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Título

Accurate and efficient simulation of transport in multidimensional flow

Autor Latorre Garcés, Borja ; García-Navarro, Pilar; Murillo, J.; Burguete Tolosa, Javier
Palabras clave high-order schemes
linear advection
multidimensional flow
CFA
computational efficiency
Legendre polynomials
Fecha de publicación feb-2011
EditorJohn Wiley & Sons
Citación Latorre B, García-Navarro P, Murillo J, Burguete J. Accurate and efficient simulation of transport in multidimensional flow. International Journal for Numerical Methods in Fluids 65 (4): 405-431 (2011)
ResumenA new numerical method to obtain high-order approximations of the solution of the linear advection equation in multidimensional problems is presented. The proposed conservative formulation is explicit and based on a single updating step. Piecewise polynomial spatial discretization using Legendre polynomials provides the required spatial accuracy. The updating scheme is built from the functional approximation of the exact solution of the advection equation and a direct evaluation of the resulting integrals. The numerical details for the schemes in one and two spatial dimensions are provided and validated using a set of numerical experiments. Test cases have been oriented to the convergence and the computational efficiency analysis of the schemes.
Descripción 27 Pags., 19 Figs., 1 Tabl. The definitive version is available at: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363
Versión del editorhttp://dx.doi.org/10.1002/fld.2189
URI http://hdl.handle.net/10261/52665
DOI10.1002/fld.2189
ISSN0271-2091
E-ISSN1097-0363
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