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An Operator Splitting Approximation Combined With The SUPG Method For Transport Equations With Nonlinear Reaction Term
IZTECH, Izmir, Turkey.
IZTECH, Izmir, Turkey.
Computer Modeling in Engineering & Sciences 2012, 84(1), 27-40. https://doi.org/10.3970/cmes.2012.084.027
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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 (θ-method). Numerical results that illustrate the good performance of this method are reported.Keywords
Operator splitting, Stabilized finite element method, Nonlinear Reactive Transport equations, SUPG method.
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APA Style
Baysal, O., Tanoglu, G. (2012). An operator splitting approximation combined with the SUPG method for transport equations with nonlinear reaction term. Computer Modeling in Engineering & Sciences, 84(1), 27–40. https://doi.org/10.3970/cmes.2012.084.027
Vancouver Style
Baysal O, Tanoglu G. An operator splitting approximation combined with the SUPG method for transport equations with nonlinear reaction term. Comput Model Eng Sci. 2012;84(1):27–40. https://doi.org/10.3970/cmes.2012.084.027
IEEE Style
O. Baysal and G. Tanoglu, “An Operator Splitting Approximation Combined With The SUPG Method For Transport Equations With Nonlinear Reaction Term,” Comput. Model. Eng. Sci., vol. 84, no. 1, pp. 27–40, 2012. https://doi.org/10.3970/cmes.2012.084.027
Copyright © 2012 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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