Abstract

GALEANO URUENA, Carlos Humberto; MANTILLA GONZALEZ, Juan Miguel  and  GARZON ALVARADO, Diego Alexander. The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems. Ing. Investig. [online]. 2009, vol.29, n.2, pp.81-87. ISSN 0120-5609.

This article describes the streamline upwind Petrov-Galerkin (SUPG) method as being a stabilisation technique for resolving the diffusion-advection-reaction equation by finite elements. The first part of this article has a short analysis of the importance of this type of differential equation in modelling physical phenomena in multiple fields. A one-dimensional description of the SUPG method is then given to extend this basis to two and three dimensions. The outcome of a strongly advective and a high numerical complexity experiment is presented. The results show how the version of the implemented SUPG technique allowed stabilised approaches in space, even for high Peclet numbers. Additional graphs of the numerical experiments presented here can be downloaded from www.gnum.unal.edu.co.

Keywords : streamline upwind Petrov Galerkin; stabilisation; diffusion-advection.

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