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An Operator Splitting Approximation Combined With The SUPG Method For Transport Equations With Nonlinear Reaction Term

O. Baysal1, G. Tanoglu2
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

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 (θ-method). Numerical results that illustrate the good performance of this method are reported.

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Cite This Article

Baysal, O., Tanoglu, G. (2012). An Operator Splitting Approximation Combined With The SUPG Method For Transport Equations With Nonlinear Reaction Term. CMES-Computer Modeling in Engineering & Sciences, 84(1), 27–40.



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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