/515/2017/npg-24-515-2017.pdf |
| Summary: | We develop data assimilation techniques for non-linear 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. |
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| ISSN: | 1023-5809 1607-7946 |