Una formulación numérica de volúmenes finitos de alto orden basada en el Método de Mínimos Cuadrados Móviles para flujo compresible
Abstract: In this work we show a numerical methodology for the resolution of compressible ows in both,structured and unstructured grids. The Moving Least Squares method (MLS) is used for the computation of the gradients and successive derivatives in a higherorder finite volume framework. Using the m...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | español |
| OAI Identifier: | oai:upcommons.upc.edu:2117/77228 |
| Acceso en línea: | https://hdl.handle.net/2117/77228 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite element method Shock wave Compressibility Least squares Elements finits, Mètode dels Ones de xoc Compressibilitat Mínims quadrats Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Sumario: | Abstract: In this work we show a numerical methodology for the resolution of compressible ows in both,structured and unstructured grids. The Moving Least Squares method (MLS) is used for the computation of the gradients and successive derivatives in a higherorder finite volume framework. Using the multiresolution properties of the MLS methodology, we define a shock-detection methodology. This new methodology allows the extension of slope limiters to finite volume methods with order higher than two. We present some numerical examples that show the accuracy and robustness of the numerical method. |
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