The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems
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 mod...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
2009-05-01
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| Series: | Ingeniería e Investigación |
| Subjects: | |
| Online Access: | https://revistas.unal.edu.co/index.php/ingeinv/article/view/15166 |
| _version_ | 1818152853951217664 |
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| author | Carlos Humberto Galeano Urueña Juan Miguel Mantilla González Diego Alexander Garzón Alvarado |
| author_facet | Carlos Humberto Galeano Urueña Juan Miguel Mantilla González Diego Alexander Garzón Alvarado |
| author_sort | Carlos Humberto Galeano Urueña |
| collection | DOAJ |
| description | 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 me- thod 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. |
| first_indexed | 2024-12-11T14:01:20Z |
| format | Article |
| id | doaj.art-41f614167f0c472882e6f904a2018eb3 |
| institution | Directory Open Access Journal |
| issn | 0120-5609 2248-8723 |
| language | English |
| last_indexed | 2024-12-11T14:01:20Z |
| publishDate | 2009-05-01 |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Ingeniería e Investigación |
| spelling | doaj.art-41f614167f0c472882e6f904a2018eb32022-12-22T01:03:50ZengUniversidad Nacional de ColombiaIngeniería e Investigación0120-56092248-87232009-05-01292818714019The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problemsCarlos Humberto Galeano UrueñaJuan Miguel Mantilla GonzálezDiego Alexander Garzón AlvaradoThis 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 me- thod 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.https://revistas.unal.edu.co/index.php/ingeinv/article/view/15166streamline upwind Petrov Galerkinstabilisationdiffusion-advection |
| spellingShingle | Carlos Humberto Galeano Urueña Juan Miguel Mantilla González Diego Alexander Garzón Alvarado The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems Ingeniería e Investigación streamline upwind Petrov Galerkin stabilisation diffusion-advection |
| title | The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems |
| title_full | The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems |
| title_fullStr | The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems |
| title_full_unstemmed | The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems |
| title_short | The streamline upwind Petrov-Galerkin stabilising method for the numerical solution of highly advective problems |
| title_sort | streamline upwind petrov galerkin stabilising method for the numerical solution of highly advective problems |
| topic | streamline upwind Petrov Galerkin stabilisation diffusion-advection |
| url | https://revistas.unal.edu.co/index.php/ingeinv/article/view/15166 |
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