Bubble-based stabilized finite element methods for time-dependent convection-diffusion-reaction problems
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we propose a numerical algorithm for time-dependent convection-diffusion-reaction problems and compare its performance with the well-known numerical methods in the literature. Time discretization is performed by using fractional-step theta-scheme, while an economical form of the residual-free bubble method is used for the space discretization. We compare the proposed algorithm with the classical stabilized finite element methods over several benchmark problems for a wide range of problem configurations. The effect of the order in the sequence of discretization (in time and in space) to the quality of the approximation is also investigated. Numerical experiments show the improvement through the proposed algorithm over the classical methods in either cases. Copyright (C) 2016 John Wiley & Sons, Ltd.
Açıklama
Sendur, Ali/0000-0001-8628-5497
Anahtar Kelimeler
Unsteady convection-diffusion-reaction problems, Stabilized finite element methods, Horizontal/vertical method of lines
Kaynak
International Journal For Numerical Methods In Fluids
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
82
Sayı
8
