Análisis de la estabilidad espacio-temporal del método Petov-Galerkin en contracorriente para la ecuaciones de difusión-advencción
This article analyzes the space and temporal stability of a numerical solution of the diffusion advection equation through the streamline upwind PetrovGalerkin Method (SUPG), along with a BackwardEuler temporal discretization. In the first part the fundamental concepts of the SUPG technique for spac...
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| Autores principales: | , , |
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| Formato: | Artículo |
| Lenguaje: | español |
| Publicado: |
2010
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| Materias: | |
| Acceso en línea: | https://dialnet.unirioja.es/servlet/oaiart?codigo=7678255 |
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| Sumario: | This article analyzes the space and temporal stability of a numerical solution of the diffusion advection equation through the streamline upwind PetrovGalerkin Method (SUPG), along with a BackwardEuler temporal discretization. In the first part the fundamental concepts of the SUPG technique for space stabilization in two dimensions, and the temporal discretization considerations are presented. Next the methodology and necessary expressions for computer implementation of the method are treated. Two cases of study are developed in which the space and temporal stability of the implemented solution are compared with those obtained by means of the conventional BubnovGalerkin approach. The error in theenergy normis used to analyze the stability of the obtained results. Videos and additional graphs of theproblems in this article can bedownloaded from www.gnum.unal.edu.co |
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