Modeling And Simulation Of A Jet Dffusion Flame Of Hydrogen Solved By Applying The Rosenbrock Method

International Journal of Development Research

Volume: 
09
Article ID: 
15347
7 pages
Research Article

Modeling And Simulation Of A Jet Dffusion Flame Of Hydrogen Solved By Applying The Rosenbrock Method

Abstract: 

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.

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