Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow

We consider continuous data assimilation applied to a finite element spatial discretization and backward difference temporal discretization of the barotropic vorticity model of geophysical flow. We prove that with sufficient measurement data and properly chosen nudging parameter (guided by our analy...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2024-04, Vol.160, p.30-45
Main Authors: Akbas, Mine, Diegel, Amanda E., Rebholz, Leo G.
Format: Article
Language:English
Subjects:
Barotropic vorticity equation
Continuous data assimilation
Finite element method
Long time accuracy
Quasi-geostrophic equation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider continuous data assimilation applied to a finite element spatial discretization and backward difference temporal discretization of the barotropic vorticity model of geophysical flow. We prove that with sufficient measurement data and properly chosen nudging parameter (guided by our analysis), the proposed algorithm achieves optimal long-time accuracy for any initial condition. While our analysis requires nudging of both the streamfunction and vorticity, our numerical tests indicate that nudging only the streamfunction can be sufficient.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2024.02.004