FINITE ELEMENT ANALYSIS OF LINEARLY EXTRAPOLATED BLENDED BACKWARD DIFFERENCE FORMULA (BLEBDF) FOR THE NATURAL CONVECTION FLOWS
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hüseyin ÇAKALLI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study the stability and convergence of fully discrete finite element method with grad-div stabilization for the incompressible non-isothermal fluid flows. The proposed scheme uses finite element discretization in space and linearly extrapolated blended Backward Differentiation Formula (BLEBDF) in time. We prove the unconditional stability over finite time interval and optimally convergence of the scheme. We also present numerical experiments to verify our theoretical convergence rates and show the reliability of the scheme.
Açıklama
Anahtar Kelimeler
Finite Element Method|Grad-div stabilization|Natural Convection
Kaynak
Maltepe Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
6
Sayı
2
