Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5988
Title: Bubble-based stabilized finite element methods for time-dependent convection–diffusion–reaction problems
Authors: Şendur, Ali
Neslitürk, Ali İhsan
Keywords: Finite element method
Diffusion in liquids
Incompressible flow
Unsteady convection diffusions
Horizontal/vertical method of lines
Issue Date: 20-Nov-2016
Publisher: John Wiley and Sons Inc.
Source: Şendur, A., and Neslitürk, A. İ. (2016). Bubble-based stabilized finite element methods for time-dependent convection–diffusion–reaction problems. International Journal for Numerical Methods in Fluids, 82(8), 512-538. doi:10.1002/fld.4229
Abstract: 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 θ-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.
URI: http://doi.org/10.1002/fld.4229
http://hdl.handle.net/11147/5988
ISSN: 0271-2091
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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