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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 |
Keywords: | Operator splitting Stabilized finite element method SUPG method |
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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