Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Barotropic vorticity equation, Quasi-geostrophic equation, Continuous data assimilation, Long time accuracy, Finite element method
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
160
