Time-accurate solution of stabilized convection-diffusion-reaction equations: II - accuracy analysis and examples
The paper addresses the development of time-accurate methods for solving transient convection-diffusion -reaction problems using finite elements. The accuracy characteristics of the spatially stabilized implicit multi-stage time-stepping schemes developed in a companion paper (Part I of this work) a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8474 |
| Acceso en línea: | https://hdl.handle.net/2117/8474 https://dx.doi.org/10.1002/cnm.518 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite element method Spatial analysis convection-diffusion-reaction time-stepping schemes stabilization least squares finite element method Elements finits, Mètode dels -- Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Sumario: | The paper addresses the development of time-accurate methods for solving transient convection-diffusion -reaction problems using finite elements. The accuracy characteristics of the spatially stabilized implicit multi-stage time-stepping schemes developed in a companion paper (Part I of this work) are analysed and compared here. This is done by means of a Fourier analysis. An important improvement is observed when the order of the method is increased. Moreover, the stabilization techniques proposed (streamline-upwind Petrov-Galerkin (SUPG), Galerkin least-square (GLS), sub-grid scale (SGS) and least squares) do not degrade the phase accuracy. Finally, some examples are presented to show the applicability of these schemes. |
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