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 and t...
Published in: | Nonlinear Processes in Geophysics |
---|---|
Main Authors: | , , , |
Format: | Text |
Language: | English |
Published: |
2018
|
Subjects: | |
Online Access: | https://doi.org/10.5194/npg-24-515-2017 https://npg.copernicus.org/articles/24/515/2017/ |
id |
ftcopernicus:oai:publications.copernicus.org:npg54361 |
---|---|
record_format |
openpolar |
spelling |
ftcopernicus:oai:publications.copernicus.org:npg54361 2023-05-15T16:39:47+02:00 Data assimilation for moving mesh methods with an application to ice sheet modelling Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale 2018-09-15 application/pdf https://doi.org/10.5194/npg-24-515-2017 https://npg.copernicus.org/articles/24/515/2017/ eng eng doi:10.5194/npg-24-515-2017 https://npg.copernicus.org/articles/24/515/2017/ eISSN: 1607-7946 Text 2018 ftcopernicus https://doi.org/10.5194/npg-24-515-2017 2020-07-20T16:23:37Z 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. Text Ice Sheet Copernicus Publications: E-Journals Nonlinear Processes in Geophysics 24 3 515 534 |
institution |
Open Polar |
collection |
Copernicus Publications: E-Journals |
op_collection_id |
ftcopernicus |
language |
English |
description |
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. |
format |
Text |
author |
Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale |
spellingShingle |
Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale Data assimilation for moving mesh methods with an application to ice sheet modelling |
author_facet |
Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale |
author_sort |
Bonan, Bertrand |
title |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_short |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_full |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_fullStr |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_full_unstemmed |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_sort |
data assimilation for moving mesh methods with an application to ice sheet modelling |
publishDate |
2018 |
url |
https://doi.org/10.5194/npg-24-515-2017 https://npg.copernicus.org/articles/24/515/2017/ |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
eISSN: 1607-7946 |
op_relation |
doi:10.5194/npg-24-515-2017 https://npg.copernicus.org/articles/24/515/2017/ |
op_doi |
https://doi.org/10.5194/npg-24-515-2017 |
container_title |
Nonlinear Processes in Geophysics |
container_volume |
24 |
container_issue |
3 |
container_start_page |
515 |
op_container_end_page |
534 |
_version_ |
1766030113905836032 |