Abstract

GALEANO, Carlos Humberto; GARZON, Diego Alexander  and  MANTILLA, Juan Miguel. A comparison between characteristic lines and streamline upwind Petrov-Galerkin method for advection dominated problems. Rev.fac.ing.univ. Antioquia [online]. 2010, n.52, pp.134-146. ISSN 0120-6230.

This article develops numerically the advection-diffusion equation problem, using Galerkin on characteristic lines and Streamline Upwind Petrov- Galerkin (SUPG) methods. The dominated advective conditions in the solved problem showed that for cases where high Peclet numbers are encountered, characteristic lines don’t achieve a stable solution, as SUPG does. Nevertheless, for low Peclet numbers, characteristic lines achieve stabilized results and total energy norm errors slightly lower to SUPG’s. Convergence figures depicts that L² energy norm error in the solution by finite elements or Bubnov-Galerkin, is very similar to the error found with characteristic lines method.

Keywords : Petrov-Galerkin; characteristic lines; SUPG; advection; diffusion.

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