Application of Petrov-galerkin method in stabilization solution of advection-diffusionreaction unidimensional problems
Keywords:Petrov-Galerkin, advection, diffusion, perturbation functions, unstable solutions
This paper examines the Streamline Upwind Petrov Galerkin method as a stabilizing technique for the numerical solution of differential equations of advection-diffusion-reaction; it analizes the method taking into account the non self-adjoint nature of the convective diferential operator and the necessary transformations for the solution stabilization through the elimination of non self-adjoint effect induced by the convective term. Presents six different numerical examples, which include problems of variable coefficients, high convective problems, highly reactive systems and transitional solutions. This method presents an excellent performance of this stabilization technique for all the cases mentioned above, except for the problems with strong reactives terms.
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