Modeling And Simulation Of A Jet Dffusion Flame Of Hydrogen Solved By Applying The Rosenbrock Method
International Journal of Development Research
Modeling And Simulation Of A Jet Dffusion Flame Of Hydrogen Solved By Applying The Rosenbrock Method
Received 24th December, 2018; Received in revised form 28th January, 2019; Accepted 26th February, 2019; Published online 31st March, 2019
Copyright © 2019, De Quadros et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Problems involving chemical reactions have an important characteristic called stiffness, indicating that the solutions of the involved ODE systems vary in different orders of magnitude. So, it is needed to choose suitable numerical methods for obtaining numerical solutions that are stable and convergent at a low computational cost. The most used methods for dealing with this type of problem are the implicit methods, since they have a region of unlimited stability in the complex plane that allows large variations in step size. In this work we employ an L-stable method: the fourth-order Rosenbrock method of four stages. The reduced mechanism for the combustion of hydrogen is simulated and the results have good agreement with data found in the literature.
