TY  - EJOU
AU  - Baysal, O.  
AU  - Tanoglu, G.  

TI  - An Operator Splitting Approximation Combined With The SUPG Method For Transport Equations With Nonlinear Reaction Term
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 84
IS  - 1
SN  - 1526-1506

AB  - 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 (<i>θ</i>-method). Numerical results that illustrate the good performance of this method are reported.
KW  - Operator splitting
KW  -  Stabilized finite element method
KW  -  Nonlinear Reactive Transport equations
KW  -  SUPG method

DO  - 10.3970/cmes.2012.084.027