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== Abstract ==
 
== Abstract ==
  
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En este articulo se presenta una metodología numérica para el cálculo de ujos compresibles tanto en mallas estructuradas como en mallas no estructuradas. El método de Mínimos Cuadrados Móviles (MLS) se utiliza para el cálculo de los gradientes y las derivadas de alto orden necesarias para la construcción de un método de volúmenes finitos de alto orden. Además, las propiedades multiescala del método MLS se utilizan para la construcción de un detector de ondas de choque, que permite la utilización de los métodos de limitación de pendiente con métodos de orden mayor que dos. Se muestran ejemplos numéricos de la precisión y robustez del método numérico presentado. Summary 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 nite volume framework. Using the multiresolution properties of the MLS methodology, we dene a shock-detection methodology. This new methodology allows the extension of slope limiters to nite 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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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 nite volume framework. Using the multiresolution properties of the MLS methodology, we dene a shock-detection methodology. This new methodology allows the extension of slope limiters to nite volume methods with order higher than two. We present some numerical examples that show the accuracy and robustness of the numerical method.
  
 
== Full document ==
 
== Full document ==
 
<pdf>Media:draft_Content_438922311RR262C.pdf</pdf>
 
<pdf>Media:draft_Content_438922311RR262C.pdf</pdf>

Latest revision as of 11:01, 14 June 2017

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 nite volume framework. Using the multiresolution properties of the MLS methodology, we dene a shock-detection methodology. This new methodology allows the extension of slope limiters to nite 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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Published on 01/04/10
Accepted on 01/04/10
Submitted on 01/04/10

Volume 26, Issue 2, 2010
Licence: CC BY-NC-SA license

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