Analysis of continuous data assimilation scheme for the Navier-Stokes equations using variational multiscale method
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Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we analyse a continuous data assimilation (CDA) scheme which enables us to combine an observable data with a numerical method to obtain better solutions in which these solutions are also closely similar to the current state of the system. The scheme is applied on a Navier-Stokes system which is discretized with two-step Backward Differentiation Formula (BDF2) in time and finite element in space. In order to improve the accuracy and prevent some non-physical oscillations due to the effect of small viscosity and the dominance of convection, a projection based variational multiscale method (VMS) has also been applied to the system. We present the long-time stability and long-time convergence analyses of the scheme in details and several numerical tests in order to support theoretical findings and demonstrate the promise of the method.
Açıklama
Anahtar Kelimeler
Finite Element Method; Continuous Data Assimilation; Navier-Stokes Equations; Variational Multiscale Method, Benard Convection; Algorithm
Kaynak
Journal of Computational Science
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
66
