Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7292
Title: An operator splitting approximation combined with the supg method for transport equations with nonlinear reaction term
Authors: Baysal, Onur
Tanoğlu, Gamze
Baysal, Onur
Tanoğlu, Gamze
Izmir Institute of Technology. Mathematics
Keywords: Operator splitting
Stabilized finite element method
SUPG method
Issue Date: 2012
Publisher: Tech Science Press
Source: Baysal, O. and Tanoğlu, G. (2012). An operator splitting approximation combined with the supg method for transport equations with nonlinear reaction term. Computer Modeling in Engineering and Sciences, 84(1), 27-39.
Abstract: In this work, an operator splitting method is proposed in order to obtain a stable numerical solution for transport equation with non-linear reaction term. We split the transport equation into a reaction part and an advection diffusion part. The former one which becomes a nonlinear ordinary differential equation can be approximated by the simple higher order integrator or solved exactly. The later one is approximated by the Streamline-Upwind Petrov-Galerkin (SUPG) method combined with the generalized Euler time integration (q-method). Numerical results that illustrate the good performance of this method are reported.
URI: https://hdl.handle.net/11147/7292
ISSN: 1526-1492
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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