Analysis of continuous data assimilation scheme for the Navier–Stokes equations using variational multiscale method
Yazarlar (3)
Öğr. Gör. Dr. Gülnur HAÇAT YILMAZOĞLU Gazi Üniversitesi, Türkiye
Öğr. Gör. Mine Akbas Düzce Üniversitesi, Türkiye
Aytekin Çıbık Gazi Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Computational Science (Q2) | ||
| Dergi ISSN | 1877-7503 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2023 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-01-2023 |
| Cilt / Sayı / Sayfa | 66 / 1 / 101914–0 | DOI | 10.1016/j.jocs.2022.101914 |
| Makale Linki | http://dx.doi.org/10.1016/j.jocs.2022.101914 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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. |
| Anahtar Kelimeler |
| Continuous data assimilation | Finite element method | Navier–Stokes equations | Variational multiscale method |
Science Direct
Analysis of continuous data assimilation scheme for the Navier–Stokes equations using variational multiscale method
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 1 |