Table of Content

Open Access iconOpen Access

ARTICLE

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.

Keywords


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.



cc 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.
  • 1100

    View

  • 806

    Download

  • 0

    Like

Share Link