Data assimilation for moving mesh methods with an application to ice sheet modelling
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 th...
Published in: | Nonlinear Processes in Geophysics |
---|---|
Main Authors: | , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
European Geosciences Union
2017
|
Subjects: | |
Online Access: | https://centaur.reading.ac.uk/66767/ https://centaur.reading.ac.uk/66767/8/npg-24-515-2017.pdf https://centaur.reading.ac.uk/66767/1/Bonan_et_al_NPGD_2016.pdf https://centaur.reading.ac.uk/66767/9/npg-2016-45_DApaper_Nichols_July17_v7.pdf http://www.nonlin-processes-geophys-discuss.net/npg-2016-45/ |
id |
ftunivreading:oai:centaur.reading.ac.uk:66767 |
---|---|
record_format |
openpolar |
spelling |
ftunivreading:oai:centaur.reading.ac.uk:66767 2024-06-23T07:53:45+00:00 Data assimilation for moving mesh methods with an application to ice sheet modelling Bonan, Bertrand Nichols, Nancy K. Baines, Mike J. Partridge, Dale 2017 text https://centaur.reading.ac.uk/66767/ https://centaur.reading.ac.uk/66767/8/npg-24-515-2017.pdf https://centaur.reading.ac.uk/66767/1/Bonan_et_al_NPGD_2016.pdf https://centaur.reading.ac.uk/66767/9/npg-2016-45_DApaper_Nichols_July17_v7.pdf http://www.nonlin-processes-geophys-discuss.net/npg-2016-45/ en eng European Geosciences Union https://centaur.reading.ac.uk/66767/8/npg-24-515-2017.pdf https://centaur.reading.ac.uk/66767/1/Bonan_et_al_NPGD_2016.pdf https://centaur.reading.ac.uk/66767/9/npg-2016-45_DApaper_Nichols_July17_v7.pdf Bonan, B. <https://centaur.reading.ac.uk/view/creators/90005634.html>, Nichols, N. K. <https://centaur.reading.ac.uk/view/creators/90000836.html> orcid:0000-0003-1133-5220 , Baines, M. J. <https://centaur.reading.ac.uk/view/creators/90002868.html> and Partridge, D. (2017) Data assimilation for moving mesh methods with an application to ice sheet modelling. Nonlinear Processes in Geophysics, 24 (3). pp. 515-534. ISSN 1023-5809 doi: https://doi.org/10.5194/npg-24-515-2017 <https://doi.org/10.5194/npg-24-515-2017> cc_by Article NonPeerReviewed 2017 ftunivreading https://doi.org/10.5194/npg-24-515-2017 2024-06-11T15:05:53Z 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. Article in Journal/Newspaper Ice Sheet CentAUR: Central Archive at the University of Reading Nonlinear Processes in Geophysics 24 3 515 534 |
institution |
Open Polar |
collection |
CentAUR: Central Archive at the University of Reading |
op_collection_id |
ftunivreading |
language |
English |
description |
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. |
format |
Article in Journal/Newspaper |
author |
Bonan, Bertrand Nichols, Nancy K. Baines, Mike J. Partridge, Dale |
spellingShingle |
Bonan, Bertrand Nichols, Nancy K. Baines, Mike J. Partridge, Dale Data assimilation for moving mesh methods with an application to ice sheet modelling |
author_facet |
Bonan, Bertrand Nichols, Nancy K. Baines, Mike 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 |
publisher |
European Geosciences Union |
publishDate |
2017 |
url |
https://centaur.reading.ac.uk/66767/ https://centaur.reading.ac.uk/66767/8/npg-24-515-2017.pdf https://centaur.reading.ac.uk/66767/1/Bonan_et_al_NPGD_2016.pdf https://centaur.reading.ac.uk/66767/9/npg-2016-45_DApaper_Nichols_July17_v7.pdf http://www.nonlin-processes-geophys-discuss.net/npg-2016-45/ |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://centaur.reading.ac.uk/66767/8/npg-24-515-2017.pdf https://centaur.reading.ac.uk/66767/1/Bonan_et_al_NPGD_2016.pdf https://centaur.reading.ac.uk/66767/9/npg-2016-45_DApaper_Nichols_July17_v7.pdf Bonan, B. <https://centaur.reading.ac.uk/view/creators/90005634.html>, Nichols, N. K. <https://centaur.reading.ac.uk/view/creators/90000836.html> orcid:0000-0003-1133-5220 , Baines, M. J. <https://centaur.reading.ac.uk/view/creators/90002868.html> and Partridge, D. (2017) Data assimilation for moving mesh methods with an application to ice sheet modelling. Nonlinear Processes in Geophysics, 24 (3). pp. 515-534. ISSN 1023-5809 doi: https://doi.org/10.5194/npg-24-515-2017 <https://doi.org/10.5194/npg-24-515-2017> |
op_rights |
cc_by |
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_ |
1802645555346669568 |